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Lecture Notes - Monograph Series

This series is published by the IMS. Please contact the Dues and Subscriptions Office to place your order. You can order online or download a pdf order form.

Vol

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57

Optimality: The Third Erich L. Lehmann Symposium

Javier Rojo, Editor

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The 3rd Lehmann Symposium was held in May 2007. The papers presented int his volume cover several areas: some of the works consider classical aspects of the discipline and others deal with contemporary aspects of the theory and applications of statistics. Thus, the reader will find a fascinating section dedicated to the subject of optimality. Lehmann, Bahadur and Bickel, and Huber provide excellent discussions on various aspects of optimality. Semi-parametric and non-parametric inference, bootstrap tests of hypotheses, functional data analysis, asymptotic theory, ad-hoc networks, and finance are some of the areas represented in the volume. It has been a goal of the Symposium to have a probability component.

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Special Volume A

Stochastics: A Festschrift for Priscilla Greenwood

Nick Bingham, Igor Estigneev, Editors

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This volume includes the articles written in honor of Priscilla Greenwood.

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56

Pac-Bayesian Supervised Classification: The Thermodynamics of Statistical Learning

Olivier Catoni

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This monograph deals with adaptive supervised classification, using tools borrowed from statistical mechanics and information theory, stemming from the PAC-Bayesian approach pioneered by David McAllester and applied to a conception of statistical learning theory forged by Vladimir Vapnik.

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55

Asymptotics: Particles, Processes and Inverse Problems

Eric A. Cator, Geurt Jongbloed, Cor Kraaikamp, Hendrik P. Lopuhaä, Jon A. Wellner, Editors

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At the occasion of the official retirement of Piet Groeneboom as professor of statistics at Delft University of Technology and the VU University in Amsterdam, a workshop was held in Leiden in July 2006. This volume contains papers presented at that workshop as well as other contributions. A wide field of research is covered, reflecting Piet’s broad interest. The main theme is Asymptotics, in particular related to interacting particle systems, stochastic processes and shape constrained estimation, as often encountered in inverse problems. The reader can, however, also find papers on other more or less related subjects.

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54

Complex datasets and inverse problems: Tomography, Networks and Beyond

Regina Liu, William Strawderman, Cun-Hui Zhang, Editors

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This book is a collection of papers dedicated to the memory of Yehuda Vardi. Yehuda was the chair of the Department of Statistics of Rutgers University when he passed away unexpectedly on January 13, 2005. On October 21--22, 2005, some 150 leading scholars from many different fields, including statistics, telecommunications, biomedical engineering, bioinformatics, biostatistics and epidemiology, gathered at Rutgers in a conference in his honor. This conference was on "Complex Datasets and Inverse Problems: Tomography, Networks, and Beyond,'' and was organized by the editors. The present collection includes research work presented at the conference, as well as contributions from Yehuda's colleagues. The theme of the conference was networks and other important and emerging areas of research involving incomplete data and statistical inverse problems.

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53

Multivariate Statistics. A Vector Space Approach

Morris L. Eaton

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The purpose of this book is to present a version of multivariate statistical theory in which vector space and invariance methods replace, to a large extent, more traditional multivariate methods. The book is a text. Over the past ten years, various versions have been used for graduate multivariate courses at the University of Chicago, the University of Copenhagen, and the University of Minnesota. Designed for a one year lecture course or for independent study, the book contains a full complement of problems and problem solutions.

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52

Time Series and Related Topics. In Memory of Ching-Zong Wei

Hwai-Chung Ho, Ching-Kang Ing, Tze Leung Lai, Editors

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A major research area of Ching-Zong Wei (1949--2004) was time series models and their applications in econometrics and engineering, to which he made many important contributions. A conference on time series and related topics in memory of him was held on December 12--14, 2005, at Academia Sinica in Taipei, where he was Director of the Institute of Statistical Science from 1993 to 1999. Of the forty-two speakers at the conference, twenty contributed to this volume.

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51

High Dimensional Probability

Evarist Giné, Vladimir Koltchinskii, Wenbo Li, Joel Zinn, Editors

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The volume includes papers presented at the IVth International Conference on High Dimensional Probability. This area of probability deals with a variety of techniques (randomization, decoupling, generic chaining, measure concentration, exponential inequalities and series representations) that originated in Probability in Banach Spaces and are now expanding in several areas of Mathematics, Statistics and Machine Learning.

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50

Recent Developments in Nonparametric Inference and Probability

Jiayang Sun, Anirban DasGupta, Vince Melfi, Connie Page, Editors

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There have been extensive developments recently in modern nonparametric inference and modeling. Nonparametric and semi-parametric methods are especially useful with large amounts of data that are now routinely collected in many areas of science. Probability and stochastic modeling are also playing major new roles in scientific applications. This refereed special volume highlights challenges and developments at this interface of statistics, probability and the sciences, and honors Michael B. Woodroofe for his pioneering contributions to nonparametric inference and probability.

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49

Optimality: The Second Erich L. Lehmann Symposium

Javier Rojo, Editor

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The volume presents a collection of refereed papers dealing with the issue of optimality in several areas including: multiple testing, transformation models, competing risks, regression trees, density estimation, copulas, and robustness.

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48

Dynamics and Stochastics: Festschrift in honor of M.S. Keane

Dee Denteneer, Frank Den Hollander, Evgeny Verbitskiy, Editors

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This volume contains 29 contributions by Mike's closest colleagues covering a broad range of topics in Dynamics and Stochastics.

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47

Recent Developments in Multiple Comparison Procedures

Y. Benjamini, F. Bretz and S. Sarkar, Editors

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This volume is based on the NSF-CBMS Conference in Mathematical Sciences "New Horizons in Multiple Comparison Procedures" held in August 2001at Temple University, Philadelphia, with Yosef Hochberg as the key speaker. The conference was organized in response to the sudden upsurge of research that has taken place in the area of multiple comparisons. A number of newer ideas have emerged from the recent research activities that could generate a steady stream of new research. This volume is a collection of 11 papers, covering a broad range of topics in Multiple Comparisons, which were invited for the conference. The goal of this volume is to gain deeper understanding of these ideas and to promote further research activities in this area.

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46

Stein's Method: Expository Lectures and Applications

Persi Diaconis and Susan Holmes, Editors

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Stein's method is one of the most powerful tools for proving limit theorems with sharp, explicit errors for complex dependent problems. It is curiously hard to grasp how and why it works since it avoids both characteristic functions and higher moments. This book consists of tutorial and survey papers aimed at teaching Stein's method to non specialists. The book provides a self contained development with motivation and full proofs. As a unifying theme, all papers use Stein's approach of exchangeable pairs. In addition to the usual Poisson and Normal approximations the book gives applications to convergence of Markov chains on finite state spaces, to birth and death chains and to empirical process convergence for the bootstrap. One novel feature is the development of Stein's method as an adjunct to simulation via Monte Carlo. Usually, the identities underlying the method give an explicit error term which is bounded. With the present version using exchangeable pairs, the error is given as an explicit expectation for the reversible Markov chain. It can thus be easily simulated to give improvements to classical approximations. The authors of various chapters, Persi Diaconis, Jason Fulman, Gesine Reinert, Susan Holmes, Mark Huber and Charles Stein have used common notation and worked together to achieve a unified treatment.

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45

A Festschrift to Honor Herman Rubin

Anirban Dasgupta, Editor

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This volume is a collection of 32 original papers and two biographical accounts put together as a Festschrift to Herman Rubin to honor his diverse and many deep contributions to mathematical sciences over more than 50 years. The topics of the original articles touch on the main themes in which Professor Rubin has contributed, as well as other topics of intense current activity. This volume contains innovative new methodological articles on cluster analysis, goodness of fit, likelihood inference, classification algorithms, and meta analysis. On the purely theoretical side, there are a number of comprehensive review articles on fractional Brownian motion, stochastic integration, de Finetti theorems, admissibility, and estimation under constraints. Each of these review articles provides readable glimpses into the current state of the art. Some notable classic unsolved problems in number theory and random permutations provide attractive additions to the interesting landscape of this volume.

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44

The First Erich L. Lehmann Symposium - Optimality

Javier Rojo and Victor Pérez-Abreu, Editors

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The First Erich L. Lehmann Symposium was held in Guanajuato, México during May 2002, hosted by the Centro de Investigaciones Matemáticas (CIMAT). The goal of this series of symposia is to examine the role that Optimality can play, or should play, in modern statistics. The articles presented here are a subset of all the papers presented during the Symposium. All papers have been refereed.

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43

Crossing Boundaries: Statistical Essays in Honor of Jack Hall

John E Kolassa and David Oakes, Editors

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The manuscripts in this volume represent some of the research presented at The Symposium in Honor of the 70th Birthday of W. Jackson Hall This conference was held on September 25-26, 1999, at the University of Rochester in Rochester, New York. This work reflects Jack's interest in many areas of mathematical statistics, including reliability, decision theory, randomization tests, sequential analysis, large-sample theory, semiparametric inference, Bayesian methods and ROC curve analysis. Applications are given to a wide variety of disciplines, including medical device trials, health care resource management, oncology, data mining and information processing.

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42

Mathematical Statistics and Applications: Festschrift for Constance van Eeden

Marc Moore, Sorana Froda and Christian Léger, Editors

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This special volume was prepared to honor the 75th birthday of Constance van Eeden. It contains 28 original papers and the list of authors includes more than 20 IMS Fellows. Many papers offer contributions to two areas where Constance van Eeden made major contributions, namely nonparametric statistics and decision theory. The other areas covered include various problems of statistical theory and probability, dependent data modeling, censoring, and various statistical applications.

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41

Probability, Statistics and their Applications: Papers in Honor of Rabi Bhattacharya

Eds. Krishna Athreya, Mukul Majumdar, Madan Puri, Edward Waymire

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This volume can no longer be purchased in print but will remain freely available online.

This volume honoring Professor Rabi Bhattacharya contains research contributions to a broad range of topics from a distinguished group of probabilists and statisticians. The areas covered include time series, stochastic differential equations, fractional Brownian motion, Levy Processes, iterated random maps and statistical inference. Several of the articles concern applications of these areas to economics, mathematical finance, population ecology, and mathematical physics. Apart from being a useful reference on contemporary research, the present volume could also be used in graduate seminars to expose students to current research on some exciting topics in probability, statistics and their applications.

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40

Science and Statistics: A Festschrift for Terry Speed

Darlene R. Goldstein, Editor

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This special volume has been compiled to honor Terry Speed. It contains contributions offered by his colleagues and students on such diverse topics as probability, algebraic experimental design, generalized linear models, statistical education, and assorted applications, including the US census, fire risk assessment, and genetics.

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39

R.R. Bahadur’s Lectures on the Theory of Estimation

S.M. Stigler, WH Wong, D. Xu

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The ten weeks lectures began with a review of the geometry of L2 function spaces and covered Bayes estimates, unbiased estimation, Fisher information, Cramer-Rao bounds, and the theory of maximum likelihood estimation.

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38

Model Selection

P. Lahiri, Editor

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This special volume contains four long review papers on model selection written by (i) C. R. Rao and Y. Wu (ii) H. Chipman, E. I. George and R. E. McCulloch (iii) J. O. Berger and L. R. Pericchi (iv) B. Efron and A. Gous. This special volume originates from a conference that was held in Lincoln, Nebraska, U.S.A., during March 24-26, 1999. It is not a volume of conference proceedings but it provides an excellent overview of model selection from the perspective of a few experts in the field.

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37

Selected Proceedings of the Symposium on Inference for Stochastic Processes

Edited by: I. V. Basawa, C. C. Heyde and R. L. Taylor

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Selected proceedings of a symposium held in May 2000 at the University of Georgia, Athens, Georgia. The symposium was cosponsored by the Institute of Mathematical Statistics and was a satellite meeting of the Fifth World Congress of the Bernoulli Society. This volume contains twenty papers by eminent scholars in addition to an overview article by the editors. The papers are divided into eight sections: 1. Introduction, 2. Stochastic Models: General, 3. Time Series, 4. Population Genetics, 5. Semi-parametric Inference, 6. Estimating Functions, 7. Spatial Models, 8. Perfect Simulation.

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36

State of the Art in Probability & Statistics Festschrift for Willem R. van Zwet

Edited by Mathisca de Gunst, Chris Klaassen & Aad van der Vaart

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The volume contains the proceedings of the symposium that was held on the same occasion, in Leiden, March 23-26, 1999, plus thirteen other papers, giving a total of 33 papers, reflecting Willem's broad interest.  The reader will, for instance, find papers on asymptotic expansions, the bootstrap, Brownian sheets, estimation of analytic functions, Markov spatial processes, order statistics, limit theorems, quantum statistics, decision theory, change point theory, earth-quake point process data, and the history of statistics. The papers were written in honor of Willem van Zwet (University of Leiden / EURANDOM) on the occasion of his 65th birthday.

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35

Game Theory, Optimal Stopping, Probability and Statistics

Edited by F. Thomas Bruss & Lucien Le Cam

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This special volume has been written to honor Professor Thomas S. Ferguson of the University of California at Los Angeles on the occasion of his 70th birthday. Edited by Bruss (ULB, Brussels) and Le Cam (UC, Berkeley).  Most papers are in areas in which Ferguson has played an important role . The reader will find papers on game theory (on Amazons, on the square root game, on games against prophets, and on randomized distributions), on problems of optimal stopping (secretary problems, optimal control, selecting monotone subsequences, and on lattices with applications to martingale theory), but also on maximum-likelihood, on density estimates in a metric space, as well as on probability topics such as boundary crossing probabilities, efficient coupling, and the almost sure number of pairwise sums of random integer subsets.

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34

New Developments and Applications in Experimental Design

Edited by Nancy Flournoy, William F. Rosenberger, and Weng Kee Wong

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Selected proceedings of a 1997 Joint AMS-IMS-SIAM Summer Conference.  The 16 papers in this volume fall into broad categories: population genetics, evolutionary genetics, protein structure, genetic mechanisms, quantitative genetics, human genetics, and sequence motifs. While some of these areas have long benefited from statistical input, others are new statistical ventures. These papers represent a sample of applications of Statistics to the fields of Molecular Biology and Genetics.

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33

Statistics in Molecular Biology and Genetics

Edited by F. Seillier-Moiseiwitsch

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This volume contains selected papers presented at the Joint Summer Research Conference in the Mathematical Sciences on this topic held at the University of Washington in Seattle, from June 22 to June 26, 1997, under the auspices of the IMS, AMS, and SIAM.

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32

Selected Proceedings of the Symposium on Estimating Functions

Edited by I.V. Basawa, V.P. Godambe, and R.L. Taylor

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This volume contains selected papers from the Symposium on Estimating Functions which was held at the University of Georgia from March 21, 1996 to March 23, 1996.  The volume contains 29 papers on a broad spectrum of topics by distinguished scholars preceded by an editorial overview.  The main theme of the Symposium can be described as "Statistics at a Juncture of a Synthesis" between the least squares methodology and the likelihood inference. The papers included in this volume represent the current state of the art on both the theory and applications of estimating functions. The applications include econometrics, time series, spatial statistics and geostatistics, biostatistics, queuing models. And Markov chains, among others.

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31

L1-Statistical Procedures and Related Topics

Edited by Yadolah Dodge

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This volume contains papers that discuss recent developments in many fields of statistical data analysis using the L1 methods, from an International Conference based on the L1 Norm and Related Methods that was held in Neuchatel, Switzerland, from August 11-15, 1997.

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30

Statistics, Probability and Game Theory: Papers in Honor of David Blackwell

Edited by T.S. Ferguson, L.S. Shapley, and J.B. MacQueen

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This volume has been created to honor Professor David Blackwell of the University of California at Berkeley by his students, colleagues, friends and admirers. Most of the papers of this volume are on topics connected with areas which Blackwell has played a major role.

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29

Bayesian Robustness

Edited by J.O. Berger, B. Betro, E. Moreno, L.R. Pericchi, F. Ruggeri, G. Slinetti, and L. Wasserman

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This volume contains the Proceedings of the Second International Workshop on Bayesian Robustness held in Rimini, Italy, from May 22-25, 1995. With fourteen invited papers (with Discussion) and seven contributed papers, all refereed, this volume spans a variety of topics including the latest theoretical developments, methodology and applications. Among the topics are: hierarchical models, model selections, clinical trials, large sample theory, time series, and speech and audio signal analysis, all treated in the context of robustness.

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28

Distributions with Fixed Marginals and Related Topics

Ludger Ruschendorf, Berthold Schweizer, and Michael D. Taylor

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These are the proceeding of the conference on "Distributions with Fixed Marginals, Doubly Stochastic Measures, and Markov Operators" held August 1-5, 1993, at the University of Washington in Seattle under the auspices of the AMS, IMS, and Siam. This conference was the sequel to an earlier "Symposium on Distributions with Given Marginals (Frechet Classes)" held in Rome in 1990 and organized by the Department of Statistics of the University La Sapienza, Rome, Italy.

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27

Analysis of Censored Data

Edited by H.L. Koul and J.V. Deshpande

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This volume contains papers that discuss the consistency of the posterior distributions under nonparametric setting, efficient estimation under interval censoring and use of graphic methods in analyzing randomly censored data, from an international Workshop On Analysis of Censored Data that was held in Pune, India.

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26

Stochastic Differential Equations in Infinite Dimensional Spaces

G. Kallianpur and J. Xiong

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This volume is an expanded bersion of the 1993 Barret Lectures delivered by Professor Gopinath Kallianpur at the University of Tennessee, Knoxville.

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25

Adaptive Designs

Edited by Nancy Flournoy and William F. Rosenberger

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This volume contains 20 papers whose topics include two-arm clinical trials, adaptive dose-response designs for quantile estimation and maximizing survival in the presence of opposing hazard functions, linear models, multinomial models, quality control and group testing.

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24

Multivariate Analysis and Its Applications

Edited by T.W. Anderson, K.T. Fang and I. Olkin

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This volume, based on an International Symposium held at Hong Kong Baptist College in 1992, presents work of many major figures in the theory of Multivariate Analysis and Highlights important recent trends in applications.

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23

Change-point Problems

Edited by H.G. Mueller and D. Siegmund

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Based on the AMS-IMS-SIAM Summer Research Conference on "Change -point Problems" at Mount Holyoke College, this volume contains 28 papers covering a wide range of change-point problems and theory.

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22

Stochastic Inequalities

Edited by Moshe Shaked and Y.L. Tong

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This volume is a collection of papers based on the lectures given at the joint IMS-ASA-SIAM Summer Research Conference on Stochastic Inequalities, July 1991.

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21

Weighted Empiricals and Linear Models

Hira L. Koul

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This monograph explores the usefulness of weighted empirical processes in studying linear regression and autoregression models.

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20

Spatial Statistics and Imaging

Edited by A. Passolo

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Proceedings of the Joint IMS-ASA-SIAM Summer Research Conference on Spatial Statistics and Imaging, held in Brunswick, Maine, June, 1988.

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19

Stochastic Orders and Decision Under Risk

K. Mosler and M.Scarsini

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A selection of papers presented at the International Workshop on Stochastic Orders and Decision Under Risk, held in Hamburg, May 1989.

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18

Selected Proceedings of the Sheffield Symposium on Applied Probability

I.V. Basawa and R.L. Taylor

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Proceedings of the Symposium on Applied Probability, held in Sheffield, August 1989.

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17

Current Issues in Statistical Inference: Essays in Honor of D. Basu

M. Ghosh and P.K. Pathak

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A festschrift volume dedicated to D. Basu on the occasion of his 65th birthday. Narrative papers by friends an colleagues review areas of statistics that interested Basu most during his active career.

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16

Topics in Statistical Dependence

H.W. Block, A.R. Sampson, and T.H. Savits

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Proceedings of the Symposium on Dependence in Probability and Statistics, held in Somerset, Pennsylvania, August 1987.

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15

Analytical Statistical Models

Ib M. Skovgaard

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An introduction to analytic statistical models.

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14

Invariant Measure on Group and Their Use in Statistics

Robert A. Wijsman

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A discussion of distributions in statistical models with groups of invariance transformations.

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13

Small Sample Asymptotics

Christopher A. Field and Elvezio Ronchetti

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This monograph provides coherent development of the ideas and techniques of small sample asymptotics. The authors aim to obtain asymptotic expansions which give accurate results for small sample sizes n, even down to n=1.

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12

An Introduction to Continuity, Extrema, and Related Topics for General Gaussian Processes

Robert J. Adler

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This monograph provides a general and abstract introduction to the theory of sample path properties of Gaussian processes based on concepts such as entropy and majorising measures.

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11

Group Representations in Probability and Statistics

Persi W. Diaconis

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These expanded lecture notes delve into the uses of group theory, particularly non-communicative Fourier analysis, in probability and statistics.

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10

Differential Geometry in Statistical Inference

S.I. Amari, O.E. Barndorff-Nielsen, R.E. Kass, S.L. Lauritzen, and C.R. Rao

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The papers collected in this volume present, in a concise yet comprehensive form, several major developments in research on differential geometry in statistics.

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9

Fundamentals of Statistical Exponential Families

Lawrence D. Brown

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This monograph presents a systematic treatment of the analytical an probabilistic properties of exponential families.

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8

Adaptive Statistical Procedures and Related Topics

Edited by John Van Ryzin

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Proceedings of the Symposium on Adaptive Statistical Procedures and Related Topics, held at Brookhaven National Laboratory, June 1985.

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7

Approximate Computation of Expectations

Charles Stein

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This monograph presents and abstract approach to the approximate computation of expectations.

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6

The Likelihood Principle

James O. Berger and Robert L. Wolpert

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This monograph presents a discussion and generalization of the likelihood principle and examines its implications for statistical inference.

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5

Inequalities in Statistics and Probability

Y.L. Tong

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Proceeding of the Symposium on Inequalities in Statistics and Probability, held in Lincoln, Nebraska, October 1982. This volume contains 30 research papers, some of them concentrating on models in fields of application in which inequalities are of particular value since exact results are not available.

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4

Zonal Polynomials

Akimichi Takemura

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This simplified and self-contained development of zonal polynomials uses only the standard tools of multinariate normal distribution theory and linear algebra. Zonal polynomials are widely used in evaluating the power of statistical tests in the field of multivariate analysis.

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3

Empirical Processes

Peter Gaenssler

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This monogragh presents a thorough and detailed description of the topics in the area of empirical processes. Several portions of the material are new and high-quality research that should be of interest to researchers and graduate students in probability, statistics, and mathematics.

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2

Survival Analyses

John Crowley and Richard A. Johnson

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Proceedings of the Special Topics Meeting sponsored by the Institute, held in Columbus, Ohio, October 1981. This was an interdisciplinary conference of researcher interested in the analysis of life length from both reliability and biomedical points of view.

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1

Essays on the Prediction Process

Frank B. Knight

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Four essays on various aspects of continuous-time random processes present an approach that provides broad unification of concepts and wide applicability of results.

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