Student Puzzle Corner
Congratulations to Mirza Uzair Baig at the University of Hawai’i at Mānoa, who wrote an excellent solution to the problem.
Note that the statistic Tn may be represented as
\[ T_n = I_{Y_{(1)} < X_{(1)}, Y_{(n)} < X_{(n)}}\, \bigg [\sum_{i = 1}^n
I_{Y_i < X_{(1)}} + \sum_{i = 1}^n I_{X_i > Y_{(n)}}\bigg ]\]
\[+ \,I_{X_{(1)} < Y_{(1)}, X_{(n)} < Y_{(n)}}\, \bigg [\sum_{
i = 1}^n I_{X_i < Y_{(1)}} + \sum_{i = 1}^n I_{Y_i > X_{(n)}}\bigg ].\]
Denote the empirical CDF of $X_1, \cdots , X_n$ by $F_n$…
Deadline: September 7, 2018
Here’s Anirban DasGupta’s latest puzzle, probability this time:
This problem is a comparatively simple one. You can get a reasonable idea of the answers to the questions that we pose by large simulations, but you cannot get the algebraic answers that we are asking for. Here…
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This is one of those quick-and-dirty methods, popularized by John Tukey, one that makes some intuitive sense, and can be very quickly implemented. This issue’s problem is about testing the equality of two…
The Student Puzzle Corner contains problems in statistics or probability. Solving them may require a literature search.
Student IMS members are invited to submit solutions (to bulletin@imstat.org with subject “Student Puzzle Corner”). The deadline is January 15, 2018. The names and affiliations of student members who submit correct solutions, and …