Student Puzzle Corner
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 November 15, 2018. The names of student members who submit correct solutions, and the answer, …
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…
A quick reminder: the deadline for submitting your solution to Anirban DasGupta’s latest puzzle (#20) is April 23, 2018. You can find the puzzle here.…
Following “guest puzzler” Stanislav Volkov’s rotating wheel probability puzzle (solution below), Anirban DasGupta sets a statistics puzzle:
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…