Student Puzzle Corner
Contributing Editor Anirban DasGupta writes the solution to puzzle 24:
Congratulations to the four student members who sent in correct answers—some more complete than others. They are Prakash Chakraborty, Purdue University; Sihan Huang, Columbia University; Kumar Somnath, The Ohio State University; and Andrew Thomas, Purdue University.
Now for the…
Contributing Editor Anirban DasGupta sets this problem. Student members of the IMS are invited to submit solutions (to bulletin@imstat.org with subject “Student Puzzle Corner”). The deadline is June 25, 2019.
Here’s Anirban’s latest puzzle. He says:
To encourage many students to send an answer, we’re posing a very simple problem …
Bulletin Editor Anirban DasGupta sets this problem. Student members of the IMS are invited to submit solutions (to bulletin@imstat.org with subject “Student Puzzle Corner”). The deadline is January 25, 2019.
Anirban DasGupta says:
The previous problem on inference based on the distribution of a nonsufficient statistic required the use of …
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 $F_n$…