>Hi. I've written code for a computer algebra system for
>determining the PDF of discrete order statistics. I'm
>looking for applications to demonstrate the usefulness of
>this code. . . . I have another card example, but I'd like an
>application in some other arena.
How about a free throw shooting example? A 90% free throw shooter takes
100 free throws. He or she can possibly make anywhere from 0 to 100 by 1,
with 90 being the single most likely result.
A harder problem could be the longest streak of made free throws in 100
attempts. In 100 free throws from a 90% free throw shooter, what's the pdf
of max streak look like? The longest streak could be 1 (hit, miss, hit,
miss, . . . -- *very* unlikely) or 2 or 3 . . . or 100 (which is every free
throw was made). I simulated this (the average longest streak is around 26
or 27, with a long right tail), but have not worked out the exact
distribution (I'm an economist not a statistician -- said as if Bones McCoy
from ancient Star Trek fame :-)). Can your code do this? I'd be
interested in seeing that . . .
***********************
Humberto Barreto
Department of Economics
Wabash College
Crawfordsville, IN 47933
Phone: 765-361-6315
FAX: 765-361-6277
Email: [EMAIL PROTECTED]
WWW: http://www.wabash.edu/depart/economic/barretoh/barretoh.html
