I don't have a specific application to suggest, and you may already know
the paper I'm about to suggest, but for what it's worth, I highly
recommend the paper by Diaconis and Sturmfels, (1998) "Algebraic
Algorithms for Sampling from Conditional Distributions," Annals of
Statistics, v. 26, pp. 363-397.  It's a lovely paper, but also includes
fairly extensive pointers to related literature, and some of those papers
may help with what you're looking for.
  George

George W. Cobb
Mount Holyoke College
South Hadley, MA  01075
413-538-2401

On Fri, 7 Jan 2000, diane wrote:

> Date: Fri, 07 Jan 2000 07:26:24 -0800
> From: diane <[EMAIL PROTECTED]>
> To: [EMAIL PROTECTED]
> Subject: discrete order statistics applications
> 
> 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. For example, here's one application from Hogg &
> Craig's Mathematical Statistics book from 1995:
> 
> Ex. Draw 15 cards at random and without replacement from a
> deck of 25 cards numbered 1, 2, 3, ..., 25. Find the PDF of
> the median of the cards selected.
> 
> The code will work for items drawn with and without
> replacement. I have another card example, but I'd like an
> application in some other arena. Any suggestions as to where
> I should look for such applications or if anyone has a
> problem in mind, please let me know. Any help would be
> greatly appreciated.
> 
> Diane
> 
> 
> 
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