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MathGroup Archive 2007

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BetaRegularized

  • To: mathgroup at smc.vnet.net
  • Subject: [mg80800] BetaRegularized
  • From: John <jwa0 at lehigh.edu>
  • Date: Sun, 2 Sep 2007 02:53:25 -0400 (EDT)

Specify values of p0,p1,alpha and beta that satisfy 0<p0<p1<1 and
0<alpha,beta<1.
Specify the value of the nonnegative integer c.

Assuming all variables, except n, have specified values, how do I
answer the following questions?

What is the largest positive value of n that satisfies
BetaRegularized[1-p0, n-c,c+1]>=1-alpha?
What is the smallest positive value of n that satisfies
BetaRegularized[1-p1,n-c,c+1]<=beta?
What are the positive  values, if any, of n that satisfy both
inequalities?

John



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