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Math Help - Research

  1. #1
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    Research

    i need mathematical proof of Probability mass function of negative binomial distribution.
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  2. #2
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    all trials are independent. The chance of the kth failure happening on the nth trial is:

    P(k-1 failures in n-1 trials) x P(nth trial is a failure)

    The first term is just the "regular" binomial pmf (with suitable parameters) and the second term is (1-p).
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  3. #3
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    Research problem

    Thanks for reply to post, can we do it use induction (as binomial ) by expressing negative binomial as sum of geometric random variable
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  4. #4
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    Quote Originally Posted by muhammad View Post
    Thanks for reply to post, can we do it use induction (as binomial ) by expressing negative binomial as sum of geometric random variable
    You need to do the research. Go to your institute's library. Find this book: Amazon.com: Univariate Discrete Distributions (Wiley Series in Probability and Statistics) (9780471272465): Norman L. Johnson, Adrienne W. Kemp, Samuel Kotz: Books

    Read it.
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