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On Reliability and Ratio in the Beta Case

  • Woo, Jung-Soo
  • Published : 2009.05.31

Abstract

We consider distribution, reliability and moment of ratio in two independent beta random variables X and Y, and reliability and $K^{th}$ moment of ratio are represented by a mathematical generalized hypergeometric function. We introduce an approximate maximum likelihood estimate(AML) of reliability and right-tail probability in the beta distribution.

Keywords

Beta distribution;generalized hypergeometric function;psi-function;reliability;right tail probability

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