Inference on Reliability in the Gamma and Inverted Gamma Distributions

Jungsoo Woo

Abstract


We derive distributions of ratio for two independent gamma variables and two independent inverted gamma variables and then we observe the skewness of two ratio densities. We then consider inference on reliability in two independent gamma random variables and two independent inverted gamma random variables each having known shape parameters.


Keywords


Beta function, Hypergeometric function, Inverted gamma, Likelihood ratio test, Reliability, Whittaker function.

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DOI: http://dx.doi.org/10.18187/pjsor.v8i3.533

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Title

Inference on Reliability in the Gamma and Inverted Gamma Distributions

Keywords

Beta function, Hypergeometric function, Inverted gamma, Likelihood ratio test, Reliability, Whittaker function.

Description

We derive distributions of ratio for two independent gamma variables and two independent inverted gamma variables and then we observe the skewness of two ratio densities. We then consider inference on reliability in two independent gamma random variables and two independent inverted gamma random variables each having known shape parameters.


Date

2012-07-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810