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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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Woo, J. (2012). Inference on Reliability in the Gamma and Inverted Gamma Distributions. Pakistan Journal of Statistics and Operation Research, 8(3), 635-643. https://doi.org/10.18187/pjsor.v8i3.533