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Inference on overlap coefficients under the Weibull distribution : equal shape parameter

Obaid Al-Saidy; Hani M. Samawi; Mohammad F. Al-Saleh — 2005

ESAIM: Probability and Statistics

In this paper we consider three measures of overlap, namely Matusia’s measure $ρ$ , Morisita’s measure $λ$ and Weitzman’s measure $Δ$ . These measures are usually used in quantitative ecology and stress-strength models of reliability analysis. Herein we consider two Weibull distributions having the same shape parameter and different scale parameters. This distribution is known to be the most flexible life distribution model with two parameters. Monte Carlo evaluations are used to study the bias and precision...

Inference on overlap coefficients under the Weibull distribution: Equal shape parameter

Obaid Al-Saidy; Hani M. Samawi; Mohammad F. Al-Saleh — 2010

ESAIM: Probability and Statistics

In this paper we consider three measures of overlap, namely Matusia's measure , Morisita's measure and Weitzman's measure . These measures are usually used in quantitative ecology and stress-strength models of reliability analysis. Herein we consider two Weibull distributions having the same shape parameter and different scale parameters. This distribution is known to be the most flexible life distribution model with two parameters. Monte Carlo evaluations are used to study the bias and precision...

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