Inference on Overlapping Coefficients in Two Exponential Populations Using Ranked Set Sampling

Title & Authors
Inference on Overlapping Coefficients in Two Exponential Populations Using Ranked Set Sampling
Samawi, Hani M.; Al-Saleh, Mohammad F.;

Abstract
We consider using ranked set sampling methods to draw inference about the three well-known measures of overlap, namely Matusita's measure $\small{\rho}$, Morisita's measure $\small{\lambda}$ and Weitzman's measure $\small{\Delta}$. Two exponential populations with different means are considered. Due to the difficulties of calculating the precision or the bias of the resulting estimators of overlap measures, because there are no closed-form exact formulas for their variances and their exact sampling distributions, Monte Carlo evaluations are used. Confidence intervals for those measures are also constructed via the bootstrap method and Taylor series approximation.
Keywords
Bootstrap method;Matusita's measure;Morisita's measure;overlap coefficients;Taylor expansion;Weitzman's measure;ranked set sampling;
Language
English
Cited by
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Journal of the Korean Data Analysis Society, 2010. vol.12. 1, pp.83-93
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