# On Inference of Overlapping Coefficients in Two *Lomax* Populations Using Different Sampling Methods

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## Abstract

This paper investigates point and interval estimation for some well-known measures of overlap. Two types of sampling procedures, namely, Simple Random Sample and Ranked Set Sample from two Lomax populations with different shape parameters are considered. Simulation studies are conducted to get insight on the performance of the proposed estimators. Taylor series approximations as well as bootstrap method are used to construct confidence intervals for those measures.

## AMS Subject Classification

62F10 62F12## Key-words

Bootstrap method Matusita’s measure Morisita’s measure Weitzman’s measure Overlap measures Taylor expansion Ranked set sampling## Preview

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© Grace Scientific Publishing 2011