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

Amal Helu; Hani Samawi

doi:10.1080/15598608.2011.10483739

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

Amal Helu, Hani Samawi

Biostatistics, Epidemiology, & Environmental Health Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	American English
Journal	Journal of Statistical Theory and Practice
Volume	5
DOIs	https://doi.org/10.1080/15598608.2011.10483739
State	Published - Jan 1 2011

Keywords

Bootstrap Method
Matusita's Measure
Morisita's Measure
Overlap Measures
Ranked Set Sampling
Taylor Expansion
Weitzman's Measure

DC Disciplines

Public Health
Biostatistics
Community Health

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http://dx.doi.org/10.1080/15598608.2011.10483739

Cite this

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AB - 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.

KW - Bootstrap Method

KW - Matusita's Measure

KW - Morisita's Measure

KW - Overlap Measures

KW - Ranked Set Sampling

KW - Taylor Expansion

KW - Weitzman's Measure

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JO - Journal of Statistical Theory and Practice

JF - Journal of Statistical Theory and Practice

ER -

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

Abstract

Keywords

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