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

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

ESAIM: Probability and Statistics (2010)

  • Volume: 9, page 206-219
  • ISSN: 1292-8100

Abstract

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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 of some estimators of these overlap measures. Confidence intervals for the measures are also constructed via bootstrap methods and Taylor series approximation.

How to cite

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Al-Saidy, Obaid, Samawi, Hani M., and Al-Saleh, Mohammad F.. "Inference on overlap coefficients under the Weibull distribution: Equal shape parameter." ESAIM: Probability and Statistics 9 (2010): 206-219. <http://eudml.org/doc/104332>.

@article{Al2010,
abstract = { 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 of some estimators of these overlap measures. Confidence intervals for the measures are also constructed via bootstrap methods and Taylor series approximation. },
author = {Al-Saidy, Obaid, Samawi, Hani M., Al-Saleh, Mohammad F.},
journal = {ESAIM: Probability and Statistics},
keywords = {Bootstrap method; Matusia's measure; Morisita's measure; Overlap coefficients; Taylor expansion; Weitzman's measure. ; Overlap coefficients; Weitzman's measure},
language = {eng},
month = {3},
pages = {206-219},
publisher = {EDP Sciences},
title = {Inference on overlap coefficients under the Weibull distribution: Equal shape parameter},
url = {http://eudml.org/doc/104332},
volume = {9},
year = {2010},
}

TY - JOUR
AU - Al-Saidy, Obaid
AU - Samawi, Hani M.
AU - Al-Saleh, Mohammad F.
TI - Inference on overlap coefficients under the Weibull distribution: Equal shape parameter
JO - ESAIM: Probability and Statistics
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 206
EP - 219
AB - 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 of some estimators of these overlap measures. Confidence intervals for the measures are also constructed via bootstrap methods and Taylor series approximation.
LA - eng
KW - Bootstrap method; Matusia's measure; Morisita's measure; Overlap coefficients; Taylor expansion; Weitzman's measure. ; Overlap coefficients; Weitzman's measure
UR - http://eudml.org/doc/104332
ER -

References

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