Publication detail
Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution
KONEČNÁ, T. HÜBNEROVÁ, Z.
English title
Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution
Type
journal article in Scopus
Language
en
Original abstract
The Weibull distribution is frequently applied in various fields, ranging from economy, business, biology, to engineering. This paper aims at estimating the parameters of two-parameter Weibull distribution are determined. For this purpose, the method of quantiles (three different choices of quantiles) and Weibull probability plot method is utilized. The asymptotic covariance matrix of the parameter estimates is derived for both methods. For optimal random choices of quantiles, the variance, covariance and generalized variance is computed. The main contribution of this study is the introduction of the best choice of percentiles for the method of quantiles and the joint asymptotic efficiency comparison of applied methods.
English abstract
The Weibull distribution is frequently applied in various fields, ranging from economy, business, biology, to engineering. This paper aims at estimating the parameters of two-parameter Weibull distribution are determined. For this purpose, the method of quantiles (three different choices of quantiles) and Weibull probability plot method is utilized. The asymptotic covariance matrix of the parameter estimates is derived for both methods. For optimal random choices of quantiles, the variance, covariance and generalized variance is computed. The main contribution of this study is the introduction of the best choice of percentiles for the method of quantiles and the joint asymptotic efficiency comparison of applied methods.
Keywords in English
Weibull distribution, estimation of parameters, method of quantiles, Weibull probability plot, asymptotic covariance matrix, joint asymptotic efficiency comparison
Released
28.02.2019
Publisher
Mendel University Press
Location
Brno
ISSN
1211-8516
Volume
67
Number
1
Pages from–to
253–263
Pages count
12
BIBTEX
@article{BUT156156,
author="Tereza {Konečná} and Zuzana {Hübnerová},
title="Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution",
year="2019",
volume="67",
number="1",
month="February",
pages="253--263",
publisher="Mendel University Press",
address="Brno",
issn="1211-8516"
}