Detail publikace
Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution
KONEČNÁ, T. HÜBNEROVÁ, Z.
Anglický název
Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution
Typ
článek v časopise ve Scopus, Jsc
Jazyk
en
Originální abstrakt
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.
Anglický abstrakt
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.
Klíčová slova anglicky
Weibull distribution, estimation of parameters, method of quantiles, Weibull probability plot, asymptotic covariance matrix, joint asymptotic efficiency comparison
Vydáno
28.02.2019
Nakladatel
Mendel University Press
Místo
Brno
ISSN
1211-8516
Ročník
67
Číslo
1
Strany od–do
253–263
Počet stran
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"
}