Publication detail

Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution

KONEČNÁ, T. HÜBNEROVÁ, Z.

Original Title

Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution

Type

journal article in Scopus

Language

English

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.

Keywords

Weibull distribution, estimation of parameters, method of quantiles, Weibull probability plot, asymptotic covariance matrix, joint asymptotic efficiency comparison

Authors

KONEČNÁ, T.; HÜBNEROVÁ, Z.

Released

28. 2. 2019

Publisher

Mendel University Press

Location

Brno

ISBN

1211-8516

Periodical

Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis

Year of study

67

Number

1

State

Czech Republic

Pages from

253

Pages to

263

Pages count

12

URL

https://acta.mendelu.cz/67/1/0253/

BibTex

@article{BUT156156,
  author="Tereza {Konečná} and Zuzana {Hübnerová}",
  title="Asymptotic Comparison of Parameters Estimates of Two-parameter Weibull Distribution",
  journal="Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis",
  year="2019",
  volume="67",
  number="1",
  pages="253--263",
  doi="10.11118/actaun201967010253",
  issn="1211-8516",
  url="https://acta.mendelu.cz/67/1/0253/"
}