A general class of flexible Weibull distributions

Sangun Park, Jiwhan Park

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider a linear combination of two logarithms of cumulative hazard functions and propose a general class of flexible Weibull distribution functions which includes some well-known modified Weibull distributions (MWDs). We suggest a very flexible Weibull distribution, which belongs to the class, and show that its hazard function is monotone, bathtub-shaped, modified bathtub-shaped, or even upside-down bathtub-shaped. We also discuss the methods of least square estimation and maximum likelihood estimation of the unknown parameters. We take two illustrated examples to compare the suggested distribution with some current MWDs, and show that the suggested distribution shows good performances.

Original languageEnglish
Pages (from-to)767-778
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Volume47
Issue number4
DOIs
Publication statusPublished - 2018 Feb 16

Fingerprint

Weibull Distribution
Cumulative Hazard Function
Hazard Function
Least Squares Estimation
Maximum Likelihood Estimation
Logarithm
Unknown Parameters
Linear Combination
Monotone
Distribution Function
Class

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Cite this

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A general class of flexible Weibull distributions. / Park, Sangun; Park, Jiwhan.

In: Communications in Statistics - Theory and Methods, Vol. 47, No. 4, 16.02.2018, p. 767-778.

Research output: Contribution to journalArticle

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