A new modified Weibull distribution

Saad Al-Malki; Saad J. Almalki; Jingsong Yuan

doi:10.1016/j.ress.2012.10.018

A new modified Weibull distribution

Saad Al-Malki, Saad J. Almalki, Jingsong Yuan

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new lifetime distribution by considering a serial system with one component following a Weibull distribution and another following a modified Weibull distribution. We study its mathematical properties including moments and order statistics. The estimation of parameters by maximum likelihood is discussed. We demonstrate that the proposed distribution fits two well-known data sets better than other modified Weibull distributions including the latest beta modified Weibull distribution. The model can be simplified by fixing one of the parameters and it still provides a better fit than existing models. © 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	164-170
Number of pages	6
Journal	Reliability Engineering and System Safety
Volume	111
DOIs	https://doi.org/10.1016/j.ress.2012.10.018
Publication status	Published - 2013

Keywords

Additive Weibull
Maximum likelihood estimation
Modified Weibull
Weibull distribution

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10.1016/j.ress.2012.10.018

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title = "A new modified Weibull distribution",

abstract = "We introduce a new lifetime distribution by considering a serial system with one component following a Weibull distribution and another following a modified Weibull distribution. We study its mathematical properties including moments and order statistics. The estimation of parameters by maximum likelihood is discussed. We demonstrate that the proposed distribution fits two well-known data sets better than other modified Weibull distributions including the latest beta modified Weibull distribution. The model can be simplified by fixing one of the parameters and it still provides a better fit than existing models. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

keywords = "Additive Weibull, Maximum likelihood estimation, Modified Weibull, Weibull distribution",

author = "Saad Al-Malki and Almalki, {Saad J.} and Jingsong Yuan",

year = "2013",

doi = "10.1016/j.ress.2012.10.018",

language = "English",

volume = "111",

pages = "164--170",

journal = "Reliability Engineering and System Safety",

issn = "0951-8320",

publisher = "Elsevier BV",

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T1 - A new modified Weibull distribution

AU - Al-Malki, Saad

AU - Almalki, Saad J.

AU - Yuan, Jingsong

PY - 2013

Y1 - 2013

N2 - We introduce a new lifetime distribution by considering a serial system with one component following a Weibull distribution and another following a modified Weibull distribution. We study its mathematical properties including moments and order statistics. The estimation of parameters by maximum likelihood is discussed. We demonstrate that the proposed distribution fits two well-known data sets better than other modified Weibull distributions including the latest beta modified Weibull distribution. The model can be simplified by fixing one of the parameters and it still provides a better fit than existing models. © 2012 Elsevier Ltd. All rights reserved.

AB - We introduce a new lifetime distribution by considering a serial system with one component following a Weibull distribution and another following a modified Weibull distribution. We study its mathematical properties including moments and order statistics. The estimation of parameters by maximum likelihood is discussed. We demonstrate that the proposed distribution fits two well-known data sets better than other modified Weibull distributions including the latest beta modified Weibull distribution. The model can be simplified by fixing one of the parameters and it still provides a better fit than existing models. © 2012 Elsevier Ltd. All rights reserved.

KW - Additive Weibull

KW - Maximum likelihood estimation

KW - Modified Weibull

KW - Weibull distribution

U2 - 10.1016/j.ress.2012.10.018

DO - 10.1016/j.ress.2012.10.018

M3 - Article

SN - 0951-8320

VL - 111

SP - 164

EP - 170

JO - Reliability Engineering and System Safety

JF - Reliability Engineering and System Safety

ER -

A new modified Weibull distribution

Abstract

Keywords

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