A lifetime distribution motivated by parallel and series structures

M. Goldoust; S. Rezaei; Y. Si; S. Nadarajah

doi:10.1080/03610926.2017.1346802

A lifetime distribution motivated by parallel and series structures

M. Goldoust, S. Rezaei^*, Y. Si, S. Nadarajah

^*Corresponding author for this work

Amir Kabir University of Technology

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

Abstract

A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Communications in Statistics - Theory and Methods
Early online date	5 Jul 2017
DOIs	https://doi.org/10.1080/03610926.2017.1346802
Publication status	Published - 2017

Keywords

Estimation
Exponential distribution
Geometric distribution
Power series distribution.

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10.1080/03610926.2017.1346802

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title = "A lifetime distribution motivated by parallel and series structures",

abstract = "A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.",

keywords = "Estimation, Exponential distribution, Geometric distribution, Power series distribution.",

author = "M. Goldoust and S. Rezaei and Y. Si and S. Nadarajah",

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AU - Rezaei, S.

AU - Si, Y.

AU - Nadarajah, S.

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N2 - A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.

AB - A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.

KW - Estimation

KW - Exponential distribution

KW - Geometric distribution

KW - Power series distribution.

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DO - 10.1080/03610926.2017.1346802

M3 - Article

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JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

ER -

A lifetime distribution motivated by parallel and series structures

Abstract

Keywords

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