Five and four-parameter lifetime distributions for bathtub-shaped failure rate using Perks mortality equation
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- 作者：Hongtao Zenga ; htzeng@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Tian Lanb ; lantian@tamu.edu" class="auth_mail" title="E-mail the corresponding author ; Qiming Chenc ; qmchen@ieee.org" class="auth_mail" title="E-mail the corresponding author
- 关键词：CDF ; cumulative distribution function ; HRF ; hazard-rate function ; MLE ; maximum likelihood estimation ; PDF ; probability density function ; Perks4 ; probability distribution derived from 4-parameter Perks hazard rate function ; Perks5 ; probability distribution derived from 5-parameter Perks hazard rate function
- 刊名：Reliability Engineering & System Safety
- 出版年：2016
- 出版时间：August 2016
- 年：2016
- 卷：152
- 期：Complete
- 页码：307-315
- 全文大小：2206 K
文摘
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Two new distributions are proposed to model bathtub shaped hazard rate.
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Derive the close-form PDF, CDF and feature of scalability and truncatability.
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Perks4 is verified to be good to model common bathtub shapes through comparison.
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Perks5 has the potential to model the stabilization of hazard rate at later life.
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