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Journal of Failure Analysis and Prevention
Erschienen in: Journal of Failure Analysis and Prevention 5/2017

01.10.2017 | Technical Article---Peer-Reviewed

A New Class of Topp–Leone Power Series Distributions with Reliability Application

verfasst von: Rasool Roozegar, Saralees Nadarajah

Erschienen in: Journal of Failure Analysis and Prevention | Ausgabe 5/2017

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Abstract

Okasha et al. (J Failure Anal Prevention, 2017. doi:10.​1007/​s11668-017-0263-x) introduced the novel Topp–Leone geometric distribution. Here, we introduce a class of distributions containing [32]’s distribution as a particular case. The class of distributions contains several important distributions, including the Topp–Leone geometric, Topp–Leone Poisson, Topp–Leone logarithmic, Topp–Leone binomial and Topp–Leone negative binomial distributions. We derive comprehensive mathematical properties of the class. We obtain closed form expressions for the density function, cumulative distribution function, survival and hazard rate functions, moments, mean residual lifetime, mean past lifetime, order statistics and moments of order statistics. The class is shown to be more flexible by reanalyzing the real data set in [32].
Vorheriger Artikel Finite Element Analysis of an Aircraft Wing Leading Edge Made of GLARE Material for Structural Integrity
Nächster Artikel Root Cause Failure Analysis of Corrosion in Wet Gas Piping

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Metadaten
Titel
A New Class of Topp–Leone Power Series Distributions with Reliability Application
verfasst von
Rasool Roozegar
Saralees Nadarajah
Publikationsdatum
01.10.2017
Verlag
Springer US
Erschienen in
Journal of Failure Analysis and Prevention / Ausgabe 5/2017
Print ISSN: 1547-7029
Elektronische ISSN: 1864-1245
DOI
https://doi.org/10.1007/s11668-017-0329-9

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