A new family of distributions based on probability generating functions

DOI10.1007/S13571-011-0017-9zbMath1226.60019OpenAlexW2066364294MaRDI QIDQ641800

Emad-Eldin A. A. Aly, Lakdere Benkherouf

Publication date: 25 October 2011

Published in: Sankhyā. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13571-011-0017-9

zbMATH Keywords

probability generating functionHarris distributionsMarshall and Olkin distributions

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Related Items (14)

On a generalization of the Weibull distribution and its application in quality control ⋮ The Harris Extended Exponential Distribution ⋮ On the Harris extended family of distributions ⋮ Some bounds related to Harris family of distributions ⋮ On the Harris-G class of distributions: general results and application ⋮ Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions ⋮ Toward the establishment of a family of distributions that may fit any dataset ⋮ Ordering Results for Aggregate Claim Amounts from Two Heterogeneous Marshall--Olkin Extended Exponential Portfolios and Their Applications in Insurance Analysis ⋮ Some new results on aggregate claim amounts from two heterogeneous Marshall–Olkin extended exponential portfolios ⋮ Modified proportional hazard rates and proportional reversed hazard rates models via Marshall-Olkin distribution and some stochastic comparisons ⋮ Reliability test plans for percentiles based on the Harris generalized linear exponential distribution ⋮ A new useful three-parameter extension of the exponential distribution ⋮ THE GAUSS HYPERGEOMETRIC FAMILY OF DISTRIBUTIONS ⋮ Unnamed Item

Cites Work

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• A new lifetime distribution
• Marshall–Olkin extended weibull distribution and its application to censored data
• A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
• Marshall–Olkin Extended Lomax Distribution and Its Application to Censored Data
• Branching Processes

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