The Marshall-Olkin extended Weibull family of distributions

DOI10.1186/2195-5832-1-9zbMath1338.60041OpenAlexW2155815867WikidataQ59321892 ScholiaQ59321892MaRDI QIDQ268365

Manoel Santos-Neto, Marcelo Bourguignon, Luz M. Zea, Gauss M. Cordeiro, Abraão David Costa do Nascimento

Publication date: 15 April 2016

Published in: Journal of Statistical Distributions and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2195-5832-1-9

zbMATH Keywords

maximum likelihood estimationsurvival functionextended Weibull distributionhazard rate functionMarshall-Olkin distribution

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Parametric hypothesis testing (62F03) Point estimation (62F10) Probability distributions: general theory (60E05)

Related Items (8)

A new class of defective models based on the Marshall-Olkin family of distributions for cure rate modeling ⋮ The Weibull Marshall–Olkin family: Regression model and application to censored data ⋮ q-Esscher transformed Laplace distribution ⋮ On Marshall-Olkin Burr X family of distribution ⋮ Compounding of distributions: a survey and new generalized classes ⋮ Marshall-Olkin Lindley-log-logistic distribution: model, properties and applications ⋮ On Burr III Marshal Olkin family: development, properties, characterizations and applications ⋮ The unit extended Weibull families of distributions and its applications

Uses Software

• Mathematica
• R
• Ox

Cites Work

• A Mathematical Theory of Communication
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• Using the Weibull Distribution
• The Graduation of Income Distributions
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• Analysis for the Linear Failure-Rate Life-Testing Distribution
• An exponential power life-testing distribution
• A guide to the Burr type XII distributions
• A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
• Commutative group algebras of $\sigma $-summable abelian groups
• Applications of Marshall–Olkin Fréchet Distribution
• General results for the Marshall and Olkin's family of distributions
• Marshall–Olkin Extended Lomax Distribution and Its Application to Censored Data
• RELIABILITY PROPERTIES OF EXTENDED LINEAR FAILURE-RATE DISTRIBUTIONS
• On Information and Sufficiency
• Business Failures: Another Example of the Analysis of Failure Data
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