Generalized Weibull–Lindley (GWL) distribution in modeling lifetime data

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dc.creatorMarthin, Pius
dc.creatorRao, Gadde Srinivasa
dc.date2021-05-05T10:39:13Z
dc.date2021-05-05T10:39:13Z
dc.date2020
dc.date.accessioned2022-10-20T13:25:33Z
dc.date.available2022-10-20T13:25:33Z
dc.descriptionFull text articles. Also available at https://doi.org/10.1155/2020/2049501
dc.descriptionIn this manuscript, we have derived a new lifetime distribution named generalized Weibull–Lindley (GWL) distribution based on the T-X family of distribution specifically the generalized Weibull-X family of distribution. We derived and investigated the shapes of its probability density function (pdf), hazard rate function, and survival function. Some statistical properties such as quantile function, mode, median, order statistics, Shannon entropy, Galton skewness, and Moors kurtosis have been derived. Parameter estimation was done through maximum likelihood estimation (MLE) method. Monte Carlo simulation was conducted to check the performance of the parameter estimates. For the inference purpose, two real-life datasets were applied and generalized Weibull–Lindley (GWL) distribution appeared to be superior over its competitors including Lindley dis-tribution, Akash distribution, new Weibull-F distribution, Weibull–Lindley (WL) distribution, and two-parameter Lindley(TPL) distribution.
dc.identifierMarthin, P., & Rao, G. S. (2020). Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data. Journal of Mathematics, 2020.
dc.identifierDOI: 10.1155/2020/2049501
dc.identifierhttp://hdl.handle.net/20.500.12661/2948
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2948
dc.languageen
dc.publisherHINDAWI
dc.subjectGeneralized Weibull–Lindley
dc.subjectGWL
dc.subjectLifetime data
dc.subjectLifetime distribution
dc.subjectGeneralized Weibull–Lindley distribution
dc.subjectProbability Density Function
dc.subjectModeling data
dc.subjectLindley distribution
dc.subjectWeibull–Lindley
dc.titleGeneralized Weibull–Lindley (GWL) distribution in modeling lifetime data
dc.typeArticle

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