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

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dc.creator Marthin, Pius
dc.creator Rao, Gadde Srinivasa 2021-05-05T10:39:13Z 2021-05-05T10:39:13Z 2020 2021-05-06T13:00:49Z 2021-05-06T13:00:49Z
dc.identifier Marthin, P., & Rao, G. S. (2020). Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data. Journal of Mathematics, 2020.
dc.identifier DOI: 10.1155/2020/2049501
dc.description Full text articles. Also available at
dc.description In 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.language en
dc.publisher HINDAWI
dc.subject Generalized Weibull–Lindley
dc.subject GWL
dc.subject Lifetime data
dc.subject Lifetime distribution
dc.subject Generalized Weibull–Lindley distribution
dc.subject Probability Density Function
dc.subject Modeling data
dc.subject Lindley distribution
dc.subject Weibull–Lindley
dc.title Generalized Weibull–Lindley (GWL) distribution in modeling lifetime data
dc.type Article

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