Some new and generalized distributions for reliability and lifetime data analysis

Abstract:

New distributions namely, Lindley-Weibull Power Series (LWPS) class of

distributions and the special case called Lindley-Weibull logarithmic (LWL)

distribution, a new gamma generalized Lindley log-logistic (GELLLoG)

distribution, Marshall-Olkin Lindley log-logistic (MOLLLoG) distribution and

half logistic log-logistic Weibull (HLLLoGW) distribution and their sub-models

are presented. Structural properties including hazard and reverse hazard

functions, quantile function, moments, conditional moments, mean deviations,

Bonferroni and Lorenz curves, Renyi entropy, distribution of order statistics ´

and maximum likelihood estimates of the above proposed distributions are

presented. Applications of the presented models to real data sets are given in

order to illustrate the applicability and usefulness of the proposed distributions.

These distributions were also compared to some non-nested models.

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APA

Thatayaone, M (2024). Some new and generalized distributions for reliability and lifetime data analysis. Afribary. Retrieved from https://afribary.com/works/some-new-and-generalized-distributions-for-reliability-and-lifetime-data-analysis

MLA 8th

Thatayaone, Moakofi "Some new and generalized distributions for reliability and lifetime data analysis" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/some-new-and-generalized-distributions-for-reliability-and-lifetime-data-analysis. Accessed 26 May. 2024.

MLA7

Thatayaone, Moakofi . "Some new and generalized distributions for reliability and lifetime data analysis". Afribary, Afribary, 30 Mar. 2024. Web. 26 May. 2024. < https://afribary.com/works/some-new-and-generalized-distributions-for-reliability-and-lifetime-data-analysis >.

Chicago

Thatayaone, Moakofi . "Some new and generalized distributions for reliability and lifetime data analysis" Afribary (2024). Accessed May 26, 2024. https://afribary.com/works/some-new-and-generalized-distributions-for-reliability-and-lifetime-data-analysis