A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA


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ÜNAL C., ÖZEL G.

Mugla Journal of Science and Technology, cilt.8, sa.2, ss.9-15, 2022 (Hakemli Dergi) identifier

Özet

In literature, Alzaatreh et al. [10] proposed the generalized Weibull-X family of distribution in their study. Based on this study, we introduce a new Weibull-Lindley (NWL) distribution in this study. The pdf (probability density function), distribution, survival functions, hazard rate and cumulative hazard functions are derived and investigated. Besides, many mathematical properties including mode, quantile function, median, Shannon entropy, skewness, kurtosis, and order statistics are also derived. According to the maximum likelihood method, the estimation of parameters is done. In application part, we use real data sets. According to results, our proposed NWL distribution is superior comparison with the Akash, Lindley, New Weibull-F, two-parameter Lindley (TPL), and Weibull-Lindley (WL) distributions.