Half Logistic Odd Weibull-Topp-Leone-G Family of Distributions: Model, Properties and Applications

Abstract

A new flexible and versatile generalized family of distributions, namely, half logistic odd Weibull-Topp-Leone-G (HLOW-TL-G) distribution is presented. The distribution can be traced back to the exponentiated-G distribution. We derive the statistical properties of the proposed family of distributions. Maximum likelihood estimates of the HLOW-TL-G family of distributions are also presented. Five special cases of the proposed family are presented. A simulation study and real data applications on one of the special cases are also presented

Marshall-Olkin-Odd Power Generalized Weibull-G Family of Distributions with Applications of COVID-19 Data

“…. , 𝑋 are independent and identically distributed (i.i.d) random variables distributed according to (6). The pdf of the 𝑖 order statistic 𝑋 : , is given by…”

“…The model with the smallest values of the goodness-of-fit statistics and a bigger pvalue for the K-S statistic is regarded as the best model. We compare the MO-OPGW-LLoG distribution to several models, namely, Marshall-Olkininverse Weibull (MO-IW) by Pakungwati et al [26], Marshall-Olkin-log-logistic-LLoG (MO-LLoG) by Wenhao [31], Topp-Leone-Marshall-Olkin-Log-logistic (TL-MO-LLoG) and Topp-Leone-Marshall-Olkin-Weibull (TL-MO-W) by Chipepa et al [7], odd exponentiated half-logistic Burr XII (OEHL-BXII) by Aldahlan and Afify [1] and odd generalized half logistic Weibull-Weibull (OGHLW-W) distribution by Chipepa et al [6].…”

The Marshall-Olkin-Gompertz-G family of distributions: properties and applications

“…We compare the MO-Gom-W distribution to the following models: Gompertz distribution by Gompertz [19], generalized Gompertz (G-Gom) distribution by El-Gohary at al. [16], Marshall-Olkin loglogistic (MO-LLoG) distribution by Wenhao [20], Marshall-Olkin extended inverse Weibull (MO-IW) by Pakungwati et al [27], Marshall-Olkin extended Weibull (MO-EW) by Barreto-Souza and Baukoch [4], exponentiated half logistic odd Weibull-Topp-Leone-log logistic (EHLOW-TL-LLoG) by Chipepa et al [11], odd generalized half logistic Weibull-Weibull (OGHLW-W) by Chipepa et al [8], Kumaraswamy Weibull (KwW) by Cordeiro et al [15], the exponential Lindley odd log-logistic Weibull (ELOLLW) by Korkmaz et al [25], Kumaraswamy odd Lindley-log logistic (KOL-LLoG) by Chipepa et al [10] and beta odd Lindley-exponential (BOL-E) by Chipepa et al [9]. The pdfs of the non-nested models are…”

The odd Weibull-Topp-Leone-G power series family of distributions: model, properties, and applications

“…Some generalizations of the Topp-Leone distribution includes the Topp-Leone-G family by [5], Topp-Leone generated Weibull distribution by [6], transmuted Topp-Leone Weibull lifetime distribution [20], Topp-Leone generalized inverted exponential distribution [4] and Topp-Leone-Marshall-Olkin-G by [11]. Odd generalized families includes the odd Lindley-G distribution by [16], odd generalized half logistic Weibull-G by [10], odd log-logistic Lindley-G by [3], odd exponentiated half logistic Burr XII distribution by [2], to mention a few.…”

“…Recently, [8] developed a new family of distributions called the odd Weibull-Topp-Leone-G (OW-TL-G) family of distributions using the generalized Weibull family by [18] and the Topp-Leone-G distribution. The generalized Weibull family distribution have cumulative distribution function (cdf) and probability density function (pdf) given by G(x; ξ) = 1 − exp[−αH(x, ξ)] (1.1) and g(x; ξ) = α exp[−αH(x; ξ)]h(x; ξ), respectively for a parameter vector ξ.…”