The odd power generalized Weibull-G power series class of distributions: properties and applications

Abstract

We develop a new class of distributions, namely, the odd power generalized Weibull-G power series (OPGW-GPS) class of distributions. We present some special classes of the proposed distribution. Structural properties, have also been derived. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. Moreover, two real data examples on selected data sets, to illustrate the usefulness of the new class of distributions. The proposed model outperforms several non-nested models on selected data sets.

The type II exponentiated half logistic-odd Burr X-G power series class of distributions with applications

“…The TII-EHL-OBX-LLoGP distribution was set in contrast to both nested and several non-nested equi-parameter distributions. The non-nested equi-parameter distributions considered are the generalized Gompertz-Poisson (GGP) distribution [39] , odd exponentiated half logistic Burr XII (OEHLBXII) distribution [2] , Topp-Leone generated Weibull (TLWP) distribution [21] , exponentiated Burr-XII Poisson (EBXIIP) distribution [12] , exponentiated half logistic odd Weibull-Topp-Leone-log-logistic (EHLOW-TL-LLoG) distribution [9] and odd power generalised Weibull-Weibull Poisson (OPGW-WP) distribution Oluyede et al [31] .…”

“…Simultaneously, researchers have explored power series (PS) distributions as alternative for data fitting. They include the type II-EHL-Topp-Leone-G PS class of distributions (CoD) [24] , EHL- Topp-Leone-G PS CoD introduced [10] , exponentiated-G PS CoD introduced by [29] , odd power generalised Weibull-Weibull Poisson CoD [31] , odd Lindely-G PS CoD [8] , exponentiated half-logistic power generalized Weibull-G FoD [27] , exponentiated power Lindely Poisson distribution [33] , Ristic Balakrishnan Lindely Poisson distribution [14] , odd Weibull-Topp-Leone-G PS CoD [26] , Topp-Leone-G PS CoD [21] , Burr XII Weibull Logarithmic distribution [28] , generalized Burr XII PS CoD [13] , Lindely Burr XII PS CoD [20] , T-R Y PS CoD [32] , inverse Lindley PS CoD [35] and exponentiated extended Weibull PS CoD [38] , to mention just a few.…”

On Topp-Leone-G Power Series: Saturation in the Hausdorff Sense and Applications

“…In practice, for a given data set, a reliable statistical model can be developed from an appropriate probability distribution. Over the last few years, many authors have derived new compounding distributions by mixing continuous distributions with power series distributions, such as the generalized modified Weibull power series [1], the Gompertz-power series [2], the Inverse Weibull power series [3], the Exponentiated Burr XII power series [4], the Exponentiated generalized power series family [5], the odd power generalized Weibull-G power series [6] and others. In 1950, Albert Noack [7] introduced the family of discrete univariate distributions evolving in power series, although the earliest work on this topic was written by Kosambi (1949) [8].…”