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

Broderick Oluyede; Thatayaone Moakofi; Fastel Chipepa

doi:10.21307/stattrans-2022-006

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

Broderick Oluyede Botswana International University of Science and Technology, Botswana ORCID:https://orcid.org/0000-0002-9945-2255 , Thatayaone Moakofi Botswana International University of Science and Technology, Botswana ORCID:https://orcid.org/0000-0002-2676-7694 , Fastel Chipepa Botswana International University of Science and Technology, Botswana ORCID:https://orcid.org/0000-0001-6854-8740 Statistics in Transition new series, vol. 23, 2022, 1, pages: 89-108 Published online: 15 March 2022 DOI 10.21307/stattrans-2022-006 Citation: Oluyede B., Moako T., Chipepa F., (2022). The odd power generalized Weibull-G power series class of distributions: properties and applications, Statistics in Transition new series, 23(1), pp. 89–108. https://doi.org/10.21307/stattrans-2022-006

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ABSTRACT

We develop a new class of distributions, namely, the odd power generalizedWeibull-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.

KEYWORDS

Weibull-g distribution, power series, Poisson distribution, logarithmic distribution, maximum likelihood estimation

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