Quadratic Rank Transmutation of the Nwikpe Distribution

Barinaadaa John Nwikpe; Elli Innocent Cleopas1

1

Publication Date: 2023/07/03

Abstract: In this paper, we proposed the generalization of the Nwikpe distribution using quadratic rank transmutation. Thus, a new two parameter continuous probability distribution, named the transmuted Nwikpe (TND) distribution was obtained. Some important statistical properties such as the shape of its density for different values of the parameter, the moment generating function, the crude moment and the distribution of its order statistics were derived. The parameter of the new distribution was estimated using maximum likelihood method. The flexibility of the new distribution was shown using a real-life data set. The goodness of fit shows that the TND performed better than the base distribution and other competing distributions for the data sets used in this work.

Keywords: Quadratic Rank Transmutation, Nwikpe Distribution, Maximum Likelihood, Moment, Crude Moment.

DOI: https://doi.org/10.5281/zenodo.8208128

PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23JUN276.pdf

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