Authors :
Barinaadaa John Nwikpe; Elli Innocent Cleopas
Volume/Issue :
Volume 8 - 2023, Issue 6 - June
Google Scholar :
https://bit.ly/3TmGbDi
Scribd :
https://tinyurl.com/mr3zxby5
DOI :
https://doi.org/10.5281/zenodo.8208128
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.
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.
