%0 Journal Article
%T Beta-Exponentiated Ishita Distribution and Its Applications
%A Samuel Ugochukwu Enogwe
%A Gabriel Chuwukwuemeka Ibeh
%J Open Journal of Statistics
%P 690-712
%@ 2161-7198
%D 2021
%I Scientific Research Publishing
%R 10.4236/ojs.2021.115041
%X This article develops a
beta-exponentiated Ishita distribution that extends the exponentiated Ishita
distribution. Expansions for the cumulative distribution and probability
density functions are given. Various properties of the new distribution such as
hazard function, moments, cumulants, skewness, kurtosis, mean deviations,
Bonferroni and Lorenz curves, R¨¦nyi and Tsallis entropies, and stress-strength
reliability are discussed. Moment generating function and characteristic
function of the new model were derived. Distribution and the moment of order
statistic have been derived. The method of maximum likelihood was used for
estimation of parameters. The new model is quite flexible in analysing
positively skewed data. Two real datasets are used to demonstrate the
flexibility of the new distribution.
%K Ishita Distribution
%K Hazard Function
%K Moments
%K Cumulants
%K Skewness
%K Kurtosis
%K Mean Deviation
%K Maximum Likelihood Estimation
%K Stress-Strength Reliability
%K Order Statistics
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=112352