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, Rényi 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.
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