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\begin{document}

\title{The Generalized Alpha Power Exponentiated Inverse Exponential
distribution and it's application to real data}



\author[1]{Moses Kargbo}%
\author[2]{Anthony Waititu}%
\author[2]{Anthony Wanjoya}%
\affil[1]{Pan African University Institute for Basic Sciences Technology and Innovation}%
\affil[2]{Jomo Kenyatta University of Agriculture and Technology}%


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  \date{June 16, 2024}


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\begin{abstract}
This paper proposes a new distribution named ``The Generalized Alpha
Power Exponentiated Inverse Exponential (GAPEIEx for short)
distribution'' with four parameters, from which one (1) scale and three
(3) shape parameters and the statistical properties such as Survival
function, Hazard function, Quantile function, r\^{}(th) Moment, R\selectlanguage{ngerman}ényi
Entropy, and Order Statistics of the new distribution are derived. The
method of maximum likelihood estimation (MLE) is used to estimate the
parameters of the distribution. The performance of the estimators is
assessed through simulation, which shows that the maximum likelihood
method works well in estimating the parameters. The GAPEIEx distribution
was applied to simulated and real data in order to access the
flexibility and adaptability of the distribution, and it happens to
perform better than its submodels.%
\end{abstract}\selectlanguage{ngerman}%



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\textbf{Hosted file}

\verb`moses_manuscript.tex`  available at \url{https://authorea.com/users/640156/articles/655162-the-generalized-alpha-power-exponentiated-inverse-exponential-distribution-and-it-s-application-to-real-data}

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