TITLE:
The Modi Exponentiated Exponential Distribution
AUTHORS:
Antoine Dieudonné Ndayisaba, Leo Odiwuor Odongo, Anthony Ngunyi
KEYWORDS:
Modi Family, Exponentiated Exponential Distribution, Maximum Likelihood Estimation, Order Statistics, Moments, Quantile Function
JOURNAL NAME:
Journal of Data Analysis and Information Processing,
Vol.11 No.4,
September
19,
2023
ABSTRACT: In this study, a new four-parameter distribution called the Modi
Exponentiated Exponential distribution was proposed and studied. The new
distribution has three
shape and one scale parameters. Its
mathematical and statistical properties were investigated. The parameters of
the new model were estimated using the method of Maximum Likelihood Estimation.
Monte Carlo simulation was used to evaluate the performance of the MLEs through
average bias and RMSE. The flexibility and goodness-of-fit of the proposed distribution
were demonstrated by applying it to two real data sets and comparing it with
some existing distributions.