The Modi Exponentiated Exponential Distribution - Journal of Data Analysis and Information Processing

JDAIP > Vol.11 No.4, November 2023

Journal of Data Analysis and Information Processing

Volume 11, Issue 4 (November 2023)

ISSN Print: 2327-7211 ISSN Online: 2327-7203

Google-based Impact Factor: 1.59 Citations

The Modi Exponentiated Exponential Distribution ()

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Download as PDF (Size: 2932KB) PP. 341-359

DOI: 10.4236/jdaip.2023.114017 95 Downloads 474 Views

Author(s)

Antoine Dieudonné Ndayisaba^1*, Leo Odiwuor Odongo², Anthony Ngunyi³

Affiliation(s)

¹Department of Mathematics, Pan African University Institute for Basic Sciences, Technology and Innovation (PAUSTI), Nairobi, Kenya.
²Department of Mathematics and Actuarial Science, Kenyatta University (KU), Nairobi, Kenya.
³Department of Mathematics, Statistics and Actuarial Sciences, Dedan Kimathi University of Technology (De KUT), Nairobi, Kenya.

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.

KEYWORDS

Modi Family, Exponentiated Exponential Distribution, Maximum Likelihood Estimation, Order Statistics, Moments, Quantile Function

Share and Cite:

Ndayisaba, A. , Odongo, L. and Ngunyi, A. (2023) The Modi Exponentiated Exponential Distribution. Journal of Data Analysis and Information Processing, 11, 341-359. doi: 10.4236/jdaip.2023.114017.

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