The Maxwell – Exponential Distribution: Theory and Application to Lifetime Data

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Usman Aliyu Abdullahi
Ahmad Abubakar Suleiman
Aliyu Ismail Ishaq
Abubakar Usman
Aminu Suleiman

Abstract

Two parameters Maxwell – Exponential distribution was proposed using the Maxwell generalized family of distribution. The probability density function, cumulative distribution function, survival function, hazard function, quantile function, and statistical properties of the proposed distribution are discussed. The parameters of the proposed distribution have been estimated using the maximum likelihood estimation method. The potentiality of the estimators was shown using a simulation study. The overall assessment of the performance of Maxwell - Exponential distribution was determined by using two real-life datasets. Our findings reveal that the Maxwell – Exponential distribution is more flexible compared to other competing distributions as it has the least value of information criteria.

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How to Cite
Usman Aliyu Abdullahi, Ahmad Abubakar Suleiman, Aliyu Ismail Ishaq, Abubakar Usman, & Aminu Suleiman. (2021). The Maxwell – Exponential Distribution: Theory and Application to Lifetime Data. Journal of Statistical Modeling &Amp; Analytics (JOSMA), 3(2). Retrieved from https://mjlis.um.edu.my/index.php/JOSMA/article/view/32365
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