THE MODIFIED EXPONENTIAL DISTRIBUTION WITH APPLICATIONS | [Pakistan Journal of Statistics • 2017]

Author(s):

1. Mahdi Rasekhi: Department of Statistics, Malayer University,Iran

2. Morad Alizadeh: Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr, Iran

3. Emrah Altun: Department of Statistics, Hacettepe University,Turkey

4. G.G. Hamedani: Department of Math.‎, ‎Stat. & Computer Science, ‎Marquette University, USA

5. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance,Benha University, Egypt.

6. Munir Ahmad: National College of Business Administration and Economics,Lahore, Pakistan

Abstract:

In this article, we generalize the exponential distribution by compounding the extended exponential distribution (Gomez et al., 2014) and generalized exponential distribution (Gupta and Kundu, 2001) and call it modified exponential (ME) distribution. It includes as special submodels,Kumaraswamy exponential, generalized exponential and exponential distributions. We providea comprehensive description of the mathematical properties of the proposed distribution. Theestimation of the model parameters is performed by the maximum likelihood method. A simulation study is performed to assess the performance of the maximum likelihood estimators.The usefulness of the modified exponential distribution for modeling data is illustrated usingreal data set by comparison with some generalizations of the exponential distribution.

Page(s): 383-398

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 33, Issue: 5, Year: 2017

Keywords:

Maximum likelihood estimation , Reliability function , hazard rate function , NULLExponential distribution

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