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An extension of the exponential distribution
Authors:Saralees Nadarajah  Firoozeh Haghighi
Affiliation:1. School of Mathematics , University of Manchester , Manchester, M13 9PL, UK mbbsssn2@manchester.ac.uk;3. Department of Mathematics, Statistics and Computer Sciences , University of Tehran , Tehran, Iran
Abstract:A generalization of the exponential distribution is presented. The generalization always has its mode at zero and yet allows for increasing, decreasing and constant hazard rates. It can be used as an alternative to the gamma, Weibull and exponentiated exponential distributions. A comprehensive account of the mathematical properties of the generalization is presented. A real data example is discussed to illustrate its applicability.
Keywords:exponential distribution  exponentiated exponential distribution  gamma distribution  hazard rate function  moments  Weibull distribution
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