Exp-Kumaraswamy Distributions: Some Properties and Applications

Authors

  • A. Habibi Rad Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Islamic Republic of Iran
  • N.R. Arghami Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Islamic Republic of Iran
  • Z. Javanshiri Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Islamic Republic of Iran
Abstract:

In this paper, we propose and study exp-kumaraswamy distribution. Some of its properties  are derived, including the density function, hazard rate function, quantile function, moments,  skewness  and kurtosis.   Adata set isused to illustrate an application of the proposed distribution. Also, we obtain a new distribution by transformation onexp-kumaraswamy distribution.   New distribution is an alternative to skew-normal distribution. Basic properties ofthis new distribution, such as moment generating function, moments, skewness, kurtosis and maximum likelihood estimation are studied. Its applicability is illustrated by means of two real data sets.

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Journal title

volume 26  issue 1

pages  57- 69

publication date 2015-03-01

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