24Jul 2017

EXPONENTIATED MOMENT EXPONENTIAL DISTRIBUTION AND POWER SERIES DISTRIBUTION WITH APPLICATIONS: A NEW COMPOUND FAMILY.

  • Department of Statistics, Govt. College Satellite Town Gujranwala.
  • Department of Statistics, Garrison University, Lahore.
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This article introduces a new family of lifetime distributions called the exponentiated moment exponential power series (EMEPS) which generalizes the moment exponential power series (MEPS) proposed by Sadaf (2013). This new family is obtained by compounding the exponentiated moment exponential and truncated power series distributions, where the compounding procedure follows same way that was previously carried out by Adamidis and Loukas (1998). The new family contains some new distributions such as exponentiated moment exponential geometric distribution, exponentiated moment exponential Poisson distribution, exponentiated moment exponential logarithmic distribution and exponentiated moment exponential binomial distribution. Some former works derived by Sadaf 2014 such as moment exponential geometric and moment exponential Poisson distributions are special cases of the new EMEPS family. We obtain several properties of EMEPS family, among them; quantile function, order statistics, moments and entropy. Some special models in the exponentiated moment exponential power series family of distributions are provided. Maximum likelihood (ML) method is applied to obtain parameter estimates of the EMEPS family. A simulation study is carried out to check the consistency of the ML estimators of the parameters. Two real data sets are used to validate the distributions and the results demonstrate that the sub-models from the family can be considered as suitable models under several real situations.

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[Zafar Iqbal, Muhammad Wasim and Naureen Riaz. (2017); EXPONENTIATED MOMENT EXPONENTIAL DISTRIBUTION AND POWER SERIES DISTRIBUTION WITH APPLICATIONS: A NEW COMPOUND FAMILY. Int. J. of Adv. Res. 5 (Jul). 1335-1355] (ISSN 2320-5407). www.journalijar.com

Dr. Zafar Iqbal
Associate Professor (Statistics), Government Postgraduate College, Gujranwala, Pakistan.

DOI:

Article DOI: 10.21474/IJAR01/4844      
DOI URL: http://dx.doi.org/10.21474/IJAR01/4844

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