TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

In this article, we generalize the exponentiated exponential distribution using the quadratic rank transmutation map studied by Shaw etal. [6] to develop a transmuted exponentiated exponential distribution. Theproperties of this distribution are derived and the estimation of the model parameters is discussed. An application to real data set are finally presented forillustration

Keywords:

Exponentiated exponential distribution, hazard rate function, reliability function parameter estimation,

PDF

___

Ahuja, J.C. and Nash, S.W., The generalized Gompertz-Verhulst family of distributions. Sankhya, (1967) 29, 141-161.
Aryal G.R. and Tsokos Ch., On the transmuted extreme value distribution with application. Nonlinear Analysis: Theory, Methods and Applications, (2009) 71: 1401 1407.
Aryal G.R., Tsokos Ch. P., Transmuted Weibull Distribution: A Generalization of the Weibull probability distribution,Europian journal of pure and applied mathemtics (2011) Vol. 4, No. 2, 89- 102.
Gupta, R.D. and Kundu, D., Generalized exponential distributions, Australian and New Zealand Journal of Statistics, (1999) vol. 41, 173 - 188,
Gupta R. D., Kundu D., Exponentiated Exponential Family: An Alternative to Gamma and Weibull Distributions, Biometrical Journal (2001) 43 1, 117 130 .
Shaw, W. T., Buckley, I. R. The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. arXiv preprint arXiv:0901.0434.(2009)
Smith, R. L. and Naylor, J. C., A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution, Applied Statistics, (1987) 36, pp. 358-369.
Department of Mathematics, University of Prishtina, Prishtin¨e, 10000, Kosovo
E-mail address: fmerovci@yahoo.com