Abstract
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
References
- 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
Abstract
References
- 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
Details
| Primary Language | English |
|---|---|
| Authors | |
| Submission Date | March 9, 2015 |
| Publication Date | December 1, 2013 |
| Published in Issue | Year 2013 Volume: 1 Issue: 2 |
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