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TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION

Yıl 2013, Cilt: 1 Sayı: 2, 112 - 122, 01.12.2013

Öz

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

Kaynakça

  • 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
Yıl 2013, Cilt: 1 Sayı: 2, 112 - 122, 01.12.2013

Öz

Kaynakça

  • 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
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Faton Merovcı Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2013
Gönderilme Tarihi 9 Mart 2015
Yayımlandığı Sayı Yıl 2013 Cilt: 1 Sayı: 2

Kaynak Göster

APA Merovcı, F. (2013). TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION. Mathematical Sciences and Applications E-Notes, 1(2), 112-122.
AMA Merovcı F. TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION. Math. Sci. Appl. E-Notes. Aralık 2013;1(2):112-122.
Chicago Merovcı, Faton. “TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION”. Mathematical Sciences and Applications E-Notes 1, sy. 2 (Aralık 2013): 112-22.
EndNote Merovcı F (01 Aralık 2013) TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION. Mathematical Sciences and Applications E-Notes 1 2 112–122.
IEEE F. Merovcı, “TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION”, Math. Sci. Appl. E-Notes, c. 1, sy. 2, ss. 112–122, 2013.
ISNAD Merovcı, Faton. “TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION”. Mathematical Sciences and Applications E-Notes 1/2 (Aralık 2013), 112-122.
JAMA Merovcı F. TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION. Math. Sci. Appl. E-Notes. 2013;1:112–122.
MLA Merovcı, Faton. “TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION”. Mathematical Sciences and Applications E-Notes, c. 1, sy. 2, 2013, ss. 112-2.
Vancouver Merovcı F. TRANSMUTED EXPONENTIATED EXPONENTIAL DISTRIBUTION. Math. Sci. Appl. E-Notes. 2013;1(2):112-2.

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