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Üstel ve Weibull Dağılımlarının Bir Genişletmesi Üzerine

Year 2010, Volume: 5 Issue: 1, 137 - 146, 27.06.2010

Abstract

Bu çalışmada Poisson dağılımı, üstel ve Weibull dağılımlarına yeni bir parametre eklenmesi amacıyla kullanılmış ve yeni genişletilen dağılımların sağkalım fonksiyonuna ilişkin bazı sonuçlara yer verilmiştir.

References

  • [1] Marshall A.W., Olkin I., 1997. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika, 84 (3): 641-652.
  • [2] Masry E., 1978. Poisson sampling and spectral estimation of continuous time processes, IEEE Transactions on Inormation Theory, 24 (2): 173-191.
  • [3] Cox D.R., Oakes D., 1990. Analysis of survival data, Chapman and Hall, London, United Kingdom, p. 203.
  • [4] Aly E.E.A.A., Bouzar N., 2000. On geometric infinite divisibility and stability, Annals of the Institute of Statistical Mathematic, 52 (4): 790-799.
  • [5] Barlow R.E., Proschan F., 1981. Statistical theory of reliability and life testing, Silver Spring, Maryland, USA, p. 290.
  • [6] Abramowitz M., Stegun I.A., 1972. Bernoulli and Euler Polynomials-Riemann Zeta Function, pp. 803-808, In: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, (Eds.: Haynsworth E.V. & Goldberg K.), Dover, New York, USA, p. 1047.
  • [7] Titchmarsh E.C., Heath-brown D.R., 1986. The theory of the Riemann zeta-function, 2nd edition, Oxford University Press, New York, USA, p. 412.

On an Extension of the Exponential and Weibull Distributions*

Year 2010, Volume: 5 Issue: 1, 137 - 146, 27.06.2010

Abstract

In this study, the Poisson distribution is used to add a new parameter to the exponential and Weibull distributions, and some results on survival distributions of the new extended distributions are
given.

References

  • [1] Marshall A.W., Olkin I., 1997. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika, 84 (3): 641-652.
  • [2] Masry E., 1978. Poisson sampling and spectral estimation of continuous time processes, IEEE Transactions on Inormation Theory, 24 (2): 173-191.
  • [3] Cox D.R., Oakes D., 1990. Analysis of survival data, Chapman and Hall, London, United Kingdom, p. 203.
  • [4] Aly E.E.A.A., Bouzar N., 2000. On geometric infinite divisibility and stability, Annals of the Institute of Statistical Mathematic, 52 (4): 790-799.
  • [5] Barlow R.E., Proschan F., 1981. Statistical theory of reliability and life testing, Silver Spring, Maryland, USA, p. 290.
  • [6] Abramowitz M., Stegun I.A., 1972. Bernoulli and Euler Polynomials-Riemann Zeta Function, pp. 803-808, In: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, (Eds.: Haynsworth E.V. & Goldberg K.), Dover, New York, USA, p. 1047.
  • [7] Titchmarsh E.C., Heath-brown D.R., 1986. The theory of the Riemann zeta-function, 2nd edition, Oxford University Press, New York, USA, p. 412.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Makaleler
Authors

Salih Çelebioğlu

Publication Date June 27, 2010
Published in Issue Year 2010 Volume: 5 Issue: 1

Cite

IEEE S. Çelebioğlu, “On an Extension of the Exponential and Weibull Distributions*”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 5, no. 1, pp. 137–146, 2010.