Üstel ve Weibull Dağılımlarının Bir Genişletmesi Üzerine

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.

Anahtar Kelimeler:

Sağkalım fonksiyonu, üstel, Weibull ve Poisson dağılımları

On an Extension of the Exponential and Weibull Distributions*

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 aregiven.

Keywords:

Survival function, exponential, Weibull and Poisson distributions,

PDF

___

[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.