Research Article

On an Extension of the Exponential and Weibull Distributions*

Volume: 5 Number: 1 June 27, 2010
TR EN

On an Extension of the Exponential and Weibull Distributions*

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.

Keywords

References

  1. [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. [2] Masry E., 1978. Poisson sampling and spectral estimation of continuous time processes, IEEE Transactions on Inormation Theory, 24 (2): 173-191.
  3. [3] Cox D.R., Oakes D., 1990. Analysis of survival data, Chapman and Hall, London, United Kingdom, p. 203.
  4. [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. [5] Barlow R.E., Proschan F., 1981. Statistical theory of reliability and life testing, Silver Spring, Maryland, USA, p. 290.
  6. [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. [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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 27, 2010

Submission Date

June 27, 2010

Acceptance Date

-

Published in Issue

Year 2010 Volume: 5 Number: 1

APA
Çelebioğlu, S. (2010). On an Extension of the Exponential and Weibull Distributions*. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 5(1), 137-146. https://izlik.org/JA84HY28HM
AMA
1.Çelebioğlu S. On an Extension of the Exponential and Weibull Distributions*. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2010;5(1):137-146. https://izlik.org/JA84HY28HM
Chicago
Çelebioğlu, Salih. 2010. “On an Extension of the Exponential and Weibull Distributions*”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 5 (1): 137-46. https://izlik.org/JA84HY28HM.
EndNote
Çelebioğlu S (June 1, 2010) On an Extension of the Exponential and Weibull Distributions*. Süleyman Demirel University Faculty of Arts and Science Journal of Science 5 1 137–146.
IEEE
[1]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, June 2010, [Online]. Available: https://izlik.org/JA84HY28HM
ISNAD
Çelebioğlu, Salih. “On an Extension of the Exponential and Weibull Distributions*”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 5/1 (June 1, 2010): 137-146. https://izlik.org/JA84HY28HM.
JAMA
1.Çelebioğlu S. On an Extension of the Exponential and Weibull Distributions*. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2010;5:137–146.
MLA
Çelebioğlu, Salih. “On an Extension of the Exponential and Weibull Distributions*”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 5, no. 1, June 2010, pp. 137-46, https://izlik.org/JA84HY28HM.
Vancouver
1.Salih Çelebioğlu. On an Extension of the Exponential and Weibull Distributions*. Süleyman Demirel University Faculty of Arts and Science Journal of Science [Internet]. 2010 Jun. 1;5(1):137-46. Available from: https://izlik.org/JA84HY28HM