Reliability Properties of Extended Makeham Distributions

• Autorzy: EL-Bassiouny, A. H. , Abdo, N. F.
• Języki publikacji: EN

Abstrakty

EN

This paper investigates reliability properties of a flexible extended Makeham family of distributions. Quantiles are obtained and a probability distribution has for particular parameter values a bathtub hazard rate function.

Słowa kluczowe

EN

Makeham distributions; reliability function; moments and quantiles

• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2009
• Tom: Vol. 15, nr 2
• Strony: 143-149
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

EL-Bassiouny, A. H.

autor

Abdo, N. F.

• Mathematics Department Faculty of Science, Mansoura University, Mansoura, Egypt,

Bibliografia

• [1] B.C. Arnold, N. Balakrishnan and H.N. Nagaraja, A first course in order statistics. NewYork,Wiley (1992).
• [2] X. Feng, G. He and Abdurishit, Estimation of parameters of the Makeham distribution using the least squares method. Mathematics and Computers in Simulation 77, 34-44 (2008).
• [3] S. Kosznik-Biernacka, Makeham's generalised distribution.Computational Methods in Science and Technology 13(2), 113-120 (2007).
• [4] S. Kotz and S. Nadarajah, Extreme value theory, theory and applications. Singapore, World Scientific Publishing Company (2001).
• [5] A.W. Marshall and I. Olkin, A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika 84, 641-652 (1997).
• [6] S.M. Ross, Stochastic processes. Second edition. New York, Wiley (1996).
• [7] D.P.M. Scollnik, Simulating random variates from Makeham's distribution and from others with exact or nearly Log-Concave densities. Trans. Soc. Actuaries 47, 409-437 (1995).