EB lifetime distributions as alternative to the EP lifetime distributions

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In this paper we consider lifetime distributions called EB-Max distribution and EB-Min. In the conditions of the Poisson’s Limit Theorem it is shown that EB-Max distribution may be approximated by its analogous called EP-Max lifetime distribution and EB-Min distribution may be approximated by its analogous EP-Min lifetime distribution. Further, as example, two methods are provided to simulate pseudo random number for EB-Min distribution and we apply EM algorithm to estimate parameters of EB-Min distribution. An example with real data is also presented and the proposed simulation algorithms where implemented in Maple.

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  • [1] Dempster A.P. Laird N.M. and Rubin D.B. (1977). Maximum-likelihood from incomplete data via the em algorithmJ. Royal Statist. Soc. Ser. B. 39: 1-38.

  • [2] Feller W. (1965). An introduction to probability theory and its applications. Vol 1 John Wiley&Sons New York.

  • [3] Gonzales L.A.P. Vaduva I. (2010). Simulation of some mixed lifetime distributions. The 13-rd Conference of Romanian Society of Probability and Statistics Technical University of Civil Engineering Bucharest April 16-17.

  • [4] Jose Flores D. Patrick Borges Vicente G. Cancho Francisco Louzada The Complementary exponential power series distribution Brazilian Journal of Probability and Statistics (to apear)

  • [5] Kuş C. (2007). A new lifetime distribution. Computational Statistics&Data Analysis 51: 4497-4509.

  • [6] Leahu A. Lupu C.E. (2010). On the binomially mixed exponential lifetime distribution. Proceedings of the Seventh Workshop on Mathematical Modelling of Environmental and Life Sciences Problems ”Ovidius” University Constanta September 2008 Ed. Acad. Romana Bucharest pp. 191-196.

  • [7] Lupu Elena Carmen (2011). Statistical and Mathematical analysis of life data PhD. Thesis University of Bucharest Faculty of Mathematics and Informatics

  • [8] Vaduva I. (2005). Models of Simulation. Ed. Univ. Bucharest.

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