EB lifetime distributions as alternative to the EP lifetime distributions

Open access


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.

[1] Dempster, A.P., Laird, N.M. and Rubin, D.B. (1977). Maximum-likelihood from incomplete data via the em algorithm,,J. 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.

Analele Universitatii "Ovidius" Constanta - Seria Matematica

The Journal of "Ovidius" University of Constanta

Journal Information

IMPACT FACTOR 2017: 0.452
5-year IMPACT FACTOR: 0.512

CiteScore 2017: 0.59

SCImago Journal Rank (SJR) 2017: 0.316
Source Normalized Impact per Paper (SNIP) 2017: 0.790

Mathematical Citation Quotient (MCQ) 2016: 0.10

Target Group

researchers in all fields of pure and applied mathematics


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 119 98 13
PDF Downloads 44 42 6