<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

EB lifetime distributions as alternative to the EP lifetime distributions

Department of Pharmacy, Ovidius University of Constanta, 1, University Alley, Campus, Corp B, Constanta, Romania

Department of Nautical Science, Mircea cel Bătrân” Naval Academy, Constanta, Fulgerului Street, no.1, 900218, Constanta, Romania.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"EB lifetime distributions as alternative to the EP lifetime distributions"}

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 lifetime distributions as alternative to the EP lifetime distributions

Published Online: Dec 22, 2015

Page range: 115 - 126

Received: Apr 04, 2013

Accepted: Jun 27, 2013

DOI: https://doi.org/10.2478/auom-2014-0053

Keywords
lifetime distribution, mixing r.v., exponential, zero truncated binomial and Poisson distributions, Poisson’s Limit Theorem, statistical simulation, EM algorithm

© 2014 Carmen Elena Lupu et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

EB lifetime distributions as alternative to the EP lifetime distributions

Published Online: Dec 22, 2015

Page range: 115 - 126

Received: Apr 04, 2013

Accepted: Jun 27, 2013

DOI: https://doi.org/10.2478/auom-2014-0053

Keywordslifetime distribution, mixing r.v., exponential, zero truncated binomial and Poisson distributions, Poisson’s Limit Theorem, statistical simulation, EM algorithm

© 2014 Carmen Elena Lupu et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
lifetime distribution, mixing r.v., exponential, zero truncated binomial and Poisson distributions, Poisson’s Limit Theorem, statistical simulation, EM algorithm