EB distributions as alternative lifetime’s distributions

Abstract

In this paper it was introduced a new lifetime distribution obtained as a distribution of random variable (r.v.) ) ,...,,max( 21 K WWW , where 1 )( ≥ i iW are independent, identically exponentially distributed r.v. In the conditions of the Poisson's Limit Theorem it is shown that this distribution, called EBMax distribution may be approximated by its analogous called EP-Max lifetime distribution and EB-Min distribution introduced in [1] may be approximated by its analogous EP-Min lifetime distribution introduced in [2].