ON THE NEW RELIABILITY DISTRIBUTIONS AND POSSON LIMIT THEOREM FOR THEM

Bogdan Gheorghe MUNTEANU, Alexei LEAHU* , Sergiu CATARANCIUC Universitatea de Stat din Moldova *Universitatea Tehnică a Moldovei

Abstract

Four new distributions of the minimum and maximum of a sequence of independent, identicaly Erlang distributed random variables in a random number distributed binomial and Poisson (zero truncated) are introduced. Properties and characteristics of these distributions and Poisson limit theorem was approached for them. Keywords: power series distribution, zero truncated binomial and Poisson distributions, Erlang distribution, Poisson limit theorem, lifetime distribution.