Domains of attraction of asymptotic reliability functions of some homogeneous series-parallel systems

摘要

Theorems about domains of attraction of limit distribution of extreme statistics of independent identically distributed random variables are well known. It has been shown that if the series-parallel system is such that the number of its series components is of order of less than the logarithm of the number of its parallel components then there is a three-element class of its limit reliability functions. This paper presents the solution concerned with domains of attraction for these asymptotic reliability functions. Moreover, some examples are given.