Cascade reliability model is a special type of Stress Strength model. The n Cascade system is a h ierarch ical standby redundancy system, where the standby component taking the place of failed component with decreased value of stress and independently distributed strength. This paper deals with the generalized exponential distribution with cascade system.

Recently it is observed that the generalized exponential distribution can be used quite effectively to analyze lifetime data in one dimension. The main aim of this paper is to define a bivariate generalized exponential distribution so that the marginals have generalized exponential distributions. It is observed that the joint probability density function, the joint cumulative distribution funct...

The exponential distribution provides a simple, elegant and closed form solution to many problems in lifetime testing and reliability studies. One reason for the wide popularity of the exponential distribution in reliability is that it is the limiting lifetime distribution of a series system of substantially similar components. Also the exponential distribution is important due to its memory lo...

Distribution of the values of exponential sums in nite elds of characteristic two is considered. We derive upper bounds on the individual components of this distribution.