Probability distributions perform a very significant role in the field of applied sciences, particularly reliability engineering. Engineering data sets are either negatively or positively skewed and/or symmetrical. Therefore, flexible distribution is required that can handle such sets. In this paper, we propose new family lifetime to model aforementioned This proposed known as “New Modified Exp...

The idea of using kernel functions combined with distributions to propose new has recently been used suggest continuous distributions. This article the Epanechnikov function Weibull distribution produce Epanechnikov-Weibull (EWD). We have presented some properties EWD, like moments, MLEs, reliability analysis functions, Rényi entropy and quantile function. estimated model parameters maximum lik...

Abstract The paper shows that treating failure-free time in the three-parameter Weibull distribution not a constant, but as random variable makes resulting much more flexible at expense of only one additional parameter.

Here, the expressions for reliability and mean time to system failure (MTSF) of a parallel-seriessystem of order (m, n) are derived by considering Weibull distribution for failure time of thecomponents. The results of these measures are also obtained for a particular case of Weibulldistribution i.e. for Rayleigh distribution. The behaviour of reliability and MTSF has beenobserve...

The Weibull function is widely used to describe skew distributions observed in nature. However, the origin of this ubiquity is not always obvious to explain. In the present paper, we consider the well-known Galton-Watson branching process describing simple replicative systems. The shape of the resulting distribution, about which little has been known, is found essentially indistinguishable from...

In this paper, we analyze the outage probability of a multibranch selection combining (SC) based on the signal to interference ratio (SIR) over Weibull fading channels in case of non-identical power distribution per branches. Both, desired and interference signal envelopes are exponentially correlated Weibull random variables. Also, an analysis of effects of fading parameter β, correlation coef...