The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has...

in this paper, we consider an  i.e., multiple step-stress accelerated life testing (alt) experiment with unequal duration of time . it is assumed that the time to failure of a product follows rayleigh distribution with a log-linear relationship between stress and lifetime and also we assume a generalized khamis-higgins model for the effect of changing stress levels. taking into account that the...

Because of the significantly-increasing work-function variation (WFV) in high-k/metal-gate technology in sub-30-nm nodes, a simple but reasonable model for quantitatively estimating the WFV is currently required. In this study, a Monte Carlo simulation for statistically generating the grain sizes following two different probability distributions (ie Gaussian and Rayleigh distributions) is su...

A measurable quality characteristic is assumed to follow Inverse Rayleigh distribution. Variable control charts based on the extreme values of each subgroup are constructed. The technique of analysis of means (ANOM) is adopted to work out the decision lines of Inverse Rayleigh distribution. The preferability of the proposed ANOM decision lines over that of Ott (1967) [11] is illustrated by some...