This paper presents Rayleigh mixtures of distributions in which the weight functions are assumed to be chi-square, t and F sampling distributions. The exact probability density functions of the mixture of two correlated Rayleigh random variables have been derived. Different moments, characteristic functions, shape characteristics, and the estimates of the parameters of the proposed mixture dist...

In this paper, a four parameters extension of the generalized Lindley distribution is introduced. The new distribution includes the power Lindley, Lindley, generalized (Stacy) gamma, gamma, Weibull, Rayleigh, exponential and half-normal distribution. Several statistical properties of the distribution are explored. Then, a bivariate version of the proposed distribution is derived. Using a simula...

This paper provides a new lifetime distribution model named as Compound Rayleigh Lifetime Distribution -I which is derived from by imposing the restriction on of its parameter towards obtaining properties fine tuning manoeuvres and shift process in mean useful reliability statistical quality control analysis. The theoretical results obtained are illustrated with appropriate practical example.

Monitoring, control and improvement of quality are  important  for companies.  Process capability indices (PCIs) are tools widely used by the industries to determine  the quality of their products and the performance of their manufacturing processes. Classic versions of  these  indices were constructed for processes whose quality characteristics have  a  normal distribution. But, many of these ...

In this paper two new fading distributions, the α−η−μ Distribution and α−κ−μ Distribution, are presented. The α − η − μ distribution includes the α − μ, Nakagami-m, Nakagami-q, Weibull, Hoyt, Rayleigh, Exponential, and the OneSided Gaussian distributions as special cases. The α − κ − μ distribution includes the α − μ, Nakagami-m, Weibull, Rice, Rayleigh, Exponential, and the One-Sided Gaussian ...