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...

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...

heavy metal contamination has been and continues to be a worldwide phenomenon that heavy metals in the soil have an effect on environment and food quality, and may threaten human health. no information is currently available on the distribution pattern of heavy metals concentration in soils of golestan province. the objective of this research was to determine the spatial distribution of cd, as,...

Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distributions includes exponential distribution, Pareto distribution, and Power distribution. In this paper, we established exact expressions and recurrence relations satisfied by the quotient moments of generalized order statistic...

This paper deals with the mathematical method for extracting Exponential Rayleighh distribution based on mixed between cumulative function of and Rayleigh using an application (maximum), as well derived different statistical properties distribution, present a structure new modified weighted version Azzalini’s (1985) named Modified Weighted such that this is generalization provide some special m...