The biased transformation is introduced for continuous random variables. It is proved in the paper that the biased transformation works for the generalized Pareto, the generalized extreme value and the normal distribution. The biased transformation works for continuous distributions of the exponential family as an approximation; this is demonstrated with the aid of simulations. The new transfor...

A bivariate gamma-type density function involving a confluent hypergeometric function of two variables is being introduced. The inverse Mellin transform technique is employed in conjunction with the transformation of variable technique to obtain its moment generating function, which is expressed in terms of generalized hypergeometric functions. Its cumulative distribution function is given in c...

In this paper, we present a new class of distributions called New Generalized Lindley Distribution(NGLD). This class of distributions contains several distributions such as gamma, exponential and Lindley as special cases. The hazard function, reverse hazard function, moments and moment generating function and inequality measures are are obtained. Moreover, we discuss the maximum likelihood esti...

Gamma distribution is widely used in applied fields due to its flexibility of accommodating right-skewed data. This article explores statistical methods for constructing confidence intervals both the difference and ratio two gamma means. We propose several based on concepts generalized inference, variance estimates recovery (MOVER) parametric bootstrapping. The performances proposed are evaluat...

In this paper, some of the most important statistical properties concerning the product and the ratio of two correlated generalized Gamma (GG) random variables (rvs) are studied. The probability density function of both the product and the ratio of two correlated GG rvs are obtained in closed form, while the cumulative distribution function of the product is derived in terms of an infinite seri...

We propose in this paper a random intercept Poisson model in which the random effect distribution is assumed to follow a generalized log-gamma (GLG) distribution. We derive the first two moments for the marginal distribution as well as the intraclass correlation. Even though numerical integration methods are in general required for deriving the marginal models, we obtain the multivariate negati...

‎The aim of this paper is to study distribution of ratios of generalized order statistics from pareto distribution. parameter estimation of Pareto distribution based on generalized order statistics and ratios of them have been obtained. Inferences using method of moments and unbiased estimator have been obtained to develop point estimations. Consistency of unbiased estimator has been illustrate...