statistical frequency analysis is the most common procedure for the analysis of flood data at a gauged location thatin first step it is needed to select a model to represent the population. among them, the central moment has been themost common and widely used, and with the using of computers, the application of the maximum likelihood hasincreased. this research was carried out in order to reco...

We consider a status update system consisting of two independent sources and one server in which packets each source are generated according to the Poisson process served an exponentially distributed service time. derive moment generating function (MGF) age information (AoI) for by using stochastic hybrid systems (SHS) under existing source-aware packet management policies we term self-preempti...

We develop a new continuous distribution called the beta-Burr type X distribution that extends the Burr type X distribution. The properties provide a comprehensive mathematical treatment of this distribution. Further more, various structural properties of the new distribution are derived, that includes moment generating function and the rth moment thus generalizing some results in the literatur...

We introduce the beta generalized exponential distribution that includes the beta exponential and generalized exponential distributions as special cases. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus generalizing some results in the literature. Expressions for the density, moment generating function and r...

We present here a method for the study of stochastic neurodynamics in the framework of the Neural Network Master Equation proposed by Cowan. We consider a model neural network composed of two{ state neurons subject to simple stochastic kinetics. We introduce a method based on Feynman diagrams to compute the moment generating function of such a network. We show that the method enables us to obta...

In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

We derive and apply a partial differential equation for the moment generating function of the Wright-Fisher model of population genetics.