On identifiability of mixtures of composed Poisson distributions
On Inaccuracy Generating Functions of Probability Distributions.
On preservation under univariate weighted distributions
We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.
On probabilities in certain multivariate distributions: their dependence on correlations
On Probability Distribution Solutions of a Functional Equation
Let 0 < β < α < 1 and let p ∈ (0,1). We consider the functional equation φ(x) = pφ (x-β)/(1-β) + (1-p)φ(minx/α, (x(α-β)+β(1-α))/α(1-β)) and its solutions in two classes of functions, namely ℐ = φ: ℝ → ℝ|φ is increasing, , , = φ: ℝ → ℝ|φ is continuous, , . We prove that the above equation has at most one solution in and that for some parameters α,β and p such a solution exists, and for some it does not. We also determine all solutions of the equation in ℐ and we show the exact connection...
On probability generating functions for matching and occupancy distributions
On Random Variables with the Same Distribution Type as Their Random sum
On reliability analysis of consecutive -out-of- systems with arbitrarily dependent components
In this paper, we consider the linear and circular consecutive -out-of- systems consisting of arbitrarily dependent components. Under the condition that at least components () of the system are working at time , we study the reliability properties of the residual lifetime of such systems. Also, we present some stochastic ordering properties of residual lifetime of consecutive -out-of- systems. In the following, we investigate the inactivity time of the component with lifetime at the system...
On revelation transforms that characterize probability distributions.
On ...semigroups of probability distribution functions II.
On small deviation probabilities of positive random variables.
On some characterizations in probability by using minima and maxima of random variables.
On some characterizations in probability by using minima and maxima of random variables. (Short Communication).
On some distributiions involving general functions
On some families of AQSI random variables and related strong law of large numbers.
On some general distributions in terms of generalized functions
On Some Properties of the Linear Function Poisson Binomial and Negative Binomial Distributions.
On some sequences derived from the Poisson distribution.
On some shift invariant integral operators, univariate case
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and...
On standard normal convergence of the multivariate Student -statistic for symmetric random vectors.