Two Families of Continuous Probability Distributions Generated by the Discrete Lindley Distribution

Probability Distributions: Discrete vs. Continuous

Exponential-modified discrete Lindley distribution

In this study, we have considered a series system composed of stochastically independent M-component where M is a random variable having the zero truncated modified discrete Lindley distribution. This distribution is newly introduced by transforming on original parameter. The properties of the distribution of the lifetime of above system have been examined under the given circumstances and also...

A continuous approximation fitting to the discrete distributions using ODE

The probability density functions fitting to the discrete probability functions has always been needed, and very important. This paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. The main key in these fittings is the use of the derivative concept and common differential ...

Probability Distributions Generated by Fractional Diffusion Equations

Fractional calculus allows one to generalize the linear one-dimensional diiusion equation by replacing either the rst time derivative or the second space derivative by a derivative of fractional order. The fundamental solutions of these generalized diiusion equations are shown to provide probability density functions evolving in time or varying in space which are related to the special class of...

A New Continuous Distribution and Two New Families of Distributions Based on the Exponential

A New Continuous Distribution and Two New Families of Distributions Based on the Exponential Recent work on social status led to derivation of a new continuous distribution based on the exponential. The new variate, termed the ring(2)-exponential, in turn leads to derivation of two closely-related new families of continuous distributions, which we call the mirrorexponential and the ring-exponen...