probability distribution research papers

The probability distributions are a common way to describe, and possibly predict, the probability of an event. The main point is to define the character of the variables whose behaviour we are trying to describe, trough probability (discrete or continuous).

Today, data mining and gene expressions are at the forefront of modern data analysis. Here we introduce a novel probability distribution that is applicable in these fields. This paper develops the proposed sph...

For continuous variables, the probability can be described by the most important distribution in statistics, the normal distribution. Distributions of probability are briefly described...

In this Special Issue, we are inviting high-quality research papers focused either on theoretical aspects of probability distributions or on their applications. Scientists can contribute original research articles as well as review articles.

High-frequency enhanced VaR: A robust univariate realized volatility model for diverse portfolios and market conditions. Wei Kuang.

In order to express and quantify the uncertainty of the possible values of the aleatory variable, we will introduce the concept of the distribution of probability. This is a mathematical model that is able to link every value of a variable to the probability that this value may be actually observed.

Journal of Theoretical Probability is a multidisciplinary journal publishing high-quality, original papers in all areas of probability theory. Covers all areas of probability theory, including probability on semigroups, groups, vector spaces, and random matrices.

This article will cover the basic principles behind probability theory and examine a few simple probability models that are commonly used, including the binomial, normal, and Poisson distributions. We will then see how sampling distributions are used as the basis for statistical inference and how they are related to simple probability models.

This paper is concerned with the probability distribution $$a_{n,j}:=4^{-n}{2j\atopwithdelims ()j}{2n-2j\atopwithdelims ()n-j}, j=0,1,\dots ,n$$ . We present basic properties of the sequence $$(a_{n,j})$$ : integral representations, recurrence formulas, convexity properties, bounds for the associated information potential.

This paper is concerned with a probability distribution described by (2.1) below. The numbers an,j appear in several formulas from Combinatorics and other areas of mathematics. A special motivation for us is represented by the identity (2.4), from which several other useful formulas can be derived.