ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...

In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

Abstract: This paper presents an analysis of the average bit error probability (ABEP) based on the moment generating function (MGF) over the Beaulieu-Xie fading ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...

1 Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia 2 Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia The main purpose of this paper is to ...

Outsourcing has become a go-to strategy for many companies seeking cost reduction and process optimization. In some cases, turning to external talent can help save money and free up valuable time for ...

In the domain of reasoning under uncertainty, probabilistic graphical models (PGMs) have long been a prominent tool for data analysis. These models provide a structured framework for representing ...

Proteins, the natural molecules that carry out key cellular functions within the body, are the building blocks of all diseases. Characterizing proteins can reveal the mechanisms of a disease, ...