ABSTRACT: We obtain an infinite series expression for the joint probability density function of occupation times in a Three-State Markov chain. By extending the identity given by Darroch, we ...

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 ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

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 ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...

A decision by California state officials to extend operations at Oxnard’s Ormond Beach Generating Station by three more years disappointed environmentalists, social justice activists and Ventura ...

The COS method was introduced in Fang & Oosterlee (2008) and then was applied to pricing a variety of stock options for continuous random variables. This paper adapts the Fourier-cosine series (COS) ...

Generating subsets is the process of finding all the subsets of a given set. A subset is a collection of elements from the original set, where the order of the elements does not matter and duplicates ...