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 ...

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 ...

Abstract: Generating function techniques have been extensively used to analyze the performance of both convolutional and trellis codes over AWGN and Rayleigh 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 ...

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 ...

Probability is a measure of how likely an event is to occur within a specific range of possible outcomes. While it is often associated with gambling, probability theory plays a vital role in various ...

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 ...