The stochastic nature of renewable energy sources (RESs) necessitates treating power system frequency response as a random process with a nonstationary probability density function (PDF). Based upon ...

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: This paper addresses models for time series of integer-valued variables. Such series arise in various applications, often as increment series for counts of interest. A model with a ...

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 ...

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 ...