Under the leadership of the University of Bonn, a research team led by Prof. Dr. Pavel Kroupa from the Helmholtz Institute for Radiation and Nuclear Physics has discovered that galaxy clusters are ...

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 Two-State ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

All the scripts were developed on MATLAB 2023a (compatible with MATLAB 2022b or later). This file contains two main scripts: CoherentBasis.m FockBasis.m which define two types of classes. The first ...

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 ...

Abstract: Probability mass function (PMF) estimation using a low-rank model for the PMF tensor has gained increased popularity in recent years. However, its performance evaluation relied mostly on ...

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) ...