Abstract: Quaternion random signals can be analyzed using augmented second-order statistics. If these signals are treated as the augmented quaternion valued random variables, then they can be modeled ...

ABSTRACT: This study evaluates the projected impacts of climate change on surface water availability in the Diaguiri River Basin, a sub-catchment of the Gambia River in West Africa, using the ...

The integration of distributed generation (DG) into modern electric grids has garnered considerable interest due to its potential to enhance energy resiliency, reduce carbon emissions, and improve ...

Abstract: Random feature latent variable models (RFLVMs) are state-of-the-art tools for uncovering structure in high-dimensional, non-Gaussian data. However, their reliance on Monte Carlo sampling ...

Random number generation is an essential feature in Excel, allowing users to perform tasks such as simulations, creating test datasets, or experimenting with spreadsheet models. Excel provides three ...

Probability is the backbone of data science and machine learning, providing essential tools to model uncertainty and variability. This article explores the foundational concepts: random variables, ...

ABSTRACT: In this paper, we explore the dynamic relationship between exchange rates, natural gas, and crude oil prices using the wavelet vine copula approach. The vine copula method offers the ...

A probability distribution is a list of all of the possible outcomes of a random variable along with their corresponding probability values. It helps us understand how that data is spread out. Simply ...

Mathematicians like to generalize concepts into higher dimensions. Sometimes this is easy. If you want to efficiently pack squares in two dimensions, you arrange them like a checkerboard. To squeeze ...

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 ...

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 ...

Monte Carlo (MC) simulations allowing to describe photons propagation in statistical mixtures represent an interest that goes way beyond the domain of optics, and can cover, e.g., nuclear reactor ...