This important study introduces a fully differentiable variant of the Gillespie algorithm as an approximate stochastic simulation scheme for complex chemical reaction networks, allowing kinetic ...

In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

1 Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia 2 Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia The main purpose of this paper is to ...

Abstract: The availability of light-emitting diodes (LEDs) in vehicle exteriors (i.e., headlights and taillights) enables visible light communication (VLC) to be used as vehicle-to-vehicle (V2V) ...

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 ...

High-resolution images captured by the James Webb Space Telescope are offering powerful insights into the complex dust patterns of nearby star-forming galaxies. For the first time, high-resolution ...

This article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...