A Study of Understand the Weighted Maxwell- Boltzmann Distribution | Original Article

ABSTRACT:

The Maxwell Distribution is often used in physics, especially statistical mechanics, to describe the speed of a particle in an idealized gas. James Clerk Maxwell, a Scottish physicist, suggested this distribution in 1859. In 1871, a German scientist named Ludwig Boltzmann built on Maxwell's work to explain how energy is distributed among molecules. The speed of a particle travelling through threedimensional space may be seen as a collection of independent and normally distributed random variables, each with a mean and variance equal to one-third of the rate parameter, which is the focus of the majority of the study.Derivation of weighted Maxwell-Boltzmann distribution, weighted distribution, Maximum likelihood estimation, Structural properties, Estimation of parameters, Maximum likelihood estimation