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 ...

Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn ...

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 ...

Abstract: The normal distribution model has strong application in mathematical and statistical research. In communication system, each electron component has a safety score, aiming to measure the its ...

Department of Basic Science, Nippon Veterinary and Life Science University, Tokyo, Japan. According to the uncertainty principle, the motion of the single electron in the 1s orbit of a hydrogen atom ...

The main finding of this study is the derivation of a new probability distribution that reveals interesting properties, especially with various asymmetry and kurtosis ...

where μ is the mean and σ the standard deviation. The square of the standard deviation,σ^2 , is called the variance. The function has its peak at the mean, and its “spread” increases with the standard ...

ABSTRACT: The Owen’s T function is presented in four new ways, one of them as a series similar to the Euler’s arctangent series divided by 2π, which is its majorant series. All possibilities enable ...