Non-Gaussian distributions occur in systems that do not follow strictly the prescriptions of standard statistics. Important example of non-Gaussian statistics is distribution which was introduced by Lord Rayleigh in connection with the problem of interference of harmonic oscillations with random phases [1, 2]. This distribution is known also as Wigner's surmise distribution giving a remarkably ...

This article reports an extension of powered inverse Rayleigh distribution via DUS transformation, named DUS-Powered Inverse (DUS-PIR) distribution. Some statistical properties suggested in particular, moments, mode, quantiles, order statistics, entropy, inequality measures and stress-strength parameter have been investigated extensively. To estimate the parameters, maximum likelihood estimatio...

This article is based on formulation of a new three parameters continuous distribution. Some important properties are discussed here. Different methods estimation used for parameter estimation. Validity the model tested using different information criteria as well some graphical plots. For applicability testing, real data set taken. comparison we have considered previously introduced probabilit...

The dual Rayleigh-type color match is the ratio of 621 nm light to 550 nm light that in admixture matches 586 nm light, divided by the ratio of 667 nm light to 550 nm light that in admixture matches 586 nm light. Compared to the classical Rayleigh match, the dual-match procedure minimizes variation in color matching arising from differences in lens pigmentation and photopigment optical density,...

Example A.1 (Rayleigh distribution). The Rayleigh distribution R is the chi distribution χ(2), with density xe−x 2/2. This is a special case of Example 3.6, and we have ER = 2Γ(s/2 + 1), −2 < Re s <∞. (A.1) We have ρ+ =∞, ρ− = −2, γ = γ′ = 1/2, δ = 1/2, κ = 0, C1 = π1/2. Example A.2 (Maxwell distribution). The Maxwell distribution M is the chi distribution χ(3), with density (2/π)1/2x2e−x 2/2. ...

A numerical study of the natural convection of the laminar heat transfers in the stationary state was developed in a horizontal ring and compared between a heated trapezoidal internal cylinder and a cold elliptical outer cylinder. This annular space is traversed by a Newtonian and incompressible fluid. The Prandtl number is set to 0.7 (air case) for different Rayleigh numbers. The system of equ...