The Rayleigh Function

Efficient Estimation of the Density and Cumulative Distribution Function of the Generalized Rayleigh Distribution

The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has...

Importance sampling the Rayleigh phase function.

Rayleigh scattering is used frequently in Monte Carlo simulation of multiple scattering. The Rayleigh phase function is quite simple, and one might expect that it should be simple to importance sample it efficiently. However, there seems to be no one good way of sampling it in the literature. This paper provides the details of several different techniques for importance sampling the Rayleigh ph...

Software Reliability Prediction Model Using Rayleigh Function

Predicţia fiabilităţii produselor software poate determina fiabilitatea prezentă a unui produs, folosind tehnici statistice bazate pe datele de eşec, obţinute în timpul testării sau a folosirii sistemului. Scopul acestei lucrări este să studieze evoluţia unui produs real de-a lungul a trei variante, folosind funcţia Rayleigh pentru a prezice numărul de defecte. Articolul oferă două posibilităţi...

Analytical vibroacoustic modeling of an elastic Rayleigh beam using Green's function

The purpose of this article is to provide an analytical model of the vibroacoustic for an elastic beam submerged in low subsonic flows with mean velocities. In general, vibroacoustic modeling refers to the combined effects of sound propagation and mechanical vibration of the structure. Sound radiations from submerged structures are coupled with physical phenomena because the sound pressures act...

Relationship between the Rayleigh Density and Some Well Known Probability Densities 10 Joint Probability Density Function of Two Independent Rayleigh