In probability theory and statistics, the Rayleigh distribution is a continuous probability distribution for nonnegative-valued random variables. Up to...

fade, according to a Rayleigh distribution — the radial component of the sum of two uncorrelated Gaussian random variables. Rayleigh fading is viewed as...

probability theory and statistics a Rayleigh mixture distribution is a weighted mixture of multiple probability distributions where the weightings are equal...

other probability distributions; in particular, it interpolates between the exponential distribution (k = 1) and the Rayleigh distribution (k = 2 and λ =...

familiar examples are the Rayleigh distribution (chi distribution with two degrees of freedom) and the Maxwell–Boltzmann distribution of the molecular speeds...

John William Strutt, 3rd Baron Rayleigh (/ˈreɪli/; 12 November 1842 – 30 June 1919), was an English physicist who received the Nobel Prize in Physics in...

X\sim \chi _{2k}^{2}} If X ∼ Rayleigh ⁡ ( 1 ) {\displaystyle X\sim \operatorname {Rayleigh} (1)\,} (Rayleigh distribution) then X 2 ∼ χ 2 2 {\displaystyle...

{\textrm {Rayleigh}}(b)} (Rayleigh distribution) then X ∼ Laplace ( μ , b ) {\displaystyle X\sim {\textrm {Laplace}}(\mu ,b)} . Note that if Y ∼ Rayleigh ( b...

components. Rayleigh distributions are found in RF signals with Gaussian real and imaginary components. Rice distribution, a generalization of the Rayleigh distributions...

noncentral chi distribution is a noncentral generalization of the chi distribution. It is also known as the generalized Rayleigh distribution. If X i {\displaystyle...

{z^{2}}{1+z^{2}}},\;\;\;z\geq 0} The Rayleigh distribution has scaling as its only parameter. The distribution of Z = α X / Y {\displaystyle Z=\alpha...

Distribution of eccentricities for models of the inner Solar System after long-term numerical integration. Hoyt distribution Rayleigh distribution Abdi...

Rayleigh scattering (/ˈreɪli/ RAY-lee) is the scattering or deflection of light, or other electromagnetic radiation, by particles with a size much smaller...

such a case, the Rician distribution, which describes the amplitude gain in Rician fading, reduces to a Rayleigh distribution. Rician fading itself is...

sample represented by the bivariate circular distribution. In turn, the properties of the Rayleigh distribution are that its percentile at level F ∈ [ 0 %...

{\displaystyle {\sqrt {X}}\sim \operatorname {Rayleigh} \left({\frac {1}{\sqrt {2\lambda }}}\right)} , the Rayleigh distribution X ∼ Weibull ⁡ ( 1 λ , 1 ) {\displaystyle...

Maxwell–Boltzmann statistics Maxwell–Jüttner distribution Boltzmann distribution Rayleigh distribution Kinetic theory of gases The calculation is unaffected...

leptokurtic distribution has fatter tails. Examples of leptokurtic distributions include the Student's t-distribution, Rayleigh distribution, Laplace distribution...

gamma distribution is used to model the multi-path fading of signal power;[citation needed] see also Rayleigh distribution and Rician distribution. In oncology...

distribution § Transformations The Rayleigh distribution The Rayleigh mixture distribution The Rice distribution The shifted Gompertz distribution The...

then it becomes the exponential distribution. If p = d = 2 {\displaystyle p=d=2} then it becomes the Rayleigh distribution. If p = 2 {\displaystyle p=2}...

normal) distribution with variance distributed according to an exponential distribution (or with standard deviation according to a Rayleigh distribution) yields...

envelope in volts may be modelled as a random variable with Rayleigh distribution or Ricean distribution (and thus the corresponding power gain F g = 10 − X g...

sometimes known as the Rayleigh z test. Circular distribution Directional statistics Kuiper's test Rayleigh distribution Watson test Rayleigh plot Confidence...

arriving by the various paths have a distribution known as the Rayleigh distribution, this is known as Rayleigh fading. Where one component (often, but...

1 2 + X 2 2 {\textstyle {\sqrt {X_{1}^{2}+X_{2}^{2}}}} has the Rayleigh distribution. Any linear combination of independent normal deviates is a normal...

Rayleigh Rayleigh criterion in angular resolution Rayleigh distribution Rayleigh fading Rayleigh law on low-field magnetization Rayleigh length Rayleigh number...

interference fading, the time distribution of the instantaneous field strength usually approximates a Rayleigh distribution when several signal components...

half-normal distribution, Y -2 has a Lévy distribution The Rayleigh distribution is a moment-tilted and scaled generalization of the half-normal distribution. Modified...

distribution, Erlang distribution, Weibull distribution, logistic distribution, error distribution, power-law distribution, Rayleigh distribution. Example: If...