statistics, the noncentral F-distribution is a continuous probability distribution that is a noncentral generalization of the (ordinary) F-distribution. It describes...

(Fisher's z-distribution) The noncentral F-distribution simplifies to the F-distribution if λ = 0 {\displaystyle \lambda =0} . The doubly noncentral F-distribution...

the noncentral beta distribution is a continuous probability distribution that is a noncentral generalization of the (central) beta distribution. The...

The noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes...

following distributions: Noncentral t-distribution Noncentral chi-squared distribution Noncentral chi-distribution Noncentral F-distribution Noncentral beta...

the noncentral chi-squared distribution (or noncentral chi-square distribution, noncentral χ 2 {\displaystyle \chi ^{2}} distribution) is a noncentral generalization...

the noncentral chi distribution is a noncentral generalization of the chi distribution. It is also known as the generalized Rayleigh distribution. If...

theory and statistics, Fisher's noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where sampling probabilities...

success probabilities. Fisher's noncentral hypergeometric distribution Wallenius' noncentral hypergeometric distribution Benford's law, which describes...

k 2 ∼ F k 1 , k 2 ′ ( λ ) {\displaystyle {\frac {V_{1}/k_{1}}{V_{2}/k_{2}}}\sim F'_{k_{1},k_{2}}(\lambda )} , a noncentral F-distribution. m n F m , n...

Wallenius' noncentral hypergeometric distribution (named after Kenneth Ted Wallenius) is a generalization of the hypergeometric distribution where items...

The noncentral t distribution generalizes the t distribution to include a noncentrality parameter. Unlike the nonstandardized t distributions, the noncentral...

This distribution is sometimes called the central chi-squared distribution, a special case of the more general noncentral chi-squared distribution. The...

{x}+n_{y}-2)p}}t^{2}\sim F(p,n_{x}+n_{y}-1-p).} The non-null distribution of this statistic is the noncentral F-distribution (the ratio of a non-central...

_{1}} . The square of X / σ {\textstyle X/\sigma } has the noncentral chi-squared distribution with one degree of freedom: X 2 / σ 2 ∼ χ 1 2 ( μ 2 / σ 2...

parametrization of the beta distribution). The beta distribution is the special case of the noncentral beta distribution where λ = 0 {\displaystyle \lambda...

category Noncentral beta distribution Noncentral chi distribution Noncentral chi-squared distribution Noncentral F-distribution Noncentral hypergeometric...

Fisher distribution may refer to any of several probability distributions named after Ronald Fisher: Behrens–Fisher distribution Fisher's noncentral hypergeometric...

possibly with non-zero mean (noncentral). It was named after Stephen O. Rice (1907–1986). The probability density function is f ( x ∣ ν , σ ) = x σ 2 exp...

{\displaystyle X} has a noncentral hypergeometric distribution The beta-binomial distribution is a conjugate prior for the hypergeometric distribution. The following...

the generalized gamma distribution or the Nakagami distribution or the noncentral chi distribution lim k → ∞ χ k − μ k σ k → d   N ( 0 , 1 ) {\displaystyle...

{\mu }})+k\ln(2\pi )\right]} , The circularly symmetric version of the noncentral complex case, where z {\displaystyle {\boldsymbol {z}}} is a vector of...

applies noncentral F distribution. While with a given population standard deviation σ {\displaystyle \sigma } , the same test question applies noncentral chi-squared...

product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions. Given...

{\frac {1}{2\sigma ^{2}}}\right).} The Rice distribution is a noncentral generalization of the Rayleigh distribution: R a y l e i g h ( σ ) = R i c e ( 0 ,...

distribution. The generalized chi-squared variable may be described in multiple ways. One is to write it as a weighted sum of independent noncentral chi-square...

Laplace distribution becomes: f x ( x 1 , … , x k ) = 2 ( 2 π ) k / 2 | Σ | 0.5 ( x ′ Σ − 1 x 2 ) v / 2 K v ( 2 x ′ Σ − 1 x ) , {\displaystyle f_{\mathbf...

also possible to write down the moment-generating function even in the noncentral case (essentially the nth power of Craig (1936) equation 10) although...

)^{2}/(2\sigma ^{2})}).} This is a noncentral chi-squared distribution with one degree of freedom. The probability distribution of the sum of two independent...

When μ = 0, the distribution of Y is a half-normal distribution. The random variable (Y/σ)2 has a noncentral chi-squared distribution with 1 degree of...