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

(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...

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

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

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

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

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

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

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

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...

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

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

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

_{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...

{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...

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

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

{\displaystyle 2\sigma ^{2}.} 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 ,...

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

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...

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

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

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

of squares above has a non-central chi-squared distribution with n degrees of freedom and "noncentrality parameter" μ 1 2 + ⋯ + μ n 2 . {\displaystyle...

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...

a special case of various distributions: generalized gamma, Nakagami, noncentral chi, etc. lim k → ∞ χ k − μ k σ k → d   N ( 0 , 1 ) {\displaystyle \lim...

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...

Chi-squared distribution Dirichlet distribution F-distribution Gamma distribution Hotelling's T-squared distribution Student's t-distribution Wishart distribution...

)^{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...