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

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

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

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 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...

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

probability distribution of employed versus unemployed respondents in a sample of n respondents can be described as a noncentral hypergeometric distribution. The...

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...

circularly-symmetric bivariate normal random variable, possibly with non-zero mean (noncentral). It was named after Stephen O. Rice (1907–1986). The probability density...

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

_{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...

{\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 ,...

beta prime distribution If V 1 ∼ χ ′ k 1 2 ( λ ) {\displaystyle V_{1}\sim {\chi '}_{k_{1}}^{2}(\lambda )} , a noncentral chi-squared distribution, and V 2...

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

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

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

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 Chi-squared random...

{\sqrt {n_{1}n_{2}/(n_{1}+n_{2})}}\,g} , follows a noncentral t-distribution with the noncentrality parameter n 1 n 2 / ( n 1 + n 2 ) θ {\textstyle {\sqrt...

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

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...

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...

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

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...

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...

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

doi:10.1214/aoms/1177703550. Constantine, Alan Graham (1963). "Some Noncentral Distribution Problems in Multivariate Analysis". Ann. Math. Statist. 34 (4):...