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...

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

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

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

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

mostly using multiple restrictions Noncentral t-distribution in power analysis – Probability distribution Student's t-statistic – Ratio in statisticsPages...

chi-squared distribution and noncentral chi-squared distribution The noncentral t-distribution can be obtained from normal distribution and chi-squared...

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

{\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...

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

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...

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

_{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...

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

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

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...

{\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 ,...

{n_{x}+n_{y}-p-1}{(n_{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...

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

variance based on the noncentral t-distribution. Two-sided normal tolerance intervals can be estimated using the chi-squared distribution. "In the parameters-known...

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

Laplace distributions are extensions of the Laplace distribution and the asymmetric Laplace distribution to multiple variables. The marginal distributions of...

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

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...

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

(Y/σ)2 has a noncentral chi-squared distribution with 1 degree of freedom and noncentrality equal to (μ/σ)2. The folded normal distribution can also be...

elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. In the simplified...

of any real-valued random variable completely defines its probability distribution. If a random variable admits a probability density function, then the...