Chi distribution Scaled inverse chi-squared distribution Gamma distribution Generalized chi-squared distribution Noncentral chi-squared distribution Pearson's...

theory and statistics, the generalized chi-squared distribution (or generalized chi-square distribution) is the distribution of a quadratic function of...

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

variable and the origin. The chi distribution describes the positive square roots of a variable obeying a chi-squared distribution. If Z 1 , … , Z k {\displaystyle...

theory using Gaussian discriminant analysis, is given by the generalized chi-squared distribution. The probability content within any general domain defined...

Gamma distribution, and it is used in goodness-of-fit tests in statistics. The inverse-chi-squared distribution The noncentral chi-squared distribution The...

A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are...

Pearson's chi-squared test or Pearson's χ 2 {\displaystyle \chi ^{2}} test is a statistical test applied to sets of categorical data to evaluate how likely...

the distribution simplifies to the chi-squared distribution with 2k degrees of freedom. It can therefore be regarded as a generalized chi-squared distribution...

{\textstyle |X-\mu |/\sigma \sim \chi _{1}} . The square of X / σ {\textstyle X/\sigma } has the noncentral chi-squared distribution with one degree of freedom:...

a special case of the generalized chi-squared distribution. A related concept is the generalized near-integer gamma distribution (GNIG). The random variable...

distribution (a complex normal distribution is a bivariate normal distribution) Generalized chi-squared distribution Wishart distribution Complex random variable...

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

expected value of the squared deviation from the mean of a random variable. The standard deviation (SD) is obtained as the square root of the variance...

The symmetric generalized normal distribution, also known as the exponential power distribution or the generalized error distribution, is a parametric...

} . In addition, a quadratic form such as this follows a generalized chi-squared distribution. The case for general Λ {\displaystyle \Lambda } can be derived...

has a chi-squared distribution (χ2-distribution) with ν {\displaystyle \nu } degrees of freedom; Z and V are independent; A different distribution is defined...

chi-squared test) Student's t distribution, the distribution of the ratio of a standard normal variable and the square root of a scaled chi squared variable;...

model Generalized additive model for location, scale and shape Generalized beta distribution Generalized canonical correlation Generalized chi-squared distribution...

^{2}}{\nu }},} where the chi-squared is a weighted sum of squared deviations: χ 2 = ∑ i ( O i − C i ) 2 σ i 2 {\displaystyle \chi ^{2}=\sum _{i}{\frac...

Rayleigh distribution is a continuous probability distribution for nonnegative-valued random variables. Up to rescaling, it coincides with the chi distribution...

distribution, Erlang distribution, and chi-squared distribution are special cases of the gamma distribution. There are two equivalent parameterizations...

by an independent chi-distributed random variable, while the F-distribution originates from the ratio of two independent chi-squared distributed random...

with the squared lengths (or "sum of squares" of the coordinates) of such vectors, and the parameters of chi-squared and other distributions that arise...

Root mean square Squared deviations from the mean Charnes, A.; Frome, E. L.; Yu, P. L. (1976). "The Equivalence of Generalized Least Squares and Maximum...

be generalized hyperbolic at another point in time. In fact, the generalized Laplace distributions and the normal inverse Gaussian distributions are...

be easily generalized to the case where we condition upon linear constraints. This is the theoretical justification for Pearson's chi-squared test. Theorem...

the generalized beta distribution is a continuous probability distribution with four shape parameters, including more than thirty named distributions as...

can be used for binary data Pearson's chi-squared test, an alternative quality of fit statistic for generalized linear models for count data Peirce's...

Poisson distribution can be expressed using the relationship between the cumulative distribution functions of the Poisson and chi-squared distributions. The...