and statistics, the chi distribution is a continuous probability distribution over the non-negative real line. It is the distribution of the positive square...

probability theory and statistics, the chi-squared distribution (also chi-square or χ 2 {\displaystyle \chi ^{2}} -distribution) with k {\displaystyle k} degrees...

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

statistics, the inverse-chi-squared distribution (or inverted-chi-square distribution) is a continuous probability distribution of a positive-valued random...

statistical tests where the chi-squared distribution is approximately valid: For an exact test used in place of the 2 × 2 chi-squared test for independence...

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

statistical procedures whose results are evaluated by reference to the chi-squared distribution. Its properties were first investigated by Karl Pearson in 1900...

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

The scaled inverse chi-squared distribution ψ inv- χ 2 ( ν ) {\displaystyle \psi \,{\mbox{inv-}}\chi ^{2}(\nu )} , where ψ {\displaystyle \psi } is the...

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

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

statistical distribution of speeds is derived by equating particle energies with kinetic energy. Mathematically, the Maxwell–Boltzmann distribution is the chi distribution...

Look up Chi, chi, Appendix:Variations of "chi", Χ, or χ in Wiktionary, the free dictionary. Chi or CHI may refer to: Chi (letter) (Χ or χ), the twenty-second...

t-distribution Noncentral chi-squared distribution Noncentral chi-distribution Noncentral F-distribution Noncentral beta distribution In general, noncentrality...

parametrize the inverse gamma distribution differently, as a scaled inverse chi-squared distribution. The inverse gamma distribution's probability density function...

for large values of λ {\textstyle \lambda } . The chi-squared distribution χ 2 ( k ) {\textstyle \chi ^{2}(k)} is approximately normal with mean k {\textstyle...

distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and chi-squared...

of chi-distribution, similar to a gamma distribution being considered as a generalization of chi-squared distributions. The Nakagami distribution is relatively...

p ) {\displaystyle \chi _{k}^{2}(p)} is the quantile function for probability p {\displaystyle p} of the chi-squared distribution with k {\displaystyle...

and U 2 {\textstyle U_{2}} are independent random variables with chi-square distributions with respective degrees of freedom d 1 {\textstyle d_{1}} and d...

\operatorname {K} (\alpha ,\beta )} (K-distribution) If also λ = 1/2 then X ∼ χ2 2; i.e., X has a chi-squared distribution with 2 degrees of freedom. Hence:...

characteristics related to the chi-squared distribution. Let random variable Y be defined as Y = X2 where X has normal distribution with mean 0 and variance...

normal distribution) If Y has a half-normal distribution, then (Y/σ)2 has a chi square distribution with 1 degree of freedom, i.e. Y/σ has a chi distribution...

sampling distribution of the sample standard deviation follows a (scaled) chi distribution, and the correction factor is the mean of the chi distribution. An...

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

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

the term chi-squared or χ 2 {\displaystyle \chi ^{2}} has various uses, including the chi-squared distribution, the chi-squared test, and chi-squared target...

The term chi-square, chi-squared, or χ 2 {\displaystyle \chi ^{2}} has various uses in statistics: chi-square distribution, a continuous probability distribution...

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

from identical distributions (see Kolmogorov–Smirnov test), or whether outcome frequencies follow a specified distribution (see Pearson's chi-square test)...