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

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

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

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

conjugate prior of the variance has an inverse gamma distribution or a scaled inverse chi-squared distribution. The two are equivalent except for having...

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

{\displaystyle \ \tau ^{2}~.} The scaled-inverse-chi-squared distribution is exactly the same distribution as the inverse gamma distribution, but with a different...

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

{\displaystyle X\,\sim \,\operatorname {Scale-inv-\chi ^{2}} (1,c)} (scaled-inverse-chi-squared distribution). If X ∼ Levy ⁡ ( μ , c ) {\displaystyle...

t-distribution was defined in terms of a scaled-inverse-chi-squared distribution placed on the variance. However, it is more common to use an inverse gamma...

Sazonov's theorem Saturated array Scale analysis (statistics) Scale parameter Scaled-inverse-chi-squared distribution Scaling pattern of occupancy Scatter...

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

In statistics, the inverse Wishart distribution, also called the inverted Wishart distribution, is a probability distribution defined on real-valued positive-definite...

In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures...

negative. Other inverse distributions include inverse-chi-squared distribution inverse-gamma distribution inverse-Wishart distribution inverse matrix gamma...

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;...

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

\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:...

theory, the inverse Gaussian distribution (also known as the Wald distribution) is a two-parameter family of continuous probability distributions with support...

T-squared distribution (T2), proposed by Harold Hotelling, is a multivariate probability distribution that is tightly related to the F-distribution and...

calculation gives a scaled inverse chi-squared distribution with n − 1 degrees of freedom for the posterior probability distribution of σ2. The expected...

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

{\sigma {\sqrt {2}}}{\sqrt {\pi }}}} . Alternatively using a scaled precision (inverse of the variance) parametrization (to avoid issues if σ {\displaystyle...

{\displaystyle 2}{b}}\sum _{i=1}^{n}|X_{i}-\mu |\sim \chi ^{2}(2n)} (chi-squared distribution). If X , Y ∼ Laplace ( μ , b ) {\displaystyle X,Y\sim {\textrm...

be described as a scaled inverse chi-squared distribution, Scale-inv- χ 2 ( v 0 , s 0 2 ) . {\displaystyle {\text{Scale-inv-}}\chi ^{2}(v_{0},s_{0}^{2})...

approximation to the theoretical chi-squared distribution for the G-test is better than for the Pearson's chi-squared test. In cases where   O i > 2 ⋅...

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

it is apparent from the fact that for the chi-squared distribution the excess kurtosis is 12/k and the square of the skewness is 8/k, hence (excess kurtosis...

..122..879K. doi:10.1039/a700902j. Palmer, David M. (2009). "A Fast Chi-squared Technique For Period Search of Irregularly Sampled Data". The Astrophysical...

regression models (or logit models). Alternatively, the inverse of any continuous cumulative distribution function (CDF) can be used for the link since the...