Chi Square Distribution Formula. More generally if chi i 2 are independently distributed according to a chi 2 distribution with r 1 r 2 r k degrees of freedom then sum j 1 kchi j 2 2 is distributed according to chi 2 with. Therefore 6 6 24 2 6 24 0 0092.
More generally if chi i 2 are independently distributed according to a chi 2 distribution with r 1 r 2 r k degrees of freedom then sum j 1 kchi j 2 2 is distributed according to chi 2 with. The formula for the cumulative distribution function of the chi square distribution is f x frac gamma frac nu 2 frac x 2 gamma frac nu 2. A positive integer k that specifies the number of degrees of freedom the number of zi s.
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A positive integer k that specifies the number of degrees of freedom the number of zi s. This makes a chi 2 distribution a gamma distribution with theta 2 and alpha r 2 where r is the number of degrees of freedom. Displaystyle q sim chi 2 k text or q sim chi k 2 the chi square distribution has one parameter. Q χ 2 k or q χ k 2.
