How does the chi | gamma distribution chi square distribution
TheGammadistributionisactuallyafamilyofparametrizeddistributionsofwhichtheChi-Squareddistributionisone.Thegammadistributionhastwoparameters,oftenwrittenas#k#and#theta#:#Gamma(k,theta)#Where#k#iscalledtheshapeand#theta#iscalledthescale.TogettheChi-Squareddistribution,wefixthescaleto#2#andsettheshapeequaltothedegreesoffreedomdividedby#2#:#chi2(nu)=Gamma(nu//2,2)#Gammadistribution:FromWikipedia,thefreeencyclopedia[1]ReferencesGammadistribution:FromWikipedia,thefreeencyclopedia(en.wikipedia.org)
The Gamma distribution is actually a family of parametrized distributions of which the Chi-Squared distribution is one. The gamma distribution has two parameters, often written as #k# and #theta#:
#Gamma(k,theta)#
Where #k# is called the shape and #theta# is called the scale. To get the Chi-Squared distribution, we fix the scale to #2# and set the shape equal to the degrees of freedom divided by #2#:
#chi2(nu)=Gamma(nu//2,2)#
Gamma distribution: From Wikipedia, the free encyclopedia[1]
References Gamma distribution: From Wikipedia, the free encyclopedia (en.wikipedia.org)