Is the Sum of Two Independant Chi-squared Distributions Again a Chi-squared Distribution?
journal commodity
The Annals of Probability
Published Past: Plant of Mathematical Statistics
https://world wide web. jstor .org/stable/2243514
We suggest several Chi squared approximations to the distribution of a sum of independent random variables, and derive asymptotic expansions which evidence that the error of approximation is of order n-1 as n → ∞. The error may be reduced to n-three/2 by making a elementary secondary approximation.
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Source: https://www.jstor.org/stable/2243514