In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...
A new asymptotic expansion is derived for the incomplete beta function I(a, b, x), which is suitable for large a, small b and $x > 0.5$. This expansion is of the form ...
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