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modified distribution from f distribution

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shimazhuang

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as we know, if X and Y are independent Chi-squared distribution, then (X/d1)/(Y/d2) will be a F-ditribution F(d1,d2). if we add a constant (a) to the denominator, what distribution the (X/d1)/(Y/d2+a) will be? thx for help.
 

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