prove that for all natural numbers r, chi squared ( 2 r ) = t (...

Question

Question

prove that for all natural numbers r, chi squared ( 2 r ) = t ( r, 1/2 )

Answer 1

Answer #1

Observe that the PDF of chi square and Gamma is

Then for ,

Hence, for all natural numbers r, ( 2 r ) = ( r, 1/2 )

Answer 2

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