I have been very stuck with this problem.
tv(d) is non central t distribution with v degrees of freedom and non centrality parameter d
show for fixed x, P[|tv(d)|>x] is strictly increasing in |d|
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Chernoff's (or maybe Chebychev's) inequality will help you here.
yes, this looks a little bit like a chebychev's inequality but I don't see putting a bound on the function is gong to help proving it is increasing in |d|.
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