Thread: non central t distribution

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|

Hi,

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|.