Abstract
Let pν(t,δ)pν(t,δ) be the density at tt of a noncentral tt-variable with νν degrees of freedom and noncentrality parameter δδ. It is proved that for any d>0d>0 and fixed t,pν(t,δ+d)/pν(t,δ) is a strictly decreasing function of δ.
Citation
Robert A. Wijsman. "Monotonicity in the Noncentrality Parameter of the Ratio of Two Noncentral t-Densities." Ann. Statist. 11 (3) 1008 - 1010, September, 1983. https://doi.org/10.1214/aos/1176346269
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