Tail monotonicity properties of Student's family of distributions

Details Tail monotonicity properties of Student's family of distributions Tail monotonicity properties of Student's family of distributions

2011-01-17

arxiv.org/abs/1101.3289v1

Mathematics

Statistics Theory

3 pages

Scientific paper

Let G_p denote the tail function of Student's distribution with p degrees of
freedom. It is shown that the ratio G_q(x)/G_p(x) is decreasing in x>0 for any
p and q such that 0and all x>0.

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