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Timeline for Ratio of CDFs $F(x)/x$ property

Current License: CC BY-SA 3.0

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Oct 10, 2014 at 23:52 comment added Sergio Parreiras @whuber If Y is uniform $[0,b]$ and $F=F_X$ is the CDF of X then $F(x)/x$ is proportional to $F_X(x)/F_Y(x)$. In the case $a=0$: $F(x)/x$ increasing means $X$ is dominated by Y in the reverse hazard rate; $F(x)/x$ decreasing means $Y$ is dominated by $X$ in the reversed hazard rate.
Oct 10, 2014 at 15:14 comment added whuber It is unclear how this is related to your $F(x)/x$ condition in any more than a rough, qualitative way. Could you be more explicit about that?
Oct 10, 2014 at 15:11 history answered Sergio Parreiras CC BY-SA 3.0