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Timeline for What does a ratio of PDFs mean?

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Jul 30, 2022 at 22:01 history edited kjetil b halvorsen
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Nov 5, 2021 at 0:56 answer added kjetil b halvorsen timeline score: 3
Nov 5, 2021 at 0:51 history edited kjetil b halvorsen
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Jul 19, 2020 at 12:25 comment added develarist any more on this? and whether the pdf/cdf ratio is actually adopted in any applications
Sep 13, 2017 at 1:23 history tweeted twitter.com/StackStats/status/907776805217632256
Apr 13, 2017 at 12:44 history edited CommunityBot
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Feb 14, 2017 at 13:43 comment added PM. @JeremiasK Indeed and that rescaling adds some interpretability I think. If I say $r=1$ I know this is a likely observation but if I say $f=1$ then I can't conclude anything?
Feb 14, 2017 at 11:52 comment added Jeremias K You just rescaled the probability density of $f$ by the magnitude of the mode. So the resulting function $r(x)$ is still a density for the random variable in question, albeit not a probability density. This could of course be alleviated by multiplying $r(x)$ by the magnitude of the mode. So you are actually just using a rescaled version of the probability density.
Feb 14, 2017 at 11:50 comment added PM. @kjetilbhalvorsen Yes. I have seen likelihoods for parameters of a distribution, so it seems this is a different context. Are you saying this ratio could be defined as "the likelihood ratio for the observation relative to the mode" ?
Feb 14, 2017 at 11:15 comment added kjetil b halvorsen In some contects, a ratio of pdf's is a likelihood ratio.
Feb 14, 2017 at 11:11 history edited PM. CC BY-SA 3.0
Added a figure and some text about my interpretation.
Feb 10, 2017 at 16:29 history edited PM. CC BY-SA 3.0
added formula to be more concrete about the ratio of interest
Feb 8, 2017 at 14:55 review First posts
Feb 8, 2017 at 15:24
Feb 8, 2017 at 14:55 history asked PM. CC BY-SA 3.0