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Timeline for minimum cdf given mean and variance

Current License: CC BY-SA 3.0

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Jan 11, 2016 at 0:59 history edited Glen_b
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Jan 3, 2016 at 22:06 answer added Glen_b timeline score: 2
Jan 3, 2016 at 14:09 comment added whuber @Glen_b I was hoping that the triviality of the question was due to some typographical error or misunderstanding, but since it hasn't substantially changed through several edits, I have to agree with you: we might as well answer it as it stands.
Jan 3, 2016 at 14:07 history reopened whuber
Jan 3, 2016 at 0:24 comment added Glen_b I think the question is perfectly clear and answerable as it stands. I don't see the difficulty here; the proposed result is obviously false -- an answer would consist simply of any of the (completely obvious) counterexamples. (Yes, it may be that the actual question is different from what was asked - so let's just answer this one and let the OP ask a new one if that turns out to be the case). I have an answer ready to go.
Jan 3, 2016 at 0:05 review Reopen votes
Jan 3, 2016 at 0:31
Jan 2, 2016 at 23:45 history edited omdsoimoin CC BY-SA 3.0
edited body
Jan 2, 2016 at 23:38 comment added gung - Reinstate Monica Like @whuber I have no earthly idea what your edit might mean. We usually denote the CDF $F(x)$ (& for the normal distribution, $\Phi(x)$). By definition, the CDF outputs a value in $[0,1]$, whether the distribution is normal or not. The PDF is denoted $f(x)$ (/ $\phi(x)$ for a normal). It is most typically thought of as the derivative of the CDF.
Jan 2, 2016 at 23:35 comment added omdsoimoin @whuber, can you explain why the argument in my question ins't right?
Jan 2, 2016 at 23:20 comment added whuber en.wikipedia.org/wiki/…
Jan 2, 2016 at 23:18 comment added omdsoimoin @whuber, can you elaborate? If what that I try to prove isn't correct, can you explain why?
Jan 2, 2016 at 22:34 comment added whuber Asking for such a lower bound makes so little sense that I wonder whether you might be confusing it with the differential entropy.
Jan 2, 2016 at 22:33 history closed Tim
whuber
Needs details or clarity
Jan 2, 2016 at 22:06 comment added omdsoimoin I edited the question with more formal details.
Jan 2, 2016 at 22:05 history edited omdsoimoin CC BY-SA 3.0
added 166 characters in body
Jan 2, 2016 at 21:55 review Close votes
Jan 2, 2016 at 22:37
Jan 2, 2016 at 21:50 comment added gung - Reinstate Monica I don't quite follow this. What do you mean by "min $cdf$"? The minimum for a population that is truly distributed as a normal is $-\infty$, so that would be lower than any finite minimum by definition, but I don't know if that is what you are asking about.
Jan 2, 2016 at 21:33 review First posts
Jan 2, 2016 at 21:50
Jan 2, 2016 at 21:32 history asked omdsoimoin CC BY-SA 3.0