Timeline for Is there a relationship between Entropy of a fininte distrete probability distribution and the squre sum of the values of probability mass function of that distribution?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 15, 2013 at 22:02 | vote | accept | gstar2002 | ||
| Jan 8, 2013 at 16:54 | answer | added | R W | timeline score: 6 | |
| Jan 6, 2013 at 21:51 | comment | added | gstar2002 | and I think for the case n = 2, it is true. | |
| Jan 6, 2013 at 10:42 | comment | added | gstar2002 | @Anthony I am not sure, if it can be ture under this specific condiction. | |
| Jan 6, 2013 at 4:07 | comment | added | Anthony Quas | Certainly not as you ask it. If h(a)>h(b) implied |a|_2<|b|_2, then h(b)>h(a) would imply |b|_2<|a|_2 and you would get h(a)>h(b) if and only if |a|_2<|b|_2. This would mean that the entropy and the L2 norm are measuring the same thing (they're not). | |
| Jan 6, 2013 at 4:05 | history | edited | Anthony Quas | CC BY-SA 3.0 |
replace a_i with b_i's on the left side of the inequality
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| Jan 6, 2013 at 1:48 | history | asked | gstar2002 | CC BY-SA 3.0 |