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Jun
7
comment Lacking of scale and distribution moments
yes i know this property, but i am talking of distributions. As you almost surely knows every distribution with not finite variance behaves asymptotically as a power law (stable distributions). Anyway you almost convinced me.
Jun
5
comment Lacking of scale and distribution moments
@LubosMotl well, can you post a reference?
Jun
5
revised Lacking of scale and distribution moments
improved informations
Jun
5
comment Lacking of scale and distribution moments
@LuboŇ°Motl i'm sorry but i strongly disagree with your argumentation, if they are scale free you cannot take any dimensional argument as possible solution.
Jun
5
comment Lacking of scale and distribution moments
@Lubos Moti ...i don't agree. Imagine a random variable y that is power law distributed (You say that there is not a characteristic scale due scaling property). If i take a sum of N random power law distributed variables, the resulting distribution lacks the power law shape. From your point of view this means that the sum of N scale free random variable can generate a non scale free random variable. mmm I don't think so.
Jun
5
asked Lacking of scale and distribution moments
Jun
1
accepted Rainfalls and critical phenomena
May
29
comment Identifying a critical phenomena?
i think so. the problem is that to show that the mean or variance in the data are not finite is not trivial.
May
28
revised Identifying a critical phenomena?
fixed informations.
May
28
revised Identifying a critical phenomena?
fixed informations.
May
28
asked Rainfalls and critical phenomena
May
28
answered Identifying a critical phenomena?
May
28
revised Wick rotation and the arrow of time
improved informations
May
23
asked Wick rotation and the arrow of time
May
14
asked Upper limit on the earthquake magnitude
May
9
comment The meaning of scale invariance in power law distribution
you can build distribution without mean and variance that are not scale invariant. See stable distributions on wikipedia.
May
9
comment The meaning of scale invariance in power law distribution
I think that there is an error on your changing the limits of integration.
May
8
awarded  Commentator
May
8
comment The meaning of scale invariance in power law distribution
Yes of course. There are boundaries in integration. I have omitted because the does not matters on the derivation of the property. I don't want to prove nothing. I would like to know the meaning of first scale property, if any.
May
8
revised The meaning of scale invariance in power law distribution
edited body; edited title