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Martin Sleziak
Martin Sleziak
12:10 AM
"This tag is for questions pertaining to the probabilistic/statistical theory of extreme deviations from the median of probability distributions. A central result of this theory is the Fisher–Tippett–Gnedenko theorem. It is not to be confused with the extreme-value-theorem tag that refers to a theorem for real valued continuous functions on a closed and bounded interval."
1
Q: Block size BMM when modeling Generalized Extreme Value distribution

Mr. NI'm an Operations Research student who's trying to wrap his mind around extreme value theory. I've read into EVT and more specific into the first theorem of Fisher, Tippett and Gnedenko. In their modeling approach, they apply block maximum modeling (BMM) in order to partition data in m clusters...

extreme-value-analysis
1
Q: EVT: correlation standard normal distribution and Gumbel distribution

marocinhoThe standard normal distribution given here by $F$, satisfies the following limit: $$ n(1-F(a_n x+b_n)) \rightarrow e^{-x} \;\;\text{ as }\;\; n \rightarrow \infty$$ with $$b_n=(2\log(n)+\log(\log(n))+\log(4\pi))^{1/2}$$ and $$a_n=\frac{1}{b_n}$$ How do I show that? By using the fact t...

normal-distribution risk-assessment extreme-value-analysis
Extreme value theory
Extreme value theory or extreme value analysis (EVA) is a branch of statistics dealing with the extreme deviations from the median of probability distributions. It seeks to assess, from a given ordered sample of a given random variable, the probability of events that are more extreme than any previously observed. Extreme value analysis is widely used in many disciplines, such as structural engineering, finance, earth sciences, traffic prediction, and geological engineering. For example, EVA might be used in the field of hydrology to estimate the probability of an unusually large flooding event...
 
 
8 hours later…
Martin Sleziak
Martin Sleziak
8:09 AM
0
A: What is the homogeneous-elements tag supposed to be used for?

EnjoysMathIf you google "homogeneous elements in algebra". You'll get many hits. Here's one on wikipedia: Properties of Graded Rings. Of course they're referring to homogenous polynomials which of course is way more common. Can anyone reason why they use the "elements" form instead? Anyway, googling ...

Probably because it makes sense beyond polynomials. For example, tensors form a graded algebra, and the rank-$n$ tensors are the homogeneous elements of the tensor algebra, yet nobody would normally consider e.g. a rank-2 tensor a polynomial of degree 2. — celtschk 9 hours ago
For everything beyond polynomials, though, the graded-rings or graded-modules or graded-algebras tags would do just as well; the polynomial case is the only one that people unfamiliar with general graded whatevers are likely to need. — Misha Lavrov 8 hours ago
@MishaLavrov Do you think creating (homogeneous-polynomials) and adding a synonym between this new tag and (homogeneous-elements) would be a reasonable way to go. (In this way, we would have a single tag which encompasses both the more frequent usage and the more general one.) Or. if the tag for homogeneous polynomials is created, would it be better to keep the two tags separate? — Martin Sleziak 37 secs ago
 
 
3 hours later…
Feeds
Feeds
11:35 AM
2
Q: Is the tag [venn-diagram] necessary?

Asaf KaragilaRecently the tag venn-diagram was created, with a tag wiki, and currently 20 questions tagged (although 19 of which were tagged by the creator shortly after). Do we really need this tag? On the one hand, it is going to be helpful in filtering questions which are specifically about Venn diagrams...

discussion tagging
 
 
2 hours later…
Martin Sleziak
Martin Sleziak
1:32 PM
@MartinSleziak If a homogeneous-polynomials tag exists for the specific usage (and graded-algebras exists for the general) then I don't see a reason to keep homogeneous-elements around at all, unless this makes the transition process more convenient somehow. — Misha Lavrov 29 secs ago
 
 
7 hours later…
Martin Sleziak
Martin Sleziak
8:55 PM
@MartinSleziak: I don't see any reason for either of those tags to exist. They are almost completely redundant with graded-rings, graded-algebras, and graded-modules. To the extent that homogeneous polynomials are a topic of interest in a less ring-theoretic setting, polynomials should do just fine for them. (Incidentally, graded-algebras and graded-rings should probably be made synonyms, though I'm not sure which should be the master.) — Eric Wofsey 23 mins ago
Actually, I might propose making a single tag graded-algebra for all graded algebraic objects and making graded-rings, graded-modules, and graded-algebras all synonyms of it. — Eric Wofsey 15 mins ago
 

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