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[[Category:Theorems in probability theory]] [[Category:Theorems in statistics]] ...

#REDIRECT [[Copula (statistics)#Sklar's theorem]] [[Category:Theorems in probability theory]] ...

[[:Category:Probability and statistics|Probability and statistics]] | [[:Category:Statistics|Statistics]] | ...

...m of curves]] describes classification of [[Regular curve|regular curves]] in space up to [[Translation (geometry)|translation]] and [[rotation]]. ...as a stepping stone to a larger result, rather than as a useful statement in-and-of itself. ...

'''Statistical regularity''' is a notion in [[statistics]] and [[probability theory]] that random events exhibit regularity when rep ...ographic statistics]], [[quality control]] of a manufacturing process, and in many other parts of our lives. ...

{{Short description|Result in probability theory}} In [[probability theory]], '''Lévy’s continuity theorem''', or '''Lévy's conve ...

'''Chebyshev's theorem''' is any of several theorems proven by Russian mathematician [[Pafnuty Chebyshev]]. ...ev's inequality]], on the range of standard deviations around the mean, in statistics ...

...ory)#Submartingales and supermartingales|submartingale]] may be decomposed in a unique way as the sum of a [[Martingale (probability theory)|martingale] ...as the Doob-Meyer decomposition.<ref>Meyer 1962</ref><ref>Meyer 1963</ref> In honor of Doob, Meyer used the term "class D" to refer to the class of super ...

...inition is found below. Empirical measures are relevant to [[mathematical statistics]]. ...ely. These are uniformly good estimates under certain conditions. Theorems in the area of [[empirical process]]es provide rates of this convergence. ...

{{Short description|Stochastic process in probability theory}} In [[probability theory]], an '''empirical process''' is a [[stochastic proces ...

{{Short description|Statement in probability theory}} In [[probability theory]], '''Donsker's theorem''' (also known as '''Donsker's ...

In [[probability theory]], '''Le Cam's theorem''', named after [[Lucien Le Cam ...son distribution]] and the above inequality bounds the approximation error in terms of the [[Total variation distance of probability measures|total varia ...

....com/books?id=wOxoFIa7NeYC&q=%22pooled+degrees+of+freedom%22&pg=PA68|title=Statistics for terrified biologists|date=2008|publisher=Blackwell Pub|isbn=978-1-4443- ...is a real positive number, typically <math> k_i=\frac{1}{\nu_i+1}</math>. In general, the [[probability distribution]] of {{math|''χ'''}} cannot be expr ...

== Mathematics in electronics engineering == ...<ref>{{Citation |title=Preface |date=1986-01-31 |work=Mathematical Methods in Electrical Engineering |pages=vii–viii |url=http://dx.doi.org/10.1017/cbo97 ...

...urnal |last=Cramér |first=H. |last2=Wold |first2=H. |date=1936 |title=Some Theorems on Distribution Functions |url=http://doi.wiley.com/10.1112/jlms/s1-11.4.29 ...h> [[Convergence_of_random_variables#Convergence_in_distribution|converges in distribution]] to <math> {X} </math> if and only if: ...

{{Short description|Theorem in probability theory}} In [[probability theory]], '''Slutsky's theorem''' extends some properties of ...

{{About|Bochner's theorem in [[harmonic analysis]]|Bochner's theorem in Riemannian geometry|Bochner's theorem (Riemannian geometry)}} ...]] of a positive finite [[Borel measure]] on the real line. More generally in [[harmonic analysis]], Bochner's theorem asserts that under Fourier transfo ...

The theorem was proved in the case of projective planes by {{Harvtxt|Bruck|Ryser|1949}}. It was exten ...> + ''q'' + 1, ''r'' = ''k'' = ''q'' + 1, λ = 1. Thus, ''v'' is always odd in this case. ...

...ty) is called the probability. Probability theory is used extensively in [[statistics]], [[mathematics]], [[science]] and [[philosophy]] to draw conclusions abou (Related topics: [[set theory]], [[simple theorems in the algebra of sets]]) ...

| image = <!-- Deleted image removed: [[Image:CharlesStein in color.jpg|frame|right|'''''Charles Stein''''']] --> <!--(filename only, i.e | fields = [[Statistics]] ...