Convergence of random variables
In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to statistics and stochastic processes. The same concepts are known in more general mathematics as stochastic convergence and they formalize the idea that a sequence of essentially random or unpredictable events can sometimes be expected to settle down into a behaviour that is essentially unchanging when items far enough into the sequence are studied. The different possible notions of convergence relate to how such a behaviour can be characterised: two readily understood behaviours are that the sequence eventually takes a constant value, and that val
Wikipage disambiguates
A.s. convergenceAlmost sure convergenceConverge in distributionConverge in lawConverge in probabilityConvergence in distributionConvergence in lawConvergence in meanConvergence in probabilityConvergence in quadratic meanConvergence of distributionsConvergence of random elementsConvergence of random variables/Proof that Convergence in probability implies convergence in distribution proofConvergence of random variables/Proof that convergence in probability implies convergence in distributionConverges in distributionConverges in probabilityIn probabilityL.i.m.Limit in meanLimit in the meanMean convergenceP-limProbability limitStochastic convergenceSure convergence
Wikipage redirect
primaryTopic
Convergence of random variables
In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to statistics and stochastic processes. The same concepts are known in more general mathematics as stochastic convergence and they formalize the idea that a sequence of essentially random or unpredictable events can sometimes be expected to settle down into a behaviour that is essentially unchanging when items far enough into the sequence are studied. The different possible notions of convergence relate to how such a behaviour can be characterised: two readily understood behaviours are that the sequence eventually takes a constant value, and that val
has abstract
Dans la théorie des probabilit ...... r un même espace probabilisé .
@fr
Em probabilidade, existem dife ...... ço de probabilidade (Ω, F, P).
@pt
In de kansrekening kan converg ...... gedefinieerd op een kansruimte
@nl
In der Stochastik existieren v ...... im Folgenden kurz vorgestellt.
@de
In probability theory, there e ...... ging probability distribution.
@en
In teoria della probabilità e ...... ariabili casuali multivariate.
@it
Zbieżność według rozkładu – je ...... wany czasem słabą zbieżnością.
@pl
Сходи́мость по распределе́нию в теории вероятностей — вид сходимости случайных величин.
@ru
数学の確率論の分野において、確率変数の収束（かくりつへんすう ...... 率分布によってその変動が表現される、というようなものである。
@ja
正如一个数列可能收敛到某个极限量，一列函数可能收敛到某个极限 ...... 。这些不同的极限的定义，可以严格地写成不同的收敛方式的定义。
@zh
Wikipage page ID
Wikipage revision ID
736,690,250
bodystyle
data
As grows larger, this distrib ...... ebrated central limit theorem.
As the factory is improved, th ...... ibution more and more closely.
Consider a man who tosses seve ...... ver, he will stop permanently.
Consider an animal of some sho ...... will stay zero forever after.
However, when we consider any ...... ting condition will not occur.
Let be the fraction of heads ...... all be distributed binomially.
Let X1, X2, … be the daily amounts the charity received from him.
Note that does not converge a ...... ng increasingly less frequent.
Suppose is an iid sequence of ...... e Gaussian curve.
center|200px
Suppose a new dice factory has ...... desired uniform distribution.
datastyle
text-align: left;
header
Graphic example
Height of a person
headerstyle
background-color: lightblue; text-align: left; padding-left: 3pt;
background-color: lightblue; text-align:left;
title
Examples of almost sure convergence
Examples of convergence in distribution
Examples of convergence in probability
comment
Dans la théorie des probabilit ...... oi forte des grands nombres. .
@fr
Em probabilidade, existem dife ...... nte teorema do limite central.
@pt
In de kansrekening kan converg ...... gedefinieerd op een kansruimte
@nl
In der Stochastik existieren v ...... im Folgenden kurz vorgestellt.
@de
In probability theory, there e ...... a constant value, and that val
@en
In teoria della probabilità e ...... endono ad altre distribuzioni.
@it
Zbieżność według rozkładu – je ...... wany czasem słabą zbieżnością.
@pl
Сходи́мость по распределе́нию в теории вероятностей — вид сходимости случайных величин.
@ru
数学の確率論の分野において、確率変数の収束（かくりつへんすう ...... 率分布によってその変動が表現される、というようなものである。
@ja
正如一个数列可能收敛到某个极限量，一列函数可能收敛到某个极限 ...... 。这些不同的极限的定义，可以严格地写成不同的收敛方式的定义。
@zh
label
Convergence de variables aléatoires
@fr
Convergence of random variables
@en
Convergentie (kansrekening)
@nl
Convergenza di variabili casuali
@it
Convergência de variáveis aleatórias
@pt
Konvergenz (Stochastik)
@de
Zbieżność według rozkładu
@pl
Сходимость по распределению
@ru
確率変数の収束
@ja
随机变量的收敛
@zh
