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In probability theory, an empirical measure is a random measure arising from a particular realization of a (usually finite) sequence of random variables. The precise definition is found below. Empirical measures are relevant to mathematical statistics.

Attributes	Values
rdfs:label	Empirical measure (en) Mesure empirique (fr)
rdfs:comment	En probabilité, la mesure empirique est une mesure aléatoire calculée à partir de la réalisation d'un échantillon, c'est-à-dire de la réalisation d'une séquence de variables aléatoires. Cette notion est très utilisée en statistique. La motivation principale de l'étude de cette mesure vient du fait qu'elle nous permet de connaître la mesure de probabilité réelle qui est inconnue. Les théorèmes concernant les processus empiriques permettent de donner les vitesses de convergence de cette mesure. (fr) In probability theory, an empirical measure is a random measure arising from a particular realization of a (usually finite) sequence of random variables. The precise definition is found below. Empirical measures are relevant to mathematical statistics. (en)
dcterms:subject	Measures (measure theory) Empirical process
Wikipage page ID	5647670 (xsd:integer)
Wikipage revision ID	1081371348 (xsd:integer)
Link from a Wikipage to another Wikipage	Multinomial distribution Random measure Almost surely Annals of Mathematical Statistics Annals of Probability Bias of an estimator Vapnik Empirical process Empirical risk minimization Mathematical statistics Measurable function Partition of a set Probability theory Random variable Measures (measure theory) Covariance matrix Law of large numbers Binomial distribution Dirac measure Empirical mean Iid Indicator function Empirical process Poisson random measure Probability measure Independent random variables Chervonenkis Relative frequencies Glivenko–Cantelli class
sameAs	Empirical measure Empirical measure Empirical measure Empirical measure
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_journal dbt:Main dbt:More_footnotes dbt:Reflist
has abstract	In probability theory, an empirical measure is a random measure arising from a particular realization of a (usually finite) sequence of random variables. The precise definition is found below. Empirical measures are relevant to mathematical statistics. The motivation for studying empirical measures is that it is often impossible to know the true underlying probability measure . We collect observations and compute relative frequencies. We can estimate , or a related distribution function by means of the empirical measure or empirical distribution function, respectively. These are uniformly good estimates under certain conditions. Theorems in the area of empirical processes provide rates of this convergence. (en) En probabilité, la mesure empirique est une mesure aléatoire calculée à partir de la réalisation d'un échantillon, c'est-à-dire de la réalisation d'une séquence de variables aléatoires. Cette notion est très utilisée en statistique. La motivation principale de l'étude de cette mesure vient du fait qu'elle nous permet de connaître la mesure de probabilité réelle qui est inconnue. Les théorèmes concernant les processus empiriques permettent de donner les vitesses de convergence de cette mesure. (fr)
prov:wasDerivedFrom	wikipedia-en:Empirical_measure?oldid=1081371348&ns=0
page length (characters) of wiki page	5933 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Empirical_measure
is Link from a Wikipage to another Wikipage of	Sanov's theorem Particle filter Resampling (statistics) List of probability topics Mean-field particle methods Generative adversarial network Empirical distribution function Generative model Monte Carlo method Empirical evidence Empirical probability Empirical process Empirical risk minimization Central tendency Glivenko–Cantelli theorem Queueing theory John Ioannidis Autoencoder Empirical (disambiguation) Empirical distribution Catalog of articles in probability theory List of statistics articles Point process Evidence lower bound
is Wikipage disambiguates of	Empirical (disambiguation)
is foaf:primaryTopic of	wikipedia-en:Empirical_measure

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