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In mathematics, a probability measure is a real-valued function defined on a set of events in a probability space that satisfies measure properties such as countable additivity. The difference between a probability measure and the more general notion of measure (which includes concepts like area or volume) is that a probability measure must assign value 1 to the entire probability space. Probability measures have applications in diverse fields, from physics to finance and biology.

Attributes	Values
rdf:type	Thing disease
rdfs:label	Probability measure (en)
rdfs:comment	In mathematics, a probability measure is a real-valued function defined on a set of events in a probability space that satisfies measure properties such as countable additivity. The difference between a probability measure and the more general notion of measure (which includes concepts like area or volume) is that a probability measure must assign value 1 to the entire probability space. Probability measures have applications in diverse fields, from physics to finance and biology. (en)
sameAs	Probability measure
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Cite_book dbt:Commons_category-inline dbt:Math dbt:Reflist dbt:Short_description dbt:Use_American_English dbt:Probability_fundamentals
Subject	Experiment (probability theory) Measures (measure theory)
Link from a Wikipa... related subject.	dbpedia-pl:Miara_probabilistyczna
gold:hypernym	Function
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Probability_measure?oldid=1053015721&ns=0
Wikipage page ID	45437 (xsd:integer)
page length (characters) of wiki page	6630 (xsd:nonNegativeInteger)
Wikipage revision ID	1053015721 (xsd:integer)
has abstract	In mathematics, a probability measure is a real-valued function defined on a set of events in a probability space that satisfies measure properties such as countable additivity. The difference between a probability measure and the more general notion of measure (which includes concepts like area or volume) is that a probability measure must assign value 1 to the entire probability space. Intuitively, the additivity property says that the probability assigned to the union of two disjoint events by the measure should be the sum of the probabilities of the events, e.g. the value assigned to "1 or 2" in a throw of a die should be the sum of the values assigned to "1" and "2". Probability measures have applications in diverse fields, from physics to finance and biology. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Probability_measure
is Wikipage redirect of	Probability Measure Measure (probability)
is Link from a Wikipage to another Wikipage of	Fleming–Viot process Franck Barthe Green measure Locally finite measure Loewner's torus inequality Logistic map Maharam algebra Noncommutative topology Nuclear space Null set Algebra of random variables Amenable group Banach space Bell's theorem Bellman equation Besov measure Black–Scholes model Bochner's theorem Boltzmann distribution Boole's inequality Borel measure Borel set Bounded variation Brownian model of financial markets Cantelli's inequality Boltzmann distribution Glivenko–Cantelli theorem Glossary of engineering: M–Z Glossary of probability and statistics Glossary of set theory Diet and cancer Dirac delta function Dirac measure Disintegration theorem Distortion function Distortion risk measure Doob's martingale inequality Krylov–Bogolyubov theorem Kullback–Leibler divergence Metastate Chaitin's constant Chinese restaurant process Choquet theory Credal set Cylinder set measure Cylindrical σ-algebra Càdlàg Dawson–Gärtner theorem Denjoy–Koksma inequality Density matrix Hopfield network Hutchinson metric K. R. Parthasarathy (probabilist) Khinchin's constant List of mathematical symbols by subject Coherent risk measure Commutation theorem for traces Commuting probability Comonotonicity Compact group Conditional probability Conditional probability distribution Consistent pricing process Contiguity (probability theory) Continuous game Contraction principle (large deviations theory) Convergence of measures Convex measure Convolution Convolution power Covariance operator Cramér–Wold theorem Conditional event algebra Empirical measure Energy distance

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