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In probability theory and statistics, given two jointly distributed random variables and , the conditional probability distribution of given is the probability distribution of when is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value of as a parameter. When both and are categorical variables, a conditional probability table is typically used to represent the conditional probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable.

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rdf:type	software
rdfs:label	Conditional probability distribution (en)
rdfs:comment	In probability theory and statistics, given two jointly distributed random variables and , the conditional probability distribution of given is the probability distribution of when is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value of as a parameter. When both and are categorical variables, a conditional probability table is typically used to represent the conditional probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable. (en)
sameAs	Conditional probability distribution Conditional probability distribution
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Equation_box_1 dbt:Refbegin dbt:Refend dbt:Refimprove dbt:Reflist dbt:Rp dbt:Dice
Subject	Theory of probability distributions Conditional probability
Link from a Wikipage to an external page	https://books.google.com/books%3Fid=a3gavZbxyJcC
thumbnail	wiki-commons:Special:FilePath/Multivariate_Gaussian.png?width=300
foaf:depiction
gold:hypernym	Distribution
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Conditional_probability_distribution?oldid=1070459025&ns=0
Wikipage page ID	504458 (xsd:integer)
page length (characters) of wiki page	10891 (xsd:nonNegativeInteger)
Wikipage revision ID	1070459025 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability density function Probability distribution Probability measure Probability theory Theory of probability distributions Bayes' theorem Borel–Kolmogorov paradox Radon–Nikodym theorem Statistics Categorical variable Conditional probability Plane (geometry) Conditional expectation Conditional probability Conditional probability table Conditional variance Conditioning (probability) Independence (probability theory) Indicator function Joint probability distribution Moment (mathematics) Likelihood function Marginal distribution Multivariate normal distribution Random variable Regular conditional probability
has abstract	In probability theory and statistics, given two jointly distributed random variables and , the conditional probability distribution of given is the probability distribution of when is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value of as a parameter. When both and are categorical variables, a conditional probability table is typically used to represent the conditional probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable. If the conditional distribution of given is a continuous distribution, then its probability density function is known as the conditional density function. The properties of a conditional distribution, such as the moments, are often referred to by corresponding names such as the conditional mean and conditional variance. More generally, one can refer to the conditional distribution of a subset of a set of more than two variables; this conditional distribution is contingent on the values of all the remaining variables, and if more than one variable is included in the subset then this conditional distribution is the conditional joint distribution of the included variables. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Conditional_probability_distribution
is rdfs:seeAlso of	Conditional probability
is Wikipage redirect of	Continuous conditional density Conditional density Conditional distribution Conditional probability density Conditional probability density function Conditional probability function
is Link from a Wikipage to another Wikipage of	List of statistics articles Logarithmically concave function Noise reduction Noncentral chi-squared distribution Noncentral hypergeometric distributions Normal-Wishart distribution Normal-gamma distribution Normal-inverse-Wishart distribution Numbers (season 1) Distribution learning theory Evidence lower bound An Essay towards solving a Problem in the Doctrine of Chances Bayes' theorem Bayes classifier Bayesian linear regression Behrens–Fisher distribution Benini distribution Boltzmann machine Borel–Kolmogorov paradox Ole Barndorff-Nielsen Brownian bridge CPD Catalog of articles in probability theory Categorical distribution Census General linear model Gibbs sampling Glossary of probability and statistics Dirichlet-multinomial distribution Dirichlet negative multinomial distribution Discriminative model Mutual information Channel capacity Cross section (geometry) De Broglie–Bohm theory De Finetti's theorem Linear classifier Line fitting List of probability topics Cluster-weighted modeling Compound probability distribution

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