About: Independence (probability theory)

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Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically independent, or stochastically independent if, informally speaking, the occurrence of one does not affect the probability of occurrence of the other (equivalently, does not affect the odds). Similarly, two random variables are independent if the realization of one does not affect the probability distribution of the other.

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rdfs:label	Independence (probability theory) (en)
rdfs:comment	Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically independent, or stochastically independent if, informally speaking, the occurrence of one does not affect the probability of occurrence of the other (equivalently, does not affect the odds). Similarly, two random variables are independent if the realization of one does not affect the probability distribution of the other. (en)
sameAs	Independence (probability theory)
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Subject	Experiment (probability theory) Independence (probability theory)
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Independence_(probability_theory)?oldid=1070986419&ns=0
Wikipage page ID	27593 (xsd:integer)
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Wikipage revision ID	1070986419 (xsd:integer)
Link from a Wikipage to another Wikipage	Log probability Normally distributed and uncorrelated does not imply independent Probability density function Probability distribution Probability theory Uncorrelatedness (probability theory) Almost surely Borel set Statistics Σ-algebra Experiment (probability theory) Independence (probability theory) Mutual exclusivity Odds Odds ratio Pairwise independence Pi-system Zero–one law Characteristic function (probability theory) Cumulative distribution function Sample space Complement (set theory) Conditional independence Conditional probability Conditional probability distribution Copula (probability theory) Covariance If and only if Independent and identically distributed random variables Index set Expected value Information content Information theory Joint probability distribution Event (probability theory) Stochastic process Subindependence Topological space Mean dependence Measurable space Random variable Real number
has abstract	Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically independent, or stochastically independent if, informally speaking, the occurrence of one does not affect the probability of occurrence of the other (equivalently, does not affect the odds). Similarly, two random variables are independent if the realization of one does not affect the probability distribution of the other. When dealing with collections of more than two events, two notions of independence need to be distinguished. The events are called pairwise independent if any two events in the collection are independent of each other, while mutual independence (or collective independence) of events means, informally speaking, that each event is independent of any combination of other events in the collection. A similar notion exists for collections of random variables. Mutual independence implies pairwise independence, but not the other way around. In the standard literature of probability theory, statistics, and stochastic processes, independence without further qualification usually refers to mutual independence. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Independence_(probability_theory)
is Wikipage redirect of	Statistical Independence Stochastic dependence Stochastic independence Stochastically independent Marginal independence Mutual independence Mutually independant Mutually independent Dependence (probability theory) Independence (probability) Independence (statistics) Independence of events Independence of random variables Independent (probability) Independent (statistics) Independent event Independent events Independent random variables Statistical dependence Statistical dependency Statistical independence Statistically independent Dice have no memory Probabilistic independence Probabilistically dependent
is Link from a Wikipage to another Wikipage of	Florence Merlevède List of statistics articles Log-linear analysis Log-normal distribution Log probability Logarithm Noncentral F-distribution Noncentral chi-squared distribution

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