Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...
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Bayesian probability (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is an interpretation of the concept of probability, in which, instead of frequency or...
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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...
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computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe...
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In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each...
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In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time, the conditional expectation...
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In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome...
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Stochastic process (redirect from Version (probability theory))
In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a sequence of random...
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In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes...
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In the theory of stochastic processes, a subdiscipline of probability theory, filtrations are totally ordered collections of subsets that are used to...
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In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If...
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In probability theory and statistics, two real-valued random variables, X {\displaystyle X} , Y {\displaystyle Y} , are said to be uncorrelated if their...
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In probability theory, a probability space or a probability triple ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a mathematical construct...
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The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain...
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Frequentist probability or frequentism is an interpretation of probability; it defines an event's probability as the limit of its relative frequency in...
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ideas since long before the invention of poker. The development of probability theory in the late 1400s was attributed to gambling; when playing a game...
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Decision theory or the theory of rational choice is a branch of probability, economics, and analytic philosophy that uses the tools of expected utility...
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In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. It...
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In probability theory, an experiment or trial (see below) is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes...
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In probability theory, Bernstein inequalities give bounds on the probability that the sum of random variables deviates from its mean. In the simplest...
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mathematicians interpret the probability values of probability theory. There are two broad categories of probability interpretations which can be called...
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before an experiment is conducted. As a mathematical subject, the theory of probability arose very late—as compared to geometry for example—despite the...
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Convergence of random variables (redirect from Convergence in probability)
In probability theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence...
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(1995). Probability and Measure. John Wiley. ISBN 0-471-00710-2. Ash, Robert B.; Doléans-Dade, Catherine A. (1999). Probability & Measure Theory. Academic...
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Bayesian inference (redirect from Bayesian confirmation theory)
philosophy of decision theory, Bayesian inference is closely related to subjective probability, often called "Bayesian probability". Bayesian inference...
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Markov kernel (redirect from Probability kernel)
In probability theory, a Markov kernel (also known as a stochastic kernel or probability kernel) is a map that in the general theory of Markov processes...
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In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption...
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Solomonoff's theory of inductive inference is a mathematical theory of induction introduced by Ray Solomonoff, based on probability theory and theoretical...
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In probability theory, the total variation distance is a distance measure for probability distributions. It is an example of a statistical distance metric...
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catalog of articles in probability theory. For distributions, see List of probability distributions. For journals, see list of probability journals. For contributors...
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