In probability theory and statistics, two real-valued random variables, X {\displaystyle X} , Y {\displaystyle Y} , are said to be uncorrelated if their...

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically...

Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively...

used tools in probability theory, developed by Norbert Wiener, which were in their nascent stages of being applied to communication theory at that time...

total probability Bayes' theorem Independence (probability theory) (Related topics: measure theory) Sample spaces, σ-algebras and probability measures...

catalog of articles in probability theory. For distributions, see List of probability distributions. For journals, see list of probability journals. For contributors...

In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random...

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...

In game theory, a move, action, or play is any one of the options which a player can choose in a setting where the optimal outcome depends not only on...

\operatorname {K} _{ZW}=\operatorname {J} _{ZW}=0} (see also: uncorrelatedness (probability theory)). Orthogonality: two complex random variables Z {\displaystyle...

multivariate linear regression Bayesian network Bayesian probability Bayesian search theory Bayesian spam filtering Bayesian statistics Bayesian tool...

Students of statistics and probability theory sometimes develop misconceptions about the normal distribution, ideas that may seem plausible but are mathematically...

The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation...

of oneself). Rational deterrence theory holds that an attacker will be deterred if they believe that: (Probability of deterrer carrying out deterrent...

process which generates them. The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective...

Rate–distortion theory is a major branch of information theory which provides the theoretical foundations for lossy data compression; it addresses the...

mean independence implies uncorrelatedness while the converse is not true. Unlike stochastic independence and uncorrelatedness, mean independence is not...

respectively. In other words, a state is separable if it is a probability distribution over uncorrelated states, or product states. By writing the density matrices...

In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization...

Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return...

lists articles related to probability theory. In particular, it lists many articles corresponding to specific probability distributions. Such articles...

of probability and incomplete information. While economic game theory employs utility theory and equilibrium concepts, combinatorial game theory is primarily...

requirement of interactions being binary and uncorrelated will eventually lead to divergent results. In the kinetic theory of gases, the pressure is assumed to...

In probability theory and statistics, covariance is a measure of the joint variability of two random variables. The sign of the covariance, therefore,...

In probability theory, the general form of Bienaymé's identity, named for Irénée-Jules Bienaymé, states that Var ⁡ ( ∑ i = 1 n X i ) = ∑ i = 1 n Var ⁡...

In probability theory, calculation of the sum of normally distributed random variables is an instance of the arithmetic of random variables. This is not...

In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two...

In probability, and statistics, a multivariate random variable or random vector is a list or vector of mathematical variables each of whose value is unknown...