Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically...
28 KB (4,646 words) - 16:26, 15 July 2025
In probability theory, a pairwise independent collection of random variables is a set of random variables any two of which are independent. Any collection...
12 KB (1,670 words) - 02:39, 9 March 2024
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...
26 KB (3,568 words) - 18:40, 15 July 2025
In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of...
22 KB (4,117 words) - 22:42, 14 May 2025
total probability Bayes' theorem Independence (probability theory) (Related topics: measure theory) Sample spaces, σ-algebras and probability measures...
8 KB (556 words) - 00:09, 23 June 2024
Independent and identically distributed random variables (category Independence (probability theory))
In probability theory and statistics, a collection of random variables is independent and identically distributed (i.i.d., iid, or IID) if each random...
14 KB (2,119 words) - 03:46, 30 June 2025
Copula (statistics) (redirect from Copula (probability theory))
In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each...
75 KB (9,347 words) - 09:50, 3 July 2025
Vine copula (category Independence (probability theory))
vine is a graphical tool for labeling constraints in high-dimensional probability distributions. A regular vine is a special case for which all constraints...
28 KB (3,035 words) - 13:49, 9 July 2025
In probability theory, an event is a subset of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome...
8 KB (1,136 words) - 08:55, 14 January 2025
Free probability is a mathematical theory that studies non-commutative random variables. The "freeness" or free independence property is the analogue...
8 KB (848 words) - 04:15, 7 July 2025
computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe...
39 KB (5,149 words) - 01:10, 6 July 2025
Comonotonicity (category Independence (probability theory))
In probability theory, comonotonicity mainly refers to the perfect positive dependence between the components of a random vector, essentially saying that...
12 KB (1,347 words) - 10:16, 13 March 2024
catalog of articles in probability theory. For distributions, see List of probability distributions. For journals, see list of probability journals. For contributors...
11 KB (1,000 words) - 14:07, 2 May 2024
Truth (redirect from Epistemic theory of truth)
of truth Disposition Eclecticism Epistemic theories of truth Imagination Independence (probability theory) Invariant (mathematics) McNamara fallacy Normative...
100 KB (12,622 words) - 07:02, 27 June 2025
The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain...
11 KB (1,599 words) - 04:30, 19 April 2025
Conditional dependence (category Independence (probability theory))
In probability theory, conditional dependence is a relationship between two or more events that are dependent when a third event occurs. For example, if...
8 KB (1,017 words) - 06:28, 23 July 2025
(mathematical logic), logical independence Independence (probability theory), statistical independence Linear independence Independence (1976 film), a docudrama...
6 KB (683 words) - 19:47, 26 June 2025
In probability theory, a probability space or a probability triple ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a mathematical construct...
24 KB (3,575 words) - 00:56, 12 February 2025
information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability to a given...
20 KB (2,734 words) - 09:34, 13 April 2025
statistics, Local independence is the underlying assumption of latent variable models (such as factor analysis and item response theory models). The observed...
3 KB (364 words) - 13:38, 8 October 2024
Tail dependence (category Independence (probability theory))
In probability theory, the tail dependence of a pair of random variables is a measure of their comovements in the tails of the distributions. The concept...
2 KB (275 words) - 08:59, 15 January 2024
Spurious relationship (category Independence (probability theory))
In statistics, a spurious relationship or spurious correlation is a mathematical relationship in which two or more events or variables are associated but...
14 KB (1,828 words) - 00:44, 21 November 2024
Negative relationship (category Independence (probability theory))
In statistics, there is a negative relationship or inverse relationship between two variables if higher values of one variable tend to be associated with...
3 KB (361 words) - 02:37, 5 October 2024
Dependent and independent variables (category Independence (probability theory))
influence each other. Through propagation of independence, the independence of Ui implies independence of Yi, even though each Yi has a different expectation...
15 KB (1,847 words) - 15:32, 13 July 2025
In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. It...
6 KB (1,121 words) - 04:52, 20 June 2025
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption...
34 KB (4,701 words) - 02:55, 17 July 2025
Subindependence (category Independence (probability theory))
In probability theory and statistics, subindependence is a weak form of independence. Two random variables X and Y are said to be subindependent if the...
3 KB (320 words) - 03:43, 27 January 2023
In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome...
13 KB (2,162 words) - 18:42, 15 July 2025
describe the state of the variable, considering the distribution of probabilities across all potential states. Given a discrete random variable X {\displaystyle...
71 KB (10,208 words) - 07:29, 15 July 2025
Mediation (statistics) (category Independence (probability theory))
analyst's attention to cases of equal M values. Moreover, the language of probability theory does not possess the notation to express the idea of "preventing M...
53 KB (7,074 words) - 01:10, 7 May 2025