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  2. Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Convergence_tests

    exists there are three possibilities: if L > 1 the series converges (this includes the case L = ∞) if L < 1 the series diverges. and if L = 1 the test is inconclusive. An alternative formulation of this test is as follows. Let { an } be a series of real numbers. Then if b > 1 and K (a natural number) exist such that.

  3. Bayesian inference - Wikipedia

    en.wikipedia.org/wiki/Bayesian_inference

    Bayesian inference (/ ˈ b eɪ z i ən / BAY-zee-ən or / ˈ b eɪ ʒ ən / BAY-zhən) is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available.

  4. Vapnik–Chervonenkis theory - Wikipedia

    en.wikipedia.org/wiki/Vapnik–Chervonenkis_theory

    Machine learningand data mining. Vapnik–Chervonenkis theory (also known as VC theory) was developed during 1960–1990 by Vladimir Vapnik and Alexey Chervonenkis. The theory is a form of computational learning theory, which attempts to explain the learning process from a statistical point of view.

  5. Convergent validity - Wikipedia

    en.wikipedia.org/wiki/Convergent_validity

    Convergent validity. Convergent validity in the behavioral sciences refers to the degree to which two measures that theoretically should be related, are in fact related. [1] Convergent validity, along with discriminant validity, is a subtype of construct validity. Convergent validity can be established if two similar constructs correspond with ...

  6. Pattern search (optimization) - Wikipedia

    en.wikipedia.org/wiki/Pattern_search_(optimization)

    Pattern search (also known as direct search, derivative-free search, or black-box search) is a family of numerical optimization methods that does not require a gradient. As a result, it can be used on functions that are not continuous or differentiable. One such pattern search method is "convergence" (see below), which is based on the theory of ...

  7. Dirichlet's test - Wikipedia

    en.wikipedia.org/wiki/Dirichlet's_test

    Dirichlet's test. In mathematics, Dirichlet's test is a method of testing for the convergence of a series. It is named after its author Peter Gustav Lejeune Dirichlet, and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862. [1]

  8. Pattern recognition - Wikipedia

    en.wikipedia.org/wiki/Pattern_recognition

    Pattern recognition is the task of assigning a class to an observation based on patterns extracted from data. While similar, pattern recognition (PR) is not to be confused with pattern machines (PM) which may possess (PR) capabilities but their primary function is to distinguish and create emergent patterns. PR has applications in statistical ...

  9. Bloodstain pattern analysis - Wikipedia

    en.wikipedia.org/wiki/Bloodstain_pattern_analysis

    e. Bloodstain pattern analysis ( BPA) is a forensic discipline focused on analyzing bloodstains left at known, or suspected crime scenes through visual pattern recognition and physics-based assessments. This is done with the purpose of drawing inferences about the nature, timing and other details of the crime. [1]