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  2. Q-function - Wikipedia

    en.wikipedia.org/wiki/Q-function

    In statistics, the Q-function is the tail distribution function of the standard normal distribution. [ 1 ] [ 2 ] In other words, Q ( x ) {\displaystyle Q(x)} is the probability that a normal (Gaussian) random variable will obtain a value larger than x {\displaystyle x} standard deviations.

  3. Marcum Q-function - Wikipedia

    en.wikipedia.org/wiki/Marcum_Q-function

    Using the fact that (,) =, the generalized Marcum Q-function can alternatively be defined as a finite integral as (,) = ⁡ (+) ().However, it is preferable to have an integral representation of the Marcum Q-function such that (i) the limits of the integral are independent of the arguments of the function, (ii) and that the limits are finite, (iii) and that the integrand is a Gaussian function ...

  4. Q distribution - Wikipedia

    en.wikipedia.org/wiki/Q_distribution

    In mathematics and statistics, Q-distribution or q-distribution may refer to: Q-function, the tail distribution function of the standard normal distribution; The studentized range distribution, which is the distribution followed by the q-statistic (lowercase Q; the Q-statistic with uppercase Q, from the Box-Pierce test or Ljung-Box test, follows the chi-squared distribution)

  5. Husimi Q representation - Wikipedia

    en.wikipedia.org/wiki/Husimi_Q_representation

    The Husimi Q distribution (called Q-function in the context of quantum optics) is one of the simplest distributions of quasiprobability in phase space. It is constructed in such a way that observables written in anti-normal order follow the optical equivalence theorem. This means that it is essentially the density matrix put into normal order ...

  6. Expectation–maximization algorithm - Wikipedia

    en.wikipedia.org/wiki/Expectation–maximization...

    The use of the log likelihood can be generalized to that of the α-log likelihood ratio. Then, the α-log likelihood ratio of the observed data can be exactly expressed as equality by using the Q-function of the α-log likelihood ratio and the α-divergence. Obtaining this Q-function is a generalized E step. Its maximization is a generalized M ...

  7. Wikipedia : WikiProject Mathematics/List of mathematics ...

    en.wikipedia.org/wiki/Wikipedia:WikiProject...

    Q.E.D.-- Qallalin tiles-- Qashani-- QCMA-- QED manifesto-- QED project-- QIP (complexity)-- QMA-- QR algorithm-- QR decomposition-- QST (genetics)-- Quad-edge ...

  8. Gaussian q-distribution - Wikipedia

    en.wikipedia.org/wiki/Gaussian_q-distribution

    In mathematical physics and probability and statistics, the Gaussian q-distribution is a family of probability distributions that includes, as limiting cases, the uniform distribution and the normal (Gaussian) distribution.

  9. q-gamma function - Wikipedia

    en.wikipedia.org/wiki/Q-gamma_function

    In q-analog theory, the -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related to the double gamma function. It was introduced by Jackson (1905) .