Discrete q-Distributions by Charalambos A. Charalambides

Discrete q-Distributions



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Discrete q-Distributions Charalambos A. Charalambides ebook
Publisher: Wiley
ISBN: 9781119119043
Page: 224
Format: pdf


Terms of two discrete probability distributions in terms of the supremum distance |pk − qk|/∆p,q is bounded independent of p and q, i.e. Distribution: For Binomial Distributions: Formula 5-6 µ = n • p. The q-Gaussian is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints. Keywords: Zero distribution; Discrete orthogonality; Constrained equilibrium . Let C be a class of probability distributions over the discrete domain [n] . Mathematical Statistics with Resampling and R ISBN 978-1-118-02985-5. For discrete probability distributions P and Q, the Kullback– Leibler divergence of Q from P is defined to be. Each continuous distribution has a “standard” version and a more general rescaled version. In statistics, the q-Weibull distribution is a probability distribution that generalizes the Weibull distribution and the Lomax distribution (Pareto Type II). It is a folklore fact that learning an arbitrary discrete distribution over a The total variation distance between two distributions p and q over [N] is dTV (p, q) def. Triola For Any Discrete Probability. Discrete distributions and transformation rules. Corresponding to each family of discrete distributions there is a useful summation (Newton's) binomial series r = 1, 2, 3, P(X = x) = (−r x )pr(−q)x. Discrete Probability Distributions .10 .20 .30 .40. More precisely, let us say that a distribution q over [n] is (ε, t)-flat (see. Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, Generalized zeta -function and q-series distributions have been added and are covered in detail.





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