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Discrete q-Distributions by Charalambos A. Charalambides

• Discrete q-Distributions
• Charalambos A. Charalambides
• Page: 224
• Format: pdf, ePub, mobi, fb2
• ISBN: 9781119119043
• Publisher: Wiley

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Discrete q-distributions on Bernoulli trials with a geometrically These discrete q-distributions and their applications are reviewed, with critical comments and additions. Finally, consider a sequence of independent Bernoulli   SOME DISCRETE DISTRIBUTIONS RELATED TO EXTENDED ing p = q = m~1/(w_1) will result in a fair die, i.e., each face will have SOMEDISCRETE DISTRIBUTIONS RELATED TO EXTENDED PASCAL TRIANGLES. 2 . The q-deformed binomial distribution and its asymptotic behaviour Abstract. The q-analogue of the binomial distribution is defined by virtue of the Discrete q-distributions on Bernoulli trials with a geometrically varying success  Discrete Distributions and Summation Formulas 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. ∞. ∑ k=0 (α. Deviations of discrete distributions and a question of M& - CiteSeer 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. whether there exist  On p,q-Poisson Distributions and p,q-Factorial Moments In this paper, we define the discrete p, q-distributions and show that these distributions are proper p, q-analogues of the discrete qdistributions. The study of   Poisson distribution - Wikipedia, the free encyclopedia is the floor function, and Q is the regularized gamma function) . A discrete random variable X is said to have a Poisson distribution with parameter λ > 0, if, for k  q-Weibull distribution - Wikipedia, the free encyclopedia In statistics, the q-Weibull distribution is a probability distribution that generalizes the Weibull distribution and the Lomax distribution (Pareto Type II). It is one  Discrete q-Distributions | Weitere Bücher - Wiley-VCH Chihara, Laura M. / Hesterberg, Tim C. Mathematical Statistics with Resampling and R ISBN 978-1-118-02985-5. Lambert, Peter Advanced Mathematics for  Probability Distributions in R (Stat 5101, Geyer) - School of Statistics p for "probability", the cumulative distribution function (c. d. f.); q for "quantile", the For a discrete distribution (like the binomial), the " d " function calculates the  q-distributions and Markov processes In this context we speak therefore about q-distributions. and K. Simon, q-series arising from the study of random graphs, SIAM J. Discrete Math., to appear. Optimal Algorithms for Testing Closeness of Discrete Distributions More precisely, given samples from two distributions $p$ and $q$ over an $n$- element set, we wish to distinguish whether $p=q$ versus $p$ is  The Discrete Half-Normal Distribution Key Words: Maximum entropy distribution, confluent q-series The discrete normal distribution of Lisman and van Zuylen (1972), Kemp. Mean, Variance, Standard Deviation for Binomial Distributions Binomial Distributions. 2. Triola For Any Discrete Probability. Distribution: For Binomial Distributions: Formula 5-6 µ = n • p. Formula 5-7 σ 2. = n • p • q 

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