ISBN: 9786131364365 - Raised Cosine Distribution: Probability Theory, Statistics, Probability Distribution, Generalized Hypergeometric Function (3 results)

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the raised cosine distribution is a probability distribution supported on the interval [ s, + s]. The probability density function is f(x;mu,s)=frac{1}{2s} left[1+cosleft(frac{x!-!mu}{s},piright)right], for mu-s le x le mu+s and zero otherwise. The cumulative distribution function is F(x;mu,s)=frac{1}{2}left[1!+!frac{x!-!mu}{s} !+!frac{1}{pi}sinleft(frac{x!-!mu}{s},piright)right]for mu-s le x le mu+s and zero for x + s.The moments of the raised cosine distribution are somewhat complicated, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with = 0 and s = 1. Because the standard raised cosine distribution is an even function, the odd moments are zero. The even moments are given by: E(x^{2n})=frac{1}{2}int_{-1}^1 [1+cos(xpi)]x^{2n},dx = frac{1}{n!+!1}+frac{1}{1!+!2n},_1F_2 left(n!+!frac{1}{2};frac{1}{2},n!+!frac{3}{2};frac{-pi^2}{4}right)where ,_1F_2 is a generalized hypergeometric function. 84 pp. Englisch.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the raised cosine distribution is a probability distribution supported on the interval [ s, + s]. The probability density function is f(x;mu,s)=frac{1}{2s} left[1+cosleft(frac{x!-!mu}{s},piright)right], for mu-s le x le mu+s and zero otherwise. The cumulative distribution function is F(x;mu,s)=frac{1}{2}left[1!+!frac{x!-!mu}{s} !+!frac{1}{pi}sinleft(frac{x!-!mu}{s},piright)right]for mu-s le x le mu+s and zero for x + s.The moments of the raised cosine distribution are somewhat complicated, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with = 0 and s = 1. Because the standard raised cosine distribution is an even function, the odd moments are zero. The even moments are given by: E(x^{2n})=frac{1}{2}int_{-1}^1 [1+cos(xpi)]x^{2n},dx = frac{1}{n!+!1}+frac{1}{1!+!2n},_1F_2 left(n!+!frac{1}{2};frac{1}{2},n!+!frac{3}{2};frac{-pi^2}{4}right)where ,_1F_2 is a generalized hypergeometric function.…

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -High Quality Content by WIKIPEDIA articles! In probability theory andstatistics, the raised cosine distribution is a probability distributionsupported on the interval [¿ ¿ s,¿ + s]. The probability densityfunction is f(x;mu,s)=frac{1}{2s}left[1+cosleft(frac{x!-!mu}{s},piright)right], for mu-s le x le mu+s andzero otherwise. The cumulative distribution function isF(x;mu,s)=frac{1}{2}left[1!+!frac{x!-!mu}{s}!+!frac{1}{pi}sinleft(frac{x!-!mu}{s},piright)right]for mu-s le x lemu+s and zero for xVDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 84 pp. Englisch.…