Raised Cosine Distribution

Language: English

Published by Omniscriptum Mär 2026, 2026

6131364362 / 9786131364365

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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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.…

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Bibliographic details

Title
Raised Cosine Distribution
Author
Lambert M. Surhone
Publisher
Omniscriptum Mär 2026
Publication year
2026
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6131364362
ISBN 13
9786131364365
Item weight
143 grams
Dimensions
220x150x6 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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