Ratio Distribution : Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Normal Distribution, Chi Distribution, Chi-Square Distribution

Language: English

Published by Omniscriptum, 2010

6130344996 / 9786130344993

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nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! A ratio distribution (or quotient distribution) is a probability distribution constructed as the distribution of the ratio of random variables having two other known distributions. The Cauchy distribution is an example of a ratio distribution. The random variable associated with this distribution comes about as the ratio of two Gaussian (normal) distributed variables with zero mean. Thus the Cauchy distribution is also called the normal ratio distribution. A number of researchers have considered more general ratio distributions. Two distribution often used in test-statistics, the t-distribution and the F-distribution, are also ratio distributions: The t-distributed random variable is the ratio of a Gaussian random variable divided by an independent chi-distributed random variable (i.e., the square root of a chi-square distribution), while the F-distributed random variable is the ratio of two independent chi-square distributed random variables. Often the ratio distributions are heavy-tailed, and it may be difficult to work with such distributions and develop an associated statistical test. A method based on the median has been suggested as a 'work-around'. …

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Title
Ratio Distribution : Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Normal Distribution, Chi Distribution, Chi-Square Distribution
Author
Mariam T. Tennoe
Publisher
Omniscriptum
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6130344996
ISBN 13
9786130344993
Item weight
238 grams
Dimensions
220x150x9 mm

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