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

Lambert M. Surhone (u. a.)

ISBN 10: 6130344996 / ISBN 13: 9786130344993

Published by OmniScriptum, 2026

About this Item

Ratio Distribution | Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Normal Distribution, Chi Distribution, Chi-Square Distribution | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130344993 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 101372841

Bibliographic Details

• Title: Ratio Distribution | Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Normal Distribution, Chi Distribution, Chi-Square Distribution
• Publisher: OmniScriptum
• Publication Date: 2026
• Language: English
• ISBN 10: 6130344996
• ISBN 13: 9786130344993
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 9D millimeters 220 millimeters width by 150 millimeters height by 9 millimeters depth
• Weight: 238 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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"."