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Ratio Distribution
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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".
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130344993
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T9mm
- Jahr 2010
- EAN 9786130344993
- Format Kartonierter Einband
- ISBN 978-613-0-34499-3
- Titel Ratio Distribution
- Untertitel Probability Distribution, Ratio, Random Variable, Cauchy Distribution, Student's T-Distribution, F-Distribution, Normal Distribution, Chi Distribution, Chi-Square Distribution
- Gewicht 238g
- Herausgeber VDM Verlag Dr. Müller e.K.
- Anzahl Seiten 148
- Genre Mathematik
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