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Pivotal Quantity
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Geliefert zwischen Fr., 30.01.2026 und Mo., 02.02.2026
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High Quality Content by WIKIPEDIA articles! In statistics, a pivotal quantity or pivot is a function of observations and unobservable parameters whose probability distribution does not depend on unknown parameters. Note that a pivot quantity need not be a statistic the function and its value can depend on parameters of the model, but its distribution must not. If it is a statistic, then it is known as an ancillary statistic. More formally, given an independent and identically distributed sample X = (X1,X2,ldots,X_n) from a distribution with parameter , a function g is a pivotal quantity if the distribution of g(X, ) is independent of . Pivotal quantities are commonly used for normalization to allow data from different data sets to be compared. It is relatively easy to construct pivots for location and scale parameters: for the former we form differences so that location cancels, for the latter ratios so that scale cancels.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130334734
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T7mm
- Jahr 2010
- EAN 9786130334734
- Format Fachbuch
- ISBN 978-613-0-33473-4
- Titel Pivotal Quantity
- Untertitel Statistics, Probability Distribution, Parameter, Statistic, Ancillary Statistic, Independent and Identically-Distributed Random Variables, Normalization, Test Statistic
- Gewicht 183g
- Herausgeber Betascript Publishers
- Anzahl Seiten 112
- Genre Mathematik
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