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McCullagh's Parametrization of the Cauchy Distributions: Probability theory, Cauchy distribution, Probability distribution, Probability density function, Real number, Median, Location- scale family - Couverture souple

 
9786131855665: McCullagh's Parametrization of the Cauchy Distributions: Probability theory, Cauchy distribution, Probability distribution, Probability density function, Real number, Median, Location- scale family
Couverture souple
ISBN 10 : 6131855668 ISBN 13 : 9786131855665
Editeur : Alphascript Publishing, 2010

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, the standard" Cauchy distribution is the probability distribution whose probability density function is f(x) = {1 over pi (1 + x^2)} for x real. This has median 0, and first and third quartiles respectively -1 and +1. Generally, a Cauchy distribution is any probability distribution belonging to the same location-scale family as this one. Thus, if X has a standard Cauchy distribution and u is any real number and o > 0, then Y = u + oX has a Cauchy distribution whose median is u and whose first and third quartiles are respectively u – o and u + o. McCullagh''s parametrization, introduced by Peter McCullagh, professor of statistics at the University of Chicago uses the two parameters of the non-standardised distribution to form a single complex-valued parameter, specifically, the complex number 0 = u + io, where i is the imaginary unit. It also extends the usual range of scale parameter to include 0 < 0. "

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, the standard" Cauchy distribution is the probability distribution whose probability density function is f(x) = {1 over pi (1 + x^2)} for x real. This has median 0, and first and third quartiles respectively -1 and +1. Generally, a Cauchy distribution is any probability distribution belonging to the same location-scale family as this one. Thus, if X has a standard Cauchy distribution and u is any real number and o > 0, then Y = u + oX has a Cauchy distribution whose median is u and whose first and third quartiles are respectively u – o and u + o. McCullagh''s parametrization, introduced by Peter McCullagh, professor of statistics at the University of Chicago uses the two parameters of the non-standardised distribution to form a single complex-valued parameter, specifically, the complex number 0 = u + io, where i is the imaginary unit. It also extends the usual range of scale parameter to include 0 < 0. "

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Alphascript Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
6131855668
ISBN 13 
9786131855665
Reliure
Broché
Nombre de pages
88
Éditeur
Miller Frederic P., Vandome Agnes F., McBrewster John
Coordonnées du fabricant
non disponible
Personne responsable
non disponible