Projecting Statistical Functionals (Paperback)
Tomasz Rychlik
Verkauft von Grand Eagle Retail, Mason, OH, USA
AbeBooks-Verkäufer seit 12. Oktober 2005
Neu - Softcover
Zustand: Neu
Anzahl: 1 verfügbar
In den Warenkorb legenVerkauft von Grand Eagle Retail, Mason, OH, USA
AbeBooks-Verkäufer seit 12. Oktober 2005
Zustand: Neu
Anzahl: 1 verfügbar
In den Warenkorb legenPaperback. This monograph presents a general method of establishing explicit solutions to classical problems of calculating the best lower and upper mean-variance bounds on various statistical functionals over various nonparametric families of distributions. The functionals include quantiles, standard and conditional expectations of record and order statistics from independent and dependent samples, and a variety of their combinations important in statistics and reliability. The following families of distributions are taken into account: arbitrary, symmetric, symmetric unimodal, and U-shaped ones, distributions with monotone density and failure rate, and monotone density and failure rate on the average distributions. The method is based on determining projections of the functionals onto properly chosen convex cones in functional Hilbert spaces. It allows us to explicitly point out the distributions which attain the bounds. The book is addressed to students, researchers, and practitioners in statistics and applied probability. Most of the results have been established recently, and a significant part of them has not been published yet. Numerous open problems are stated in the text. This book unifies a large number of results concerning the quantile function and order statistics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Bestandsnummer des Verkäufers 9780387952390
This book presents a method of establishing explicit solutions to classical problems of calculating the best lower and upper mean-variance bounds. The following families of distributions are taken into account: arbitrary, symmetric, symmetric unimodal, and U-shaped. The book is addressed to students, researchers, and practitioners in statistics and applied probability. Most of the results are recent, and a significant part of them has not been published yet. Numerous open problems are stated in the text.
This book presents a method of establishing explicit solutions to classical problems of calculating the best lower and upper mean-variance bounds. The following families of distributions are taken into account: arbitrary, symmetric, symmetric unimodal, and U-shaped. The book is addressed to students, researchers, and practitioners in statistics and applied probability. Most of the results are recent, and a significant part of them has not been published yet. Numerous open problems are stated in the text.
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