Contributions to a General Asymptotic Statistical Theory (Paperback, Softcover reprint of the original 1st ed. 1982)

The aso theory developed in Chapters 8 - 12 presumes that the tan- gent cones are linear spaces. In the present chapter we collect a few natural examples where the tangent cone fails to be a linear space. These examples are to remind the reader that an extension of the theo- ry to convex tangent cones is wanted. Since the results are not needed in the rest of the book, we are more generous ab out regularity condi- tions. The common feature of the examples is the following: Given a pre- order (i.e., a reflexive and transitive order relation) on a family of p-measures, and a subfamily i of order equivalent p-measures, the fa- mily ~ consists of p-measures comparable with the elements of i. This usually leads to a (convex) tangent cone 1f only p-measures larger (or smaller) than those in i are considered, or to a tangent co ne con- sisting of a convex cone and its reflexion about 0 if both smaller and larger p-measures are allowed. For partial orders (i.e., antisymmetric pre-orders), ireduces to a single p-measure. we do not assume the p-measures in ~ to be pairwise comparable.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Lecture Notes in Statistics, 13
Release date:	November 1982
First published:	1982
Authors:	J Pfanzagl
Assisted by:	W. Wefelmeyer
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	315
Edition:	Softcover reprint of the original 1st ed. 1982
ISBN-13:	978-0-387-90776-5
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-387-90776-9
Barcode:	9780387907765

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