Contributions to a General Asymptotic Statistical Theory: 13 (Lecture Notes in Statistics, 13) - Tapa blanda

Pfanzagl, J.

 
9780387907765: Contributions to a General Asymptotic Statistical Theory: 13 (Lecture Notes in Statistics, 13)
Tapa blanda
ISBN 10: 0387907769 ISBN 13: 9780387907765
Editorial: Springer, 2013

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
0387907769
ISBN 13 
9780387907765
Encuadernación
Tapa blanda
Número de páginas
328
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9781461257707: Contributions to a General Asymptotic Statistical Theory

Edición Destacada

ISBN 10:  1461257700 ISBN 13:  9781461257707
Editorial: Springer, 2011
Tapa blanda