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Edition: 2ND 99

Copyright: 1999

Publisher: John Wiley & Sons, Inc.

Published: 1999

International: No

Copyright: 1999

Publisher: John Wiley & Sons, Inc.

Published: 1999

International: No

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Asymptotic distribution theorems in probability and statistics have, from the beginning, depended on the classical theory of weak convergence of distribution functions in Euclidean space. The past several decades have seen the creation and extensive application of a more inclusive theory of weak convergence of probability measures on metric spaces.

There are many asymptotic results that can be formulated within the classical theory but require for their proofs this more general theory, which thus does not merely study itself. Written by a well-know and respected expert in the field, this book is about weak convergence methods in metric spaces, with applications sufficient to show their power and utility.

**Billingsley, Patrick : University of Chicago**

Weak Convergence in Metric Spaces.

The Space C.

The Space D.

Dependent Variables.

Other Modes of Convergence.

Appendix.

Some Notes on the Problems.

Bibliographical Notes.

Bibliography.

Index.

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Summary

Asymptotic distribution theorems in probability and statistics have, from the beginning, depended on the classical theory of weak convergence of distribution functions in Euclidean space. The past several decades have seen the creation and extensive application of a more inclusive theory of weak convergence of probability measures on metric spaces.

There are many asymptotic results that can be formulated within the classical theory but require for their proofs this more general theory, which thus does not merely study itself. Written by a well-know and respected expert in the field, this book is about weak convergence methods in metric spaces, with applications sufficient to show their power and utility.

Author Bio

**Billingsley, Patrick : University of Chicago**

Table of Contents

Weak Convergence in Metric Spaces.

The Space C.

The Space D.

Dependent Variables.

Other Modes of Convergence.

Appendix.

Some Notes on the Problems.

Bibliographical Notes.

Bibliography.

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 1999

International: No

Published: 1999

International: No

Asymptotic distribution theorems in probability and statistics have, from the beginning, depended on the classical theory of weak convergence of distribution functions in Euclidean space. The past several decades have seen the creation and extensive application of a more inclusive theory of weak convergence of probability measures on metric spaces.

There are many asymptotic results that can be formulated within the classical theory but require for their proofs this more general theory, which thus does not merely study itself. Written by a well-know and respected expert in the field, this book is about weak convergence methods in metric spaces, with applications sufficient to show their power and utility.

**Billingsley, Patrick : University of Chicago**

Weak Convergence in Metric Spaces.

The Space C.

The Space D.

Dependent Variables.

Other Modes of Convergence.

Appendix.

Some Notes on the Problems.

Bibliographical Notes.

Bibliography.

Index.