Statistical Analysis of Stationary Time Series

Grenander, Ulf, Rosenblatt, Murray

ISBN 10: 0828403201 / ISBN 13: 9780828403207

Edité par American Mathematical Society, 1999

Used book that is in clean, average condition without any missing pages. N° de réf. du vendeur 17200529-6

Synopsis :

From the Preface to the First Edition (1957): 'The purpose of this book is two-fold. It is written in the terminology of the theoretical statistician because one of our objectives is to direct his attention to an approach to time series analysis that is essentially different from most of the techniques used by time series analysts in the past. The second objective is to present a unified treatment of methods that are being used increasingly in the physical sciences and technology. We hope that the book will be of considerable interest to research workers in these fields. Keeping the first objective in mind, we have given a rigorous mathematical discussion of these new topics in time series analysis. The existing literature in time series analysis is characterized with few exceptions by a lack of precision both in conception and in the mathematical treatment of the problems dealt with.To avoid this vagueness, we have devoted more space to rigorous proofs than may appear necessary to some readers, but we believe that a study of the proofs will furnish valuable clues to the practical validity of the results and be an important guide to intuition. We have tried to balance the formal proofs with intuitive remarks and comments on practical applications. While the regularity assumptions we have required in many cases may seem restrictive, appropriately interpreted they give an indication of the range in which the methods are practically valid. We have made such interpretations in the comments accompanying the formal proofs. Readers should have knowledge of statistics and basic probability. The second edition was printed with corrections.

Détails bibliographiques

Titre : Statistical Analysis of Stationary Time ...
Éditeur : American Mathematical Society
Date d'édition : 1999
Reliure : Couverture rigide
Etat : Good
Edition : 2ème Édition