Theory of Statistical Experiments (Springer Series in Statistics) - Softcover

Heyer, H.

 
9781461382201: Theory of Statistical Experiments (Springer Series in Statistics)
Softcover
ISBN 10: 1461382203 ISBN 13: 9781461382201
Verlag: Springer, 2011

Inhaltsangabe

By a statistical experiment we mean the procedure of drawing a sample with the intention of making a decision. The sample values are to be regarded as the values of a random variable defined on some meas­ urable space, and the decisions made are to be functions of this random variable. Although the roots of this notion of statistical experiment extend back nearly two hundred years, the formal treatment, which involves a description of the possible decision procedures and a conscious attempt to control errors, is of much more recent origin. Building upon the work of R. A. Fisher, J. Neyman and E. S. Pearson formalized many deci­ sion problems associated with the testing of hypotheses. Later A. Wald gave the first completely general formulation of the problem of statisti­ cal experimentation and the associated decision theory. These achieve­ ments rested upon the fortunate fact that the foundations of probability had by then been laid bare, for it appears to be necessary that any such quantitative theory of statistics be based upon probability theory. The present state of this theory has benefited greatly from contri­ butions by D. Blackwell and L. LeCam whose fundamental articles expanded the mathematical theory of statistical experiments into the field of com­ parison of experiments. This will be the main motivation for the ap­ proach to the subject taken in this book.

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Reseña del editor

By a statistical experiment we mean the procedure of drawing a sample with the intention of making a decision. The sample values are to be regarded as the values of a random variable defined on some meas­ urable space, and the decisions made are to be functions of this random variable. Although the roots of this notion of statistical experiment extend back nearly two hundred years, the formal treatment, which involves a description of the possible decision procedures and a conscious attempt to control errors, is of much more recent origin. Building upon the work of R. A. Fisher, J. Neyman and E. S. Pearson formalized many deci­ sion problems associated with the testing of hypotheses. Later A. Wald gave the first completely general formulation of the problem of statisti­ cal experimentation and the associated decision theory. These achieve­ ments rested upon the fortunate fact that the foundations of probability had by then been laid bare, for it appears to be necessary that any such quantitative theory of statistics be based upon probability theory. The present state of this theory has benefited greatly from contri­ butions by D. Blackwell and L. LeCam whose fundamental articles expanded the mathematical theory of statistical experiments into the field of com­ parison of experiments. This will be the main motivation for the ap­ proach to the subject taken in this book.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
1461382203
ISBN 13 
9781461382201
Einband
Tapa blanda
Anzahl der Seiten
304
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Hamburg
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Weitere beliebte Ausgaben desselben Titels

9780387907857: Theory of Statistical Experiments (Springer Series in Statistics)

Vorgestellte Ausgabe

ISBN 10:  0387907858 ISBN 13:  9780387907857
Verlag: Springer-Verlag New York Inc., 1982
Hardcover