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Theory of Statistical Experiments (Paperback, Softcover reprint of the original 1st ed. 1982)
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Theory of Statistical Experiments (Paperback, Softcover reprint of the original 1st ed. 1982)
Series: Springer Series in Statistics
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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."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Springer Series in Statistics |
Release date: |
October 2011 |
First published: |
1982 |
Authors: |
H. Heyer
|
Dimensions: |
235 x 155 x 16mm (L x W x T) |
Format: |
Paperback
|
Pages: |
289 |
Edition: |
Softcover reprint of the original 1st ed. 1982 |
ISBN-13: |
978-1-4613-8220-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Applied mathematics >
General
|
LSN: |
1-4613-8220-3 |
Barcode: |
9781461382201 |
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