From finite sample to asymptotic methods in statistics
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Main Authors: | |
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Group Author: | ; |
Published: |
Cambridge University Press,
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Publisher Address: | Cambridge, UK New York |
Publication Dates: | 2010. |
Literature type: | Book |
Language: | English |
Series: |
Cambridge series in statistical and probabilistic mathematics |
Subjects: | |
Carrier Form: | xii, 386 p.: ill. ; 26 cm. |
ISBN: |
9780521877220 (hbk.) 0521877229 (hardback) |
Index Number: | O211 |
CLC: |
O211 O212 |
Call Number: | O212/S474 |
Contents: |
Includes bibliographical references (p. 375-379) and index. Motivation and basic tools -- Estimation theory -- Hypothesis testing -- Elements of statistical decision theory -- Stochastic processes: an overview -- Stochastic convergence and probability inequalities -- Asymptotic distributions -- Asymptotic behavior of estimators and tests -- Categorical data models -- Regression models -- Weak convergence and Gaussian processes. "Exact statistical inference may be employed in diverse fields of science and technology. As problems become more complex and sample sizes become larger, mathematical and computational difficulties can arise that require the use of approximate statistical methods. Such methods are justified by asymptotic arguments but are still based on the concepts and principles that underlie exact statistical inference. |