An edition of Robust inference (1986)

Robust inference

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Last edited by MARC Bot
December 11, 2023 | History
An edition of Robust inference (1986)

Robust inference

This authoritative new volume treats a wide class of distributions that constitute plausible alternatives to normality -- such as short- and long-tailed symmetric distributions and moderately skewed distributions -- all having finite mean and variance. Robust Inference illustrates the appropriateness of various robust methods for solving both one-sample and multisample statistical inference problems ... develops Laguerre series expansions for Student's t and variance-ratio F statistic distributions ... analyzes normal and nonnormal distribution efficiencies ... works out modified maximum likelihood (MML) estimators based on type II censored samples for log-normal, logistic, exponential, and Rayleigh distributions ... uses MML estimators in constructing robust hypothesis-testing procedures ... considers the specialized topics of regression, analysis of variance, classification, and sample survey ... discusses goodness-of-fit tests ... describes Q-Q plots in a special appendix ... and much more. An outstanding, time-saving reference for theoreticians and practitioners of statistics, Robust Inference is also an excellent auxiliary text for an undergraduate- or graduate-level course on robustness.

Publish Date
Publisher
M. Dekker
Language
English
Pages
321

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Previews available in: English

Edition Availability
Cover of: Robust inference
Robust inference
1986, M. Dekker
Hardcover in English

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Book Details


Table of Contents

Robustness of Some Classical Tests --
Student's t test --
Asymptotic robustness of the t test --
Variance-ratio test for comparing several means --
Asymptotic robustness of the variance-ratio test --
Small-sample distributions of t and F under nonnormal distributions and robustness --
Small-sample null distribution of F and type I robustness --
Small-sample power of the t test and the F test --
Testing equality of two variances --
Laguerre polynomial expansion of nonnegative random variables --
Estimation Procedures for Censored Samples --
Type II censoring --
Truncated distributions and their cumulants --
Estimation of parameters from type II censored samples --
Least-squares estimators (BLUEs) --
Maximum likelihood estimators (MLEs) --
MMLEs for the normal --
Robust estimators and comparisons with the MMLEs --
Random choice of the proportion of censoring --
Adaptive estimators of location --
Order statistics --
MMLEs for Other Distributions --
MMLE for log-normal distribution --
MMLE for the logistic distribution --
Estimation of parameters of exponential distribution --
MML estimation of parameters for Rayleigh distribution --
MML estimation in progressively censored samples --
MML estimation for truncated distributions --
Robust Tests --
Robust Studentized one-sample tests --
Testing equality of two location parameters when scale parameters are equal --
Testing equality of location parameters of extreme skew distributions --
Comparison of two location parameters when the scale parameters are unequal --
Comparison of two variances.

Edition Notes

Bibliography: p. 284-313.
Includes index.

Published in
New York, USA
Series
Statistics, textbooks and monographs ;
Copyright Date
©1986

Classifications

Dewey Decimal Class
519.5
Library of Congress
QA276 .T52 1986

Contributors

Editor
W. Y. Tan
Editor
N. Balakrishnan

The Physical Object

Format
Hardcover
Pagination
ix, 321 pages ; 24 cm.
Number of pages
321
Dimensions
6 x 1 x 9 inches
Weight
2 pounds

ID Numbers

Open Library
OL2720063M
Internet Archive
robustinference0000tiku
ISBN 10
0824775325
ISBN 13
9780824775322
LCCN
86013447
OCLC/WorldCat
13700697
Goodreads
4126033

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December 11, 2023 Edited by MARC Bot import existing book
December 11, 2022 Edited by MARC Bot import existing book
December 7, 2022 Edited by ImportBot import existing book
March 9, 2022 Edited by ImportBot import existing book
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record