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Titlebook: Identification of Outliers; D. M. Hawkins Book 1980 D. M. Hawkins 1980 Area.Factor.Flit.Volume.computation.distribution.identification.sta

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发表于 2025-3-21 16:36:16 | 显示全部楼层 |阅读模式
书目名称Identification of Outliers
编辑D. M. Hawkins
视频video
丛书名称Monographs on Statistics and Applied Probability
图书封面Titlebook: Identification of Outliers;  D. M. Hawkins Book 1980 D. M. Hawkins 1980 Area.Factor.Flit.Volume.computation.distribution.identification.sta
描述The problem of outliers is one of the oldest in statistics, and during the last century and a half interest in it has waxed and waned several times. Currently it is once again an active research area after some years of relative neglect, and recent work has solved a number of old problems in outlier theory, and identified new ones. The major results are, however, scattered amongst many journal articles, and for some time there has been a clear need to bring them together in one place. That was the original intention of this monograph: but during execution it became clear that the existing theory of outliers was deficient in several areas, and so the monograph also contains a number of new results and conjectures. In view of the enormous volume ofliterature on the outlier problem and its cousins, no attempt has been made to make the coverage exhaustive. The material is concerned almost entirely with the use of outlier tests that are known (or may reasonably be expected) to be optimal in some way. Such topics as robust estimation are largely ignored, being covered more adequately in other sources. The numerous ad hoc statistics proposed in the early work on the grounds of intuitive a
出版日期Book 1980
关键词Area; Factor; Flit; Volume; computation; distribution; identification; statistics; testing
版次1
doihttps://doi.org/10.1007/978-94-015-3994-4
isbn_softcover978-94-015-3996-8
isbn_ebook978-94-015-3994-4
copyrightD. M. Hawkins 1980
The information of publication is updating

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发表于 2025-3-21 21:48:50 | 显示全部楼层
General theoretical principles,In Chapter 1, a distinction was made between situations in which our primary concern is to estimate one or more parameters of the underlying distribution, and that in which we wish to classify the data into ‘good’ data and outliers (if any).
发表于 2025-3-22 00:55:55 | 显示全部楼层
The gamma distribution,The general form of the gamma distribution is . The parameter α is a shape parameter and ß a scale parameter.
发表于 2025-3-22 07:10:29 | 显示全部楼层
Outliers from the linear model,The standard form of the general linear model is . where the . × 1 vector . represents the independent variables measured, the . matrix . is the design matrix, and . the . × 1 vector of unknown regression coefficients. The error vector . is assumed to consist of . independent, identically distributed N(0, ..) variables.
发表于 2025-3-22 11:05:01 | 显示全部楼层
Bayesian approach to outliers,We have already mentioned the suggestion by Glaisher that the usual arithmetic mean was not appropriate for observations having a common mean, but different precisions.
发表于 2025-3-22 15:20:50 | 显示全部楼层
Miscellaneous topics,The general procedure for testing for outliers in a continuous distribution with unknown parameters is: find a suitable (e.g. complete sufficient) statistic . for the parameters, and then find a suitable outlier test statistic . whose distribution does not depend on the unknown parameters.
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发表于 2025-3-23 01:26:21 | 显示全部楼层
Non-parametric tests, is really not surprising. Most of the results that there are relate to slippage rather than outlier problems. Suppose that we are given .., . = 1 to .., . = 1 to . = ∑ .. observations from . groups. Let .. denote an arbitrary observation from population ..
发表于 2025-3-23 07:03:01 | 显示全部楼层
Introduction,er would be ‘an observation which deviates so much from other observations as to arouse suspicions that it was generated by a different mechanism’. An inspection of a sample containing outliers would show up such characteristics as large gaps between ‘outlying’ and ‘inlying’ observations and the dev
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