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Titlebook: Robust Asymptotic Statistics; Volume I Helmut Rieder Book 1994 Springer-Verlag New York, Inc. 1994 Estimator.Likelihood.Parametric statisti

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書目名稱Robust Asymptotic Statistics
副標題Volume I
編輯Helmut Rieder
視頻videohttp://file.papertrans.cn/832/831263/831263.mp4
概述This volume gives a rigorous account of the asymptotic theory of robust statistics, from the viewpoint of optimally robust functionals and their unbiased estimators and tests.
叢書名稱Springer Series in Statistics
圖書封面Titlebook: Robust Asymptotic Statistics; Volume I Helmut Rieder Book 1994 Springer-Verlag New York, Inc. 1994 Estimator.Likelihood.Parametric statisti
描述1 To the king, my lord, from your servant Balasi : 2 ... The king should have a look. Maybe the scribe who reads to the king did not understand . . . . shall I personally show, with this tablet that I am sending to the king, my lord, how the omen was written. 3 Really, he who has not followed the text with his finger cannot possibly understand it. This book is about optimally robust functionals and their unbiased esti- mators and tests. Functionals extend the parameter of the assumed ideal center model to neighborhoods of this model that contain the actual distri- bution. The two principal questions are (F): Which functional to choose? and (P): Which statistical procedure to use for the selected functional? Using a local asymptotic framework, we deal with both problems by linking up nonparametric statistical optimality with infinitesimal robust- ness criteria. Thus, seemingly separate developments in robust statistics are presented in a unifying way.
出版日期Book 1994
關鍵詞Estimator; Likelihood; Parametric statistics; Variance; linear regression; statistics
版次1
doihttps://doi.org/10.1007/978-1-4684-0624-5
isbn_softcover978-1-4684-0626-9
isbn_ebook978-1-4684-0624-5Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer-Verlag New York, Inc. 1994
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沙發(fā)
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0172-7397 heir unbiased estimators and tests.1 To the king, my lord, from your servant Balasi : 2 ... The king should have a look. Maybe the scribe who reads to the king did not understand . . . . shall I personally show, with this tablet that I am sending to the king, my lord, how the omen was written. 3 Rea
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Log Likelihoods,es, (local) asymptotic normality of statistical models, and log likelihood expansions for . differentiable parametric families. All these notions are associated with the names of LeCam and Hájek. The results are illustrated in the linear regression model.
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Nonparametric Statistics,robustness by Beran (1977–1984) and Millar (1979–1984). For the full neighborhoods and the usual procedures of robust statistics, however, bias will dominate the nonparametric as. statistical optimality results.
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Optimal Influence Curves,n, will subsequently be used just to quantify the costs of estimating a given functional (by its unique unbiased as. linear estimator). In addition, robustness aspects of functionals (e.g., their oscillations) will be taken into account. Optimization of the two criteria: nonparametric as. minimax ri
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Robust Regression,differentiable with . derivative and Fisher information of full rank given by.Thus the robustness results for general parameter apply with this ideal center model. Due to the regression structure, however, additional variants of neighborhoods, bias terms, and corresponding optimization (and, in prin
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發(fā)表于 2025-3-23 05:45:47 | 只看該作者
0172-7397 ? Using a local asymptotic framework, we deal with both problems by linking up nonparametric statistical optimality with infinitesimal robust- ness criteria. Thus, seemingly separate developments in robust statistics are presented in a unifying way.978-1-4684-0626-9978-1-4684-0624-5Series ISSN 0172-7397 Series E-ISSN 2197-568X
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