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Titlebook: Maximum Likelihood Estimation of Functional Relationships; Nico J. D. Nagelkerke Book 1992 Springer-Verlag Berlin Heidelberg 1992 Covarian

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书目名称Maximum Likelihood Estimation of Functional Relationships
编辑Nico J. D. Nagelkerke
视频video
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Maximum Likelihood Estimation of Functional Relationships;  Nico J. D. Nagelkerke Book 1992 Springer-Verlag Berlin Heidelberg 1992 Covarian
描述The theory of functional relationships concerns itself with inference from models with a more complex error structure than those existing in regression models. We are familiar with the bivariate linear relationship having measurement errors in both variables and the fact that the standard regression estimator of the slope underestimates the true slope. One complication with inference about parameters in functional relationships, is that many of the standard properties of likelihood theory do not apply, at least not in the form in which they apply to e.g. regression models. This is probably one of the reasons why these models are not adequately discussed in most general books on statistics, despite their wide applicability. In this monograph we will explore the properties of likelihood methods in the context of functional relationship models. Full and conditional likelihood methods are both considered. Possible modifications to these methods are considered when necessary. Apart from exloring the theory itself, emphasis shall be placed upon the derivation of useful estimators and their second moment properties. No attempt is made to be mathematically rigid. Proofs are usually outline
出版日期Book 1992
关键词Covariance matrix; Estimator; Likelihood; Normal distribution; Random variable; Variance
版次1
doihttps://doi.org/10.1007/978-1-4612-2858-5
isbn_softcover978-0-387-97721-8
isbn_ebook978-1-4612-2858-5Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag Berlin Heidelberg 1992
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Nico J. D. Nagelkerkests interested in the growth of minerals and synthetic crystals, and their optical properties. It is also ideally suited to students of optical mineralogy, professional scientists and engineers as well as historians of science..978-90-481-7331-0978-1-4020-5353-5
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0930-0325 be placed upon the derivation of useful estimators and their second moment properties. No attempt is made to be mathematically rigid. Proofs are usually outline978-0-387-97721-8978-1-4612-2858-5Series ISSN 0930-0325 Series E-ISSN 2197-7186
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Nico J. D. Nagelkerkeally Anomalous Crystals begins with an historical introduction covering the contributions of Brewster, Biot, Mallard, Brauns, Tamman, and many other distinguished crystallographers. From this follows a tutorial in crystal optics. Further chapters discuss the two main mechanisms of optical dissymmetr
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Maximum Likelihood Estimation of Functional Relationships,rors, which we shall assume to have a zero mean i.e... This means that ξ.. is measured without systematic errors. Unless stated otherwise we shall assume that the distribution of e is not dependent on ξ..
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