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Titlebook: Quasi-Likelihood And Its Application; A General Approach t Christopher C. Heyde Book 1997 Springer Science+Business Media New York 1997 Est

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发表于 2025-3-21 20:06:27 | 显示全部楼层 |阅读模式
书目名称Quasi-Likelihood And Its Application
副标题A General Approach t
编辑Christopher C. Heyde
视频video
概述The first account in book form.The author is one of the leading experts in this area
丛书名称Springer Series in Statistics
图书封面Titlebook: Quasi-Likelihood And Its Application; A General Approach t Christopher C. Heyde Book 1997 Springer Science+Business Media New York 1997 Est
描述This book is concerned with the general theory of optimal estimation of - rameters in systems subject to random e?ects and with the application of this theory. The focus is on choice of families of estimating functions, rather than the estimators derived therefrom, and on optimization within these families. Only assumptions about means and covariances are required for an initial d- cussion. Nevertheless, the theory that is developed mimics that of maximum likelihood, at least to the ?rst order of asymptotics. The term quasi-likelihood has often had a narrow interpretation, asso- ated with its application to generalized linear model type contexts, while that of optimal estimating functions has embraced a broader concept. There is, however, no essential distinction between the underlying ideas and the term quasi-likelihood has herein been adopted as the general label. This emphasizes its role in extension of likelihood based theory. The idea throughout involves ?nding quasi-scores from families of estimating functions. Then, the qua- likelihood estimator is derived from the quasi-score by equating to zero and solving, just as the maximum likelihood estimator is derived from the like-
出版日期Book 1997
关键词Estimator; Generalized linear model; Likelihood; Mathematica; STATISTICA; Variance; optimization; probabili
版次1
doihttps://doi.org/10.1007/b98823
isbn_softcover978-1-4757-7104-6
isbn_ebook978-0-387-22679-8Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer Science+Business Media New York 1997
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发表于 2025-3-21 21:30:15 | 显示全部楼层
An Alternative Approach: E-Sufficiency,ntial approach to parameter inference in cases where they are available. To adapt these basic concepts to the context of estimating functions, Small and McLeish developed the expectation based concepts of E-sufficiency, E-ancillarity, local E-sufficiency and local E-ancillarity. The basic idea is th
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Asymptotic Quasi-Likelihood,erion holds for either fixed . or for each . as . → ∞. Here we address the situation where the criteria for optimality are not satisfied exactly but hold in a certain asymptotic sense to be made precise below. These considerations give rise to an equivalence class of asymptotic quasi-likelihood esti
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Projected Quasi-Likelihood,ditioned on an ancillary statistic have received much attention. This discussion requires full specification of distributions and is consequently not directly available in quasi-likelihood context. However, conducting inference conditionally on a statistic . is equivalent to projecting onto the subs
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Infinite Dimensional Problems, in the neuronal membrane potential model . discussed earlier in Section 2.6 with parameters held constant, if changes in θ(t) over the recording interval 0 ≤ . ≤ . are important and the function needs to be estimated. Both the situation where . replica trajectories of {., 0 ≤ . ≤ . are observed and
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Miscellaneous Applications,godic theorem and involves no significant structural assumptions. Nevertheless, in various circumstances, such as for estimating the mean of a stationary process, it turns out that the method of moments (which estimates . = . by . produces an estimator that has the same asymptotic variance as the be
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Complements and Strategies for Application,pecial circumstances. The focus of the theory has usually been on polynomial functions of the data and these will not always provide ideal families of estimating functions. It must be remembered that the general theory requires estimating functions which are at least square integrable and if the und
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