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Titlebook: Vector Generalized Linear and Additive Models; With an Implementati Thomas W. Yee Textbook 2015 Thomas Yee 2015 Additive Model Theory.Gener

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书目名称Vector Generalized Linear and Additive Models
副标题With an Implementati
编辑Thomas W. Yee
视频video
概述First comprehensive book on Vector Generalized Linear Models.Builds on success of VGAM R package, which is used to show applications of the methodology.Techniques on regression and parametric and non-
丛书名称Springer Series in Statistics
图书封面Titlebook: Vector Generalized Linear and Additive Models; With an Implementati Thomas W. Yee Textbook 2015 Thomas Yee 2015 Additive Model Theory.Gener
描述.This book presents a greatly enlarged statistical framework compared to generalized linear models (GLMs) with which to approach regression modelling. Comprising of about half-a-dozen major classes of statistical models, and fortified with necessary infrastructure to make the models more fully operable, the framework allows analyses based on many semi-traditional applied statistics models to be performed as a coherent whole..Since their advent in 1972, GLMs have unified important distributions under a single umbrella with enormous implications. However, GLMs are not flexible enough to cope with the demands of practical data analysis. And data-driven GLMs, in the form of generalized additive models (GAMs), are also largely confined to the exponential family. The methodology here and accompanying software (the extensive VGAM R package) are directed at these limitations and are described comprehensively for the first time in one volume. This book treats distributions and classical models as generalized regression models, and the result is a much broader application base for GLMs and GAMs..The book can be used in senior undergraduate or first-year postgraduate courses on GLMs or catego
出版日期Textbook 2015
关键词Additive Model Theory; Generalized Linear Models; Linear Models; Model Application with R; Regression Mo
版次1
doihttps://doi.org/10.1007/978-1-4939-2818-7
isbn_softcover978-1-4939-4198-8
isbn_ebook978-1-4939-2818-7Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightThomas Yee 2015
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Reduced-Rank VGLMsLMs except some of their constraint matrices are estimated. RR-VGLMs have with interesting properties and applications. It is a dimension-reduction method, e.g., when applied to the multinomial logit model it leads to the stereotype model. Another related class of models is row–column interaction mo
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Constrained Quadratic Ordinationconstrained quadratic ordination (CQO). QRR-VGLMs have a lot of potential applications in ecology where species–site data are collected. Topics include the basic ideas of ordination, the species packing model, latent variables as gradients, CQO estimation and interpretation, biplots, and calibration
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Using the , Packagen trouble shooting and tricks, S4 versus S3 nuances, and some details are given on some selected methods functions, e.g., ., .. Many of the topics will be revision for the seasoned . user. This chapter assumes prior familiarity with .. Note that the software details presented here are subject to cha
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Some LM and GLM Variantsgly unrelated regressions (SUR), the Tobit model (censored LM), and AR(1) time series model (correlated data over time). And for logistic regression, this can be extended to bivariate binary responses, a two-stage sequential binomial process, and double-exponential family models.
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Univariate Discrete Distributionser variants, such as positive (zero-truncated), zero-inflated and zero-altered models, are described in a later chapter. A section is devoted to negative binomial regression, and it is shown that the VGLM/VGAM framework allows quite a number of variants to be naturally fitted.
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Univariate Continuous Distributionslated according to their support, and/or the distribution from which they are derived (e.g., beta-type, gamma-type), and/or their purpose (e.g., statistical size distributions, actuarial distributions).
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