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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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.

小口啜飲

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).