3,369 research outputs found
Fitting Linear Mixed-Effects Models using lme4
Maximum likelihood or restricted maximum likelihood (REML) estimates of the
parameters in linear mixed-effects models can be determined using the lmer
function in the lme4 package for R. As for most model-fitting functions in R,
the model is described in an lmer call by a formula, in this case including
both fixed- and random-effects terms. The formula and data together determine a
numerical representation of the model from which the profiled deviance or the
profiled REML criterion can be evaluated as a function of some of the model
parameters. The appropriate criterion is optimized, using one of the
constrained optimization functions in R, to provide the parameter estimates. We
describe the structure of the model, the steps in evaluating the profiled
deviance or REML criterion, and the structure of classes or types that
represents such a model. Sufficient detail is included to allow specialization
of these structures by users who wish to write functions to fit specialized
linear mixed models, such as models incorporating pedigrees or smoothing
splines, that are not easily expressible in the formula language used by lmer.Comment: 51 pages, including R code, and an appendi
Semigroup approach to birth-and-death stochastic dynamics in continuum
We describe a general approach to the construction of a state evolution
corresponding to the Markov generator of a spatial birth-and-death dynamics in
. We present conditions on the birth-and-death intensities which
are sufficient for the existence of an evolution as a strongly continuous
semigroup in a proper Banach space of correlation functions satisfying the
Ruelle bound. The convergence of a Vlasov-type scaling for the corresponding
stochastic dynamics is considered.Comment: 35 page
Date 2013-02-18
Description Auxiliary functions and data sets for _Ecological Models and Data_, a book presenting maximum likelihood estimation and related topics for ecologists (ISBN 978-0-691-12522-0
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