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In this book, an integrated introduction to statistical inference
is provided from a frequentist likelihood-based viewpoint.
Classical results are presented together with recent developments,
largely built upon ideas due to R.A. Fisher. The term
"neo-Fisherian" highlights this.After a unified review of
background material (statistical models, likelihood, data and model
reduction, first-order asymptotics) and inference in the presence
of nuisance parameters (including pseudo-likelihoods), a
self-contained introduction is given to exponential families,
exponential dispersion models, generalized linear models, and group
families. Finally, basic results of higher-order asymptotics are
introduced (index notation, asymptotic expansions for statistics
and distributions, and major applications to likelihood
inference).The emphasis is more on general concepts and methods
than on regularity conditions. Many examples are given for specific
statistical models. Each chapter is supplemented with problems and
bibliographic notes. This volume can serve as a textbook in
intermediate-level undergraduate and postgraduate courses in
statistical inference.
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Paperback
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R205
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Discovery Miles 1 680
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