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*NEW*

Practical Smoothing: The Joys of P-Splines

This is a practical guide to P-splines, a simple, flexible and powerful tool for smoothing. P-splines combine regression on B-splines with simple, discrete, roughness penalties. They were introduced by the authors in 1996 and have been used in many diverse applications. The regression basis makes it straightforward to handle non-normal data, like in generalized linear models. The authors demonstrate optimal smoothing, using mixed model technology and Bayesian estimation, in addition to classical tools like cross-validation and AIC, covering theory and applications with code in R. Going far beyond simple smoothing, they also show how to use P-splines for regression on signals, varying-coefficient models, quantile and expectile smoothing, and composite links for grouped data. Penalties are the crucial elements of P-splines; with proper modifications they can handle periodic and circular data as well as shape constraints. Combining penalties with tensor products of B-splines extends these attractive properties to multiple dimensions. An appendix offers a systematic comparison to other smoothers.

https://psplines.bitbucket.io/

https://www.cambridge.org/za/academic/subjects/statistics-probability/computational-statistics-machine-learning-and-information-sc/practical-smoothing-joys-p-splines?format=HB&isbn=9781108482950

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Regression: Models, Methods, and Applications

The aim of this book is an applied and unified introduction into parametric, non- and semiparametric regression that closes the gap between theory and application. The most important models and methods in regression are presented on a solid formal basis, and their appropriate application is shown through many real data examples and case studies. Availability of (user-friendly) software has been a major criterion for the methods selected and presented. Thus, the book primarily targets an audience that includes students, teachers and practitioners in social, economic, and life sciences, as well as students and teachers in statistics programs, and mathematicians and computer scientists with interests in statistical modeling and data analysis. It is written on an intermediate mathematical level and assumes only knowledge of basic probability, calculus, and statistics. The most important definitions and statements are concisely summarized in boxes. Two appendices describe required matrix algebra, as well as elements of probability calculus and statistical inference.

https://www.buecher.de/shop/betriebsstatistik/regression-ebook-pdf/fahrmeir-ludwig-kneib-thomas-lang-stefan-marx-brian/products_products/detail/prod_id/43784493/

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The SAGE Handbook of Multilevel Modeling

In this important new Handbook, the editors have gathered together a range of leading contributors to introduce the theory and practice of multilevel modeling. The Handbook establishes the connections in multilevel modeling, bringing together leading experts from around the world to provide a roadmap for applied researchers linking theory and practice, as well as a unique arsenal of state-of-the-art tools. It forges vital connections that cross traditional disciplinary divides and introduces best practice in the field.

https://us.sagepub.com/en-us/nam/the-sage-handbook-of-multilevel-modeling/book235673

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Statistical Modeling: An International Journal

This journal is published by SAGE Publications on behalf of the Statistical Modelling Society. It publishes original and high-quality articles that recognize statistical modelling as the general framework for the application of statistical ideas. Submissions must reflect important developments, extensions, and applications in statistical modelling. The journal also encourages submissions that describe scientifically interesting, complex or novel statistical modelling aspects from a wide diversity of disciplines, and submissions that embrace the diversity of applied statistical modelling. See aims and scope of the journal for more information. If you wish to contact the editors of the journal Statistical Modelling, please email to journal@statmod.org. This journal is a member of the Committee on Publication Ethics (COPE).

https://us.sagepub.com/en-us/nam/journal/statistical-modelling