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Generalized Additive Models for Location, Scale and Shape: A Distributional Regression Approach, with Applications

Generalized Additive Models for Location, Scale and Shape: A Distributional Regression Approach, with Applications

Stasinopoulos, Dimitrios M., Kneib, Thomas, Klein, Nadja, Mayr, Andreas and Heller, Gillian Z. (2024) Generalized Additive Models for Location, Scale and Shape: A Distributional Regression Approach, with Applications. Cambridge Series in Statistical and Probability Mathematics, 56 . Cambridge University Press, Cambridge, UK. ISBN 978-1009410069 (doi:https://doi.org/10.1017/9781009410076)

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Abstract

An emerging field in statistics, distributional regression facilitates the modelling of the complete conditional distribution, rather than just the mean. This book introduces generalized additive models for location, scale and shape (GAMLSS) – one of the most important classes of distributional regression. Taking a broad perspective, the authors consider penalized likelihood inference, Bayesian inference, and boosting as potential ways of estimating models and illustrate their usage in complex applications. Written by the international team who developed GAMLSS, the text's focus on practical questions and problems sets it apart. Case studies demonstrate how researchers in statistics and other data-rich disciplines can use the model in their work, exploring examples ranging from fetal ultrasounds to social media performance metrics. The R code and data sets for the case studies are available on the book's companion website, allowing for replication and further study.

Item Type: Book
Uncontrolled Keywords: GAMLSS; statistical modelling; machine learning; BAMLSS; GAMboostLSS
Subjects: H Social Sciences > HA Statistics
Q Science > Q Science (General)
Q Science > QA Mathematics
Faculty / School / Research Centre / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS)
Related URLs:
Last Modified: 15 May 2024 10:31
URI: http://gala.gre.ac.uk/id/eprint/47193

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