Boosted Beta Regression
Matthias Schmid,Florian Wickler,Kelly O. Maloney,Richard M. Mitchell,Nora Fenske,Andreas Mayr +5 more
TL;DR: B boosted beta regression is proposed, which is a generalization of logit models to situations where the response is continuous on the interval (0,1), and both the mean and the variance of a percentage response can be modeled using flexible nonlinear covariate effects.
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Abstract: Regression analysis with a bounded outcome is a common problem in applied statistics. Typical examples include regression models for percentage outcomes and the analysis of ratings that are measured on a bounded scale. In this paper, we consider beta regression, which is a generalization of logit models to situations where the response is continuous on the interval (0,1). Consequently, beta regression is a convenient tool for analyzing percentage responses. The classical approach to fit a beta regression model is to use maximum likelihood estimation with subsequent AIC-based variable selection. As an alternative to this established - yet unstable - approach, we propose a new estimation technique called boosted beta regression. With boosted beta regression estimation and variable selection can be carried out simultaneously in a highly efficient way. Additionally, both the mean and the variance of a percentage response can be modeled using flexible nonlinear covariate effects. As a consequence, the new method accounts for common problems such as overdispersion and non-binomial variance structures.
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References
Greedy function approximation: A gradient boosting machine.
TL;DR: A general gradient descent boosting paradigm is developed for additive expansions based on any fitting criterion, and specific algorithms are presented for least-squares, least absolute deviation, and Huber-M loss functions for regression, and multiclass logistic likelihood for classification.
•Book
Limited-Dependent and Qualitative Variables in Econometrics
G. S. Maddala
- 01 Jan 1983
TL;DR: In this article, the authors present a survey of the use of truncated distributions in the context of unions and wages, and some results on truncated distribution Bibliography Index and references therein.
15.5K
Updated world map of the Köppen-Geiger climate classification
TL;DR: In this paper, a new global map of climate using the Koppen-Geiger system based on a large global data set of long-term monthly precipitation and temperature station time series is presented.
World Map of the Köppen-Geiger climate classification updated
TL;DR: A new digital Koppen-Geiger world map on climate classification, valid for the second half of the 20 th century, based on recent data sets from the Climatic Research Unit of the University of East Anglia and the Global Precipitation Climatology Centre at the German Weather Service.
•Book
Generalized Additive Models: An Introduction with R, Second Edition
Simon N Wood
- 30 May 2017
TL;DR: In this article, a simple linear model is proposed to describe the geometry of linear models, and a general linear model specification in R is presented. But the theory of linear model theory is not discussed.
8.5K