Regression Quantiles under Heteroscedasticity and Multicollinearity: Analysis of Travel and Tourism Competitiveness
Regression Quantiles under Heteroscedasticity and Multicollinearity: Analysis of Travel and Tourism Competitiveness
Author(s): Jan Kalina, Petra Vašaničová, Eva LitavcovaSubject(s): Tourism
Published by: Ekonomický ústav SAV a Prognostický ústav SAV
Keywords: linear regression; model selection; robustness; regression quantiles; lasso; tourism;
Summary/Abstract: In the linear regression, heteroscedasticity and multicollinearity can be characterized as intertwined problems, which often simultaneously appear in econometric models. The aim of this paper is to discuss various approaches to regression modelling for heteroscedastic multicollinear data. A real economic dataset from the World Economic Forum serves as an illustration of various individual methods and the paper provides a practical motivation for quantile regression and particularly for regularized regression quantiles. In the dataset, tourist service infrastructure across 141 countries is modeled as a response of 12 characteristics of the Travel and Tourism Competitiveness Index (TTCI). Regression quantiles and their lasso estimates turn out to be more suitable for the dataset compared to more traditional econometric tools.
Journal: Ekonomický časopis
- Issue Year: 67/2019
- Issue No: 01
- Page Range: 69-85
- Page Count: 17
- Language: English