Estimating linear regression models for tourist length of stay using on-site and border samples

This study examines the estimation of linear regression models for length of stay using on-site versus border-point samples. We show that Ordinary Least Squares (OLS) based on on-site samples is inconsistent, whereas OLS estimators from border-point samples are consistent. However, consistent estimates can be recovered from on-site samples by applying Weighted Least Squares. We also demonstrate that the inconsistency of OLS affects survival models that admit an Accelerated Failure-Time (AFT) specification. These findings challenge the validity of empirical studies relying on on-site samples and linear regression or survival models that admit an AFT formulation.

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Publication Details

Journal
Tourism Economics
Published
2026-05-30
DOI
https://doi.org/10.1177/13548166261448325
Primary Topic
Transportation Planning and Optimization
Type
article
Field-Weighted Citation Impact
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article

Estimating linear regression models for tourist length of stay using on-site and border samples

Andreu Sansó
Tourism Economics
Transportation Planning and Optimization
article

Estimating linear regression models for tourist length of stay using on-site and border samples

Andreu Sansó
article en

Abstract

This study examines the estimation of linear regression models for length of stay using on-site versus border-point samples. We show that Ordinary Least Squares (OLS) based on on-site samples is inconsistent, whereas OLS estimators from border-point samples are consistent. However, consistent estimates can be recovered from on-site samples by applying Weighted Least Squares. We also demonstrate that the inconsistency of OLS affects survival models that admit an Accelerated Failure-Time (AFT) specification. These findings challenge the validity of empirical studies relying on on-site samples and linear regression or survival models that admit an AFT formulation.

Tourism Economics
Health Research Institute of the Balearic Islands (ES), Fundació Universitat-Empresa de les Illes Balears (ES), Universitat de les Illes Balears (ES)
Openalex Percentile: Top 3%
Transportation Planning and Optimization
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