Limit predictions in the Tobit model: an alternative derivation approach

This method considers the problem of predicting already censored values of the dependent variable in the Tobit model. Assuming normality, it suggests a prediction formula that is equivalent to the classical correction using the inverse Mills ratio (IMR). The main contribution is providing an alternative derivation linking Ordinary Least Squares (OLS) and Maximum Likelihood Estimation (MLE) approaches, providing additional practical implementation insights. An extensive experimental investigation and robustness checks demonstrate the method's performance.

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Publication Details

Journal
Statistics Innovation
Published
2025-01-01
DOI
https://doi.org/10.48130/stati-0025-0004
Primary Topic
Simulation Techniques and Applications
Type
article
Field-Weighted Citation Impact
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article

Limit predictions in the Tobit model: an alternative derivation approach

Spyros Missiakoulis
Statistics Innovation
Simulation Techniques and Applications
article

Limit predictions in the Tobit model: an alternative derivation approach

Spyros Missiakoulis
article en

Abstract

This method considers the problem of predicting already censored values of the dependent variable in the Tobit model. Assuming normality, it suggests a prediction formula that is equivalent to the classical correction using the inverse Mills ratio (IMR). The main contribution is providing an alternative derivation linking Ordinary Least Squares (OLS) and Maximum Likelihood Estimation (MLE) approaches, providing additional practical implementation insights. An extensive experimental investigation and robustness checks demonstrate the method's performance.

Statistics InnovationVol. 2(1)
Philips College (CY)
Openalex Percentile: Top 75%
Simulation Techniques and Applications
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