Log-symmetric regression models: information criteria and application to movie business and industry data with economic implications

Marcelo Ventura, Helton Saulo, VICTOR ELISEO LEIVA SANCHEZ, Sandro Monsueto

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

This work deals with log-symmetric regression models, which are particularly useful when the response variable is continuous, strictly positive, and following an asymmetric distribution, with the possibility of modeling atypical observations by means of robust estimation. In these regression models, the distribution of the random errors is a member of the log-symmetric family, which is composed by the log-contaminated-normal, log-hyperbolic, log-normal, log-power-exponential, log-slash and log-Student-t distributions, among others. One way to select the best family member in log-symmetric regression models is using information criteria. In this paper, we formulate log-symmetric regression models and conduct a Monte Carlo simulation study to investigate the accuracy of popular information criteria, as Akaike, Bayesian, and Hannan-Quinn, and their respective corrected versions to choose adequate log-symmetric regressions models. As a business application, a movie data set assembled by authors is analyzed to compare and obtain the best possible log-symmetric regression model for box offices. The results provide relevant information for model selection criteria in log-symmetric regressions and for the movie industry. Economic implications of our study are discussed after the numerical illustrations.

Original languageEnglish
Pages (from-to)963-977
Number of pages15
JournalApplied Stochastic Models in Business and Industry
Volume35
Issue number4
DOIs
StatePublished - 1 Jan 2019

Keywords

  • log-symmetric distributions
  • maximum likelihood methods
  • model selection criteria
  • Monte Carlo simulation
  • movie data
  • R software
  • statistical modeling

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