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Doubly censored power-normal regression models with inflation

Author

Listed:
  • Guillermo Martínez-Flórez
  • Heleno Bolfarine
  • Héctor Gómez

Abstract

In this paper we consider power distributions for modeling proportions or rates with zero and/or one inflation as an alternative to beta regression. The considered model is a mixture between a Bernoulli type process for explaining the zero and/or one responses and a limited power-normal model for explaining the continuous responses. We consider extensions by incorporating covariates in both stages of the modeling process. An advantage of the power-normal distribution is its simple distribution function, easy to deal with in censored situations. The likelihood approach is considered for parameter estimation and model comparison. Given the flexibility of the power-normal distribution, we are able to show, in practical scenarios, the better performance of our proposal over the beta regression model with zero and/or one excess (BIZU). Copyright Sociedad de Estadística e Investigación Operativa 2015

Suggested Citation

  • Guillermo Martínez-Flórez & Heleno Bolfarine & Héctor Gómez, 2015. "Doubly censored power-normal regression models with inflation," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 265-286, June.
    • Handle: RePEc:spr:testjl:v:24:y:2015:i:2:p:265-286
    DOI: 10.1007/s11749-014-0406-2
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    References listed on IDEAS

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