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Bootstrap prediction intervals in beta regressions

Author

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  • Patrícia Espinheira
  • Silvia Ferrari
  • Francisco Cribari-Neto

Abstract

We address the issue of constructing prediction intervals for responses that assume values in the standard unit interval, $$(0,1)$$ ( 0 , 1 ) . The response is modeled using the class of beta regression models and we introduce percentile and $$\hbox {BC}_a$$ BC a (bias-corrected and accelerated) bootstrap prediction intervals. We present Monte Carlo evidence on the finite sample behavior of such intervals. An empirical application is presented and discussed. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Patrícia Espinheira & Silvia Ferrari & Francisco Cribari-Neto, 2014. "Bootstrap prediction intervals in beta regressions," Computational Statistics, Springer, vol. 29(5), pages 1263-1277, October.
    • Handle: RePEc:spr:compst:v:29:y:2014:i:5:p:1263-1277
    DOI: 10.1007/s00180-014-0490-5
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    References listed on IDEAS

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    1. Silvia Ferrari & Francisco Cribari-Neto, 2004. "Beta Regression for Modelling Rates and Proportions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(7), pages 799-815.
    2. Cribari-Neto, Francisco & Zeileis, Achim, 2010. "Beta Regression in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 34(i02).
    3. Silvia L. P. Ferrari & Patricia L. Espinheira & Francisco Cribari‐Neto, 2011. "Diagnostic tools in beta regression with varying dispersion," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 65(3), pages 337-351, August.
    4. Patricia Espinheira & Silvia Ferrari & Francisco Cribari-Neto, 2008. "On beta regression residuals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(4), pages 407-419.
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    1. Tariq Maqsood & Mark Edwards & Ioanna Ioannou & Ioannis Kosmidis & Tiziana Rossetto & Neil Corby, 2016. "Seismic vulnerability functions for Australian buildings by using GEM empirical vulnerability assessment guidelines," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1625-1650, February.
    2. Cristine Rauber & Francisco Cribari-Neto & Fábio M. Bayer, 2020. "Improved testing inferences for beta regressions with parametric mean link function," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(4), pages 687-717, December.
    3. Tariq Maqsood & Mark Edwards & Ioanna Ioannou & Ioannis Kosmidis & Tiziana Rossetto & Neil Corby, 2016. "Seismic vulnerability functions for Australian buildings by using GEM empirical vulnerability assessment guidelines," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1625-1650, February.

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