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Bootstrapping Log Likelihood and EIC, an Extension of AIC

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  • Makio Ishiguro
  • Yosiyuki Sakamoto
  • Genshiro Kitagawa

Abstract

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Suggested Citation

  • Makio Ishiguro & Yosiyuki Sakamoto & Genshiro Kitagawa, 1997. "Bootstrapping Log Likelihood and EIC, an Extension of AIC," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(3), pages 411-434, September.
    • Handle: RePEc:spr:aistmt:v:49:y:1997:i:3:p:411-434
    DOI: 10.1023/A:1003158526504
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    Citations

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    Cited by:

    1. Sugiyama Masashi & Müller Klaus-Robert, 2005. "Input-dependent estimation of generalization error under covariate shift," Statistics & Risk Modeling, De Gruyter, vol. 23(4), pages 249-279, April.
    2. Patrick Ten Eyck & Joseph E. Cavanaugh, 2018. "An Alternate Approach to Pseudo-Likelihood Model Selection in the Generalized Linear Mixed Modeling Framework," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(1), pages 98-122, May.
    3. Davide fiaschi & Lisa Gianmoena & Angela Parenti, 2013. "The Determinants of Growth Rate Volatility in European Regions," Discussion Papers 2013/170, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    4. Davide fiaschi & Angela Parenti, 2013. "An Estimate of the Degree of Interconnectedness between European Regions: A Bayesian Model Averaging Approach," Discussion Papers 2013/171, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    5. Andrew Neath & Joseph Cavanaugh & Adam Weyhaupt, 2015. "Model evaluation, discrepancy function estimation, and social choice theory," Computational Statistics, Springer, vol. 30(1), pages 231-249, March.
    6. Ogasawara, Haruhiko, 2015. "Asymptotic cumulants of some information criteria," ビジネス創造センターディスカッション・ペーパー (Discussion papers of the Center for Business Creation) 10252/5446, Otaru University of Commerce.
    7. Alok Tiwari & Mohammed Aljoufie, 2021. "Modeling Spatial Distribution and Determinant of PM 2.5 at Micro-Level Using Geographically Weighted Regression (GWR) to Inform Sustainable Mobility Policies in Campus Based on Evidence from King Abdu," Sustainability, MDPI, vol. 13(21), pages 1-14, October.
    8. Shuichi Kawano, 2014. "Selection of tuning parameters in bridge regression models via Bayesian information criterion," Statistical Papers, Springer, vol. 55(4), pages 1207-1223, November.
    9. Patrick Ten Eyck & Joseph E. Cavanaugh, 2018. "Model selection criteria based on cross-validatory concordance statistics," Computational Statistics, Springer, vol. 33(2), pages 595-621, June.
    10. Kato Kengo, 2011. "A note on moment convergence of bootstrap M-estimators," Statistics & Risk Modeling, De Gruyter, vol. 28(1), pages 51-61, March.
    11. Yanagihara, Hirokazu & Tonda, Tetsuji & Matsumoto, Chieko, 2006. "Bias correction of cross-validation criterion based on Kullback-Leibler information under a general condition," Journal of Multivariate Analysis, Elsevier, vol. 97(9), pages 1965-1975, October.
    12. Philip Reiss & Lei Huang & Joseph Cavanaugh & Amy Roy, 2012. "Resampling-based information criteria for best-subset regression," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(6), pages 1161-1186, December.
    13. B. Liquet & C. Sakarovitch & D. Commenges, 2003. "Bootstrap Choice of Estimators in Parametric and Semiparametric Families: An Extension of EIC," Biometrics, The International Biometric Society, vol. 59(1), pages 172-178, March.
    14. Dimova, Rositsa B. & Markatou, Marianthi & Talal, Andrew H., 2011. "Information methods for model selection in linear mixed effects models with application to HCV data," Computational Statistics & Data Analysis, Elsevier, vol. 55(9), pages 2677-2697, September.
    15. Yanagihara, Hirokazu, 2006. "Corrected version of AIC for selecting multivariate normal linear regression models in a general nonnormal case," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1070-1089, May.
    16. Jhwueng Dwueng-Chwuan & Huzurbazar Snehalata & O’Meara Brian C. & Liu Liang, 2014. "Investigating the performance of AIC in selecting phylogenetic models," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 13(4), pages 459-475, August.
    17. Genshiro Kitagawa & Sadanori Konishi, 2010. "Bias and variance reduction techniques for bootstrap information criteria," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(1), pages 209-234, February.
    18. Fábio Bayer & Francisco Cribari-Neto, 2015. "Bootstrap-based model selection criteria for beta regressions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(4), pages 776-795, December.
    19. Christopher H. Jackson & Simon G. Thompson & Linda D. Sharples, 2009. "Accounting for uncertainty in health economic decision models by using model averaging," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(2), pages 383-404, April.
    20. Yang, Ji-Chung, 2005. "Impact measurement for public investment evaluation: An application to Korea," Journal of Policy Modeling, Elsevier, vol. 27(5), pages 535-551, July.
    21. Ogasawara, Haruhiko, 2015. "Asymptotic cumulants of some information criteria (2nd version)," ビジネス創造センターディスカッション・ペーパー (Discussion papers of the Center for Business Creation) 10252/5497, Otaru University of Commerce.

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