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Robust inference in the negative binomial regression model with an application to falls data

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  • William H. Aeberhard
  • Eva Cantoni
  • Stephane Heritier

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  • William H. Aeberhard & Eva Cantoni & Stephane Heritier, 2014. "Robust inference in the negative binomial regression model with an application to falls data," Biometrics, The International Biometric Society, vol. 70(4), pages 920-931, December.
    • Handle: RePEc:bla:biomet:v:70:y:2014:i:4:p:920-931
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    File URL: http://hdl.handle.net/10.1111/biom.12212
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    References listed on IDEAS

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    1. Cantoni, Eva & Ronchetti, Elvezio, 2006. "A robust approach for skewed and heavy-tailed outcomes in the analysis of health care expenditures," Journal of Health Economics, Elsevier, vol. 25(2), pages 198-213, March.
    2. Croux, Christophe & Haesbroeck, Gentiane, 2003. "Implementing the Bianco and Yohai estimator for logistic regression," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 273-295, October.
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    Cited by:

    1. Peter Congdon, 2017. "Quantile regression for overdispersed count data: a hierarchical method," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-19, December.
    2. Aeberhard, William H. & Cantoni, Eva & Heritier, Stephane, 2017. "Saddlepoint tests for accurate and robust inference on overdispersed count data," Computational Statistics & Data Analysis, Elsevier, vol. 107(C), pages 162-175.
    3. Ayanendranath Basu & Abhik Ghosh & Abhijit Mandal & Nirian Martin & Leandro Pardo, 2021. "Robust Wald-type tests in GLM with random design based on minimum density power divergence estimators," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(3), pages 973-1005, September.
    4. P Alquier & M Gerber, 2024. "Universal robust regression via maximum mean discrepancy," Biometrika, Biometrika Trust, vol. 111(1), pages 71-92.
    5. Xie, Fang & Xiao, Zhijie, 2020. "Consistency of ℓ1 penalized negative binomial regressions," Statistics & Probability Letters, Elsevier, vol. 165(C).
    6. Alfio Marazzi & Marina Valdora & Victor Yohai & Michael Amiguet, 2019. "A robust conditional maximum likelihood estimator for generalized linear models with a dispersion parameter," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 223-241, March.
    7. Alfio Marazzi, 2021. "Improving the Efficiency of Robust Estimators for the Generalized Linear Model," Stats, MDPI, vol. 4(1), pages 1-20, February.
    8. Konstantin Klemmer & Tobias Brandt & Stephen Jarvis, 2018. "Isolating the effect of cycling on local business environments in London," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-31, December.
    9. Adewale F. Lukman & Olayan Albalawi & Mohammad Arashi & Jeza Allohibi & Abdulmajeed Atiah Alharbi & Rasha A. Farghali, 2024. "Robust Negative Binomial Regression via the Kibria–Lukman Strategy: Methodology and Application," Mathematics, MDPI, vol. 12(18), pages 1-16, September.
    10. Hanan Elsaied & Roland Fried, 2021. "On robust estimation of negative binomial INARCH models," METRON, Springer;Sapienza Università di Roma, vol. 79(2), pages 137-158, August.

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