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Linear Models and Spurious Observations

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  • Bovas Abraham
  • George E. P. Box

Abstract

A Bayesian approach is adopted here to make inferences about the parameters of a linear model in the possible presence of one or more spurious observations. The method proposed is illustrated by analysing a classical set of data.

Suggested Citation

  • Bovas Abraham & George E. P. Box, 1978. "Linear Models and Spurious Observations," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(2), pages 131-138, June.
    • Handle: RePEc:bla:jorssc:v:27:y:1978:i:2:p:131-138
    DOI: 10.2307/2346940
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    Cited by:

    1. Peña, Daniel & Tiao, George C., 1991. "Bayesian outliers functions for linear models," UC3M Working papers. Economics 5816, Universidad Carlos III de Madrid. Departamento de Economía.
    2. B. Abraham & W. Wei, 1984. "Inferences about the parameters of a time series model with changing variance," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 31(1), pages 183-194, December.
    3. Hans, Christopher M. & Peruggia, Mario & Wang, Junyan, 2023. "Empirical Bayes Model Averaging with Influential Observations: Tuning Zellner’s g Prior for Predictive Robustness," Econometrics and Statistics, Elsevier, vol. 27(C), pages 102-119.
    4. Justel, A. & Peña, Daniel, 1998. "Heterogeneity and model uncertainty in bayesian regression models," DES - Working Papers. Statistics and Econometrics. WS 6260, Universidad Carlos III de Madrid. Departamento de Estadística.
    5. Hamura, Yasuyuki & Irie, Kaoru & Sugasawa, Shonosuke, 2022. "Log-regularly varying scale mixture of normals for robust regression," Computational Statistics & Data Analysis, Elsevier, vol. 173(C).
    6. Guttman, Irwin & Peña, Daniel, 1992. "A Bayesian look at diagnostics in the univariate linear model," UC3M Working papers. Economics 2831, Universidad Carlos III de Madrid. Departamento de Economía.
    7. Justel, Ana & Peña, Daniel & Sánchez, María Jesús, 1994. "Grupos atípicos en modelos econométricos," DES - Documentos de Trabajo. Estadística y Econometría. DS 10755, Universidad Carlos III de Madrid. Departamento de Estadística.

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