Local influence in elliptical linear regression models

Journal of the Royal Statistical Society Series D: The Statistician

Volumn 46, Issue 1, 1997, Pages 71-79

  Galea, Manuel ^b   Paula, Gilberto A ^a   Bolfarine, Heleno ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b NONE

Author keywords

Diagnostic; Influence; Likelihood displacement; Multivariate symmetric distributions

Indexed keywords

EID: 0002222528     PISSN: 00390526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9884.00060     Document Type: Article

References (18)

1. Atkinson, A. C. (1985) Plots, Transformations, and Regression. Oxford: Clarendon.
2. Beckman, R. J., Nachtsheim, C. J. and Cook, R. D. (1987) Diagnostics for mixed-model analysis of variance. Technometrics, 29, 413-426.
3. Belsley, D. A., Kuh, E. and Welsch, R. E. (1980) Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. New York: Wiley.
4. Carroll, R. J. and Ruppert, D. (1985) Transformations in regression: a robust analysis. Technometrics, 27, 1-12.
5. Chatterjee, S. and Hadi, A. S. (1988) Sensitivity Analysis in Linear Regression. New York: Wiley.
6. Cook, R. D. (1986) Assessment of local influence (with discussion) J. R. Statist. Soc. B, 48, 133-169.
7. _(1987) Influence assessment. J. Appl. Statist., 14, 117-131.
8. Cook, R. D. and Weisberg, S. (1982) Residuals and Influence in Regression. London: Chapman and Hall.
9. Davison, A. C. and Tsai, C.-L. (1992) Regression model diagnostics. Int. Statist. Rev., 60, 337-353.
10. Fang, K. T. and Anderson, T. W. (1990) Statistical Inference in Elliptical Contoured and Related Distributions. New York: Allerton.
11. Fang, K. T., Kotz, S. and Ng, K. W. (1990) Symmetric Multivariate and Related Distributions. London: Chapman and Hall.
12. Fang, K. T. and Zhang, Y. T. (1990) Generalized Multivariate Analysis. London: Springer.
13. Kim, M. G. (1995) Local influence in multivariate regression. Communs Statist. Theory Meth., 24, 1271-1278.
14. Lawrance, A. J. (1988) Regression transformation diagnostics using local influence. J. Am. Statist. Ass., 84, 125-141.
15. Paula, G. A. (1993) Assessing local influence in restricted regression models. Comput. Statist. Data Anal., 16, 63-79.
16. Ruppert, D. and Carroll, R. J. (1980) Trimmed least squares estimation in the linear model. J. Am. Statist. Ass., 75, 828-838.
17. Thomas, W. and Cook, R. D. (1990) Assessing influence on predictions from generalized linear models. Technometrics, 32, 59-65.
18. Tsai, C.-H. and Wu, X. (1992) Assessing local influence in linear regression models with first-order autoregressive or heteroscedastic error structure. Statist. Probab. Lett., 14, 247-252.