Local Influence on Misclassification Probability

  • Published : 1996.03.01

Abstract

The local behaviour of the surface formed by the perturbed maximum likelihood estimator of the squared Mahalanobis distance is investigated. The study of the local behaviour allows a simultaneous perturbation on the samples of interest and it is effective in identifying influential observations.

Keywords

References

  1. Applied Statistics v.27 The influence function as an aid in outlier detection in discriminant analysis Campbell, N. A.
  2. Biometrika v.78 The influence of observations on misclassification probability estimates in linear discriminant analysis Critchley, F.;C. Vitiello
  3. Journal of the Royal Statistical Society Sec. B v.48 Assessment of local influence(with discussions) Cook, R. D.
  4. Journal of the American Statistical Association v.83 Regression transformation diagnostics using local influence Lawrance, A. J.
  5. Multivariate observations Seber, G. A. F.
  6. Statistics and Probability Letters v.14 Assessing local influence in linear regression models with first-order autoregressive or heteroscedastic error structure Tsai, C. H.;X. Wu