Robust classification procedures based on dichotomous and continuous variables

For classifying a univariate or a multivariate observation in one of the two populations, Tiku and Balakrishnan (1984) and Balakrishnan, Tiku and Shaarawi (1985) developed robust (to departures from normality) procedures. These procedures are extended here to situations where the classification has to be based on the observed value of a pair of variables, one being a dichotomous random variable and the other a univariate or a multivariate continuous random variable.We are very grateful to the referees for their comments which led to a substantial improvement of an earlier draft of this paper. Thanks are also due to the Natural Sciences and Engineering Council of Canada for a research grant to M.L. Tiku.