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              <p>Discriminant analysis or “supervised” classification for functional data occurs when for each curve or path of a stochastic process we have a single categorical response Y. Linear methods looks for predictors which may be expressed as an integral sum .Fisher’s linear discriminant function being  equivalent to a multiple regression with a coded response, one can use techniques for the regression problem when Y is continuous.  When t takes continuously its values in an interval [0;T], multicollinearity leads to inconsistent estimation of the parameters. Components derived from the Karhunen-Loeve decomposition are, for functional data, the equivalent of principal components regression (PCR). Partial least squares performs better than PCR, since principal components are obtained irrespective of the response (Preda &amp; al., 2007). Functional logistic regression is another approach advocated by Aguilera &amp; al , 2006. We determine an optimal time t* &lt;T giving a prediction based on [0;t*] almost as good as the prediction based on [0;T] (Costanzo &amp; al, 2006) by using a bootstrap test for  AUC criterion.</p>
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