In this paper we develop and generalize the estimator of regression function for surrogate scalar response variable given a functional random one. Then, build up some asymptotic properties in terms almost complete convergences, depending result show superiority our term prediction.

his paper presents the estimator of conditional density function surrogated scalar response variable given a functional random one. We construct by using available (true) data and surrogate data. Then, we build up some asymptotic properties constructed in terms almost complete convergences. As result, compare our with classical through Relatif Mean Square Errors (RMSE). Finally, end this analys...