Abstract

For a general multivariate linear model, robust sequential point and interval estimators based on suitable rank order statistics are proposed and studied in this chapter. In a nonsequential setup, parallel procedures were considered by Sen and Puri. In addition, the sequential point estimation problem based on sample means had been studied earlier by Blum et al and later, in a more general setup, by Mogyorodi, among others. The chapter presents the problems and the preliminary notions and basic assumptions associated with some sequential nonparametric estimators in some multivariate linear models. The chapter also focuses on the problem of robust sequential interval estimation.

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