This paper deals with estimation inside a functional linear model where the regressor is a random element in the space of square integrable functions and the regression coefficient is given by an unknown continuous linear functional to be estimated.The technique adopted is a sieve type least squares method which is consistently different from the technique adopted in the literature.
Simulation study for strong consistency in the weak topology of LS estimates for a functional linear model
FIORIN, SILVANO;
2007
Abstract
This paper deals with estimation inside a functional linear model where the regressor is a random element in the space of square integrable functions and the regression coefficient is given by an unknown continuous linear functional to be estimated.The technique adopted is a sieve type least squares method which is consistently different from the technique adopted in the literature.
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