Estimation Of Multiple Linear Functional Relationships

Estimation Of Multiple Linear Functional Relationships

Maximum Likelihood Estimation of Parameters in Generalized Functional Linear Model

Sometimes, in practice, data are a function of another variable, which is called functional data. If the scalar response variable is categorical or discrete, and the covariates are functional, then a generalized functional linear model is used to analyze this type of data. In this paper, a truncated generalized functional linear model is studied and a maximum likelihood approach is used to esti...

Optimal Linear Estimation Fusion—Part V: Relationships

In this paper, we continue our study of optimal linear estimation fusion in a unified, general, and systematic setting. We clarify relationships among various BLUE and WLS fusion rules with complete, incomplete, and no prior information presented in Part I before; and we quantify the effect of prior information and data on fusion performance, including conditions under which prior information o...

Adaptive estimation in circular functional linear models

We consider the problem of estimating the slope parameter in circular functional linear regression, where scalar responses Y1, . . . , Yn are modeled in dependence of 1periodic, second order stationary random functions X1, . . . , Xn. We consider an orthogonal series estimator of the slope function β, by replacing the first m theoretical coefficients of its development in the trigonometric basi...

Linear Models for Functional Data

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