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HQM (version 0.1.1)

dij: D matrix entries, used for the implementation of the local linear kernel

Description

Calculates the entries of the \(D\) matrix in the definition of the local linear kernel

Usage

dij(b,x,y, K)

Value

scalar value, the result of \(d_{jk}\).

Arguments

x

A vector of design points where the kernel will be evaluated.

y

A vector of sample data points.

b

The bandwidth to use (a scalar).

K

The kernel function to use.

Details

Implements the caclulation of all \(d \times d\) entries of matrix \(D\), which is part of the definition of the local linear kernel. The actual calculation is performed by $$ d_{jk} = \sum_{i=1}^n \int_0^T K_b(x-X_i(s))\{x-X_{ij}(s)\}\{x-X_{ik}(s)\} Z_i(s)ds, $$