ks (version 1.3.2)

Hlscv, Hlscv.diag: Least-squares cross-validation (LSCV) bandwidth matrix selector for multivariate data

Description

LSCV bandwidth matrix for 2- to 6-dimensional data

Usage

Hlscv(x, Hstart)
Hlscv.diag(x, Hstart)

Arguments

x

matrix of data values

Hstart

initial bandwidth matrix, used in numerical optimisation

Value

• LSCV bandwidth matrix.

Details

Use Hlscv for full bandwidth matrices and Hlscv.diag for diagonal bandwidth matrices.

If Hstart is not given then it defaults to k*var(x) where k = $\left[\frac{4}{n(d+2)}\right]^{2/(d+4)}$, n = sample size, d = dimension of data.

References

Sain, S.R, Baggerly, K.A & Scott, D.W. (1994) Cross-validation of multivariate densities. Journal of the American Statistical Association. 82, 1131-1146.

Duong, T. & Hazelton, M.L. (2004) Cross-validation bandwidth matrices for multivariate kernel density estimation. Scandinavian Journal of Statistics. In press.

See Also

Hbcv, Hscv

Examples

data(unicef)
Hlscv(unicef)
Hlscv.diag(unicef)