monhess {fda}

Evaluate the Hessian matrix of a monotone function

Description

Evaluates the hessian or second derivative matrix of a monotone function with respect to the coefficients definingthe log-first derivative $W(t)$ at each of a set of argument values.

Usage

monhess(x, Wfd, basislist)

Arguments

x

A numerical vector at which function and derivative are evaluated.

Wfd

A functional data object.

basislist

A list containing values of basis functions.

Value

A three dimensional array with first dimension corresponding to argument values and second and third dimensions to number of basis functions defining $W$.

Author(s)

J. O. Ramsay

References

Ramsay, James O., Hooker, G. and Graves, S. (2009), Functional Data Analysis with R and Matlab, Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2005), Functional Data Analysis, 2nd ed., Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2002), Applied Functional Data Analysis, Springer, New York.

See Also

monfn, mongrad, landmarkreg, smooth.morph