MortalitySmooth (version 2.3.4)

Mort1Dsmooth_estimate: Estimate 1D P-splines for a given lambda

Description

This is an internal function of package MortalitySmooth which estimates coefficients and computes diagnostics for penalized B-splines for a given smoothing parameter within the function Mort1Dsmooth.

Usage

Mort1Dsmooth_estimate(x, y, offset, wei, psi2, B, lambda, DtD, a.init, MON, TOL1, MAX.IT)

Arguments

x

Vector for the abscissa of data.

y

Vector of counts response.

offset

Vector with an a priori known component (optional).

wei

An optional vector of weights to be used in the fitting process.

psi2

Overdispersion parameter.

B

B-splines basis.

lambda

Smoothing parameter.

DtD

Inner product of the difference matrix.

a.init

Vector with the initial coefficients.

MON

Logical switch indicating if monitoring is required.

TOL1

The tolerance level in the IWLS algorithm.

MAX.IT

The maximum number of iterations.

Value

A list with components:

a

fitted coefficients.

h

diagonal of the hat-matrix.

df

effective dimension of used degree of freedom.

aic

Akaike's Information Criterion.

bic

Bayesian Information Criterion.

dev

Poisson deviance.

tol

tolerance level.

BtWB

inner product of basis and weights.

P

penalty matrix.

Details

Internal function used in Mort1Dsmooth for estimating coefficients and computing diagnostics.

See Also

Mort1Dsmooth_update, Mort1Dsmooth.