Mort1Dsmooth_estimate: Estimate 1D P-splines for a given lambda
In MortalitySmooth: Smoothing and Forecasting Poisson Counts with P-Splines

Description Usage Arguments Details Value Author(s) See Also

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.

1
2
3

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

`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.

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

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.