dlm (version 1.1-6.1)

dlmModPoly: Create an n-th order polynomial DLM

Description

The function creates an \(n\)th order polynomial DLM.

Usage

dlmModPoly(order = 2, dV = 1, dW = c(rep(0, order - 1), 1),
           m0 = rep(0, order), C0 = 1e+07 * diag(nrow = order))

Value

An object of class dlm representing the required n-th order polynomial model.

Arguments

order

order of the polynomial model. The default corresponds to a stochastic linear trend.

dV

variance of the observation noise.

dW

diagonal elements of the variance matrix of the system noise.

m0

\(m_0\), the expected value of the pre-sample state vector.

C0

\(C_0\), the variance matrix of the pre-sample state vector.

Author

Giovanni Petris

References

Giovanni Petris (2010), An R Package for Dynamic Linear Models. Journal of Statistical Software, 36(12), 1-16. https://www.jstatsoft.org/v36/i12/.
Petris, Petrone, and Campagnoli, Dynamic Linear Models with R, Springer (2009).
West and Harrison, Bayesian forecasting and dynamic models (2nd ed.), Springer, 1997.

See Also

dlmModARMA, dlmModReg, dlmModSeas

Examples

## the default
dlmModPoly()
## random walk plus noise
dlmModPoly(1, dV = .3, dW = .01)