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astsa (version 1.12)

EM1: EM Algorithm for General State Space Models

Description

Estimation of the parameters in the general state space model via the EM algorithm. Inputs are not allowed; see the note.

Usage

EM1(num, y, A, mu0, Sigma0, Phi, cQ, cR, max.iter = 100, tol = 0.001)

Arguments

num

number of observations

y

observation vector or time series; use 0 for missing values

A

observation matrices, an array with dim=c(q,p,n); use 0 for missing values

mu0

initial state mean

Sigma0

initial state covariance matrix

Phi

state transition matrix

cQ

Cholesky-like decomposition of state error covariance matrix Q -- see details below

cR

R is diagonal here, so cR = sqrt(R) -- also, see details below

max.iter

maximum number of iterations

tol

relative tolerance for determining convergence

Value

Phi

Estimate of Phi

Q

Estimate of Q

R

Estimate of R

mu0

Estimate of initial state mean

Sigma0

Estimate of initial state covariance matrix

like

-log likelihood at each iteration

niter

number of iterations to convergence

cvg

relative tolerance at convergence

References

https://www.stat.pitt.edu/stoffer/tsa4/