M step of the EM algorithm for fitting Markov switching auto-regressive models with non homogeneous emissions and non homogeneous transitions.
Mstep.nn.MSAR(data, theta, FB,
covar.trans = covar.trans, covar.emis = covar.emis, method = NULL)array of univariate or multivariate series with dimension T*N.samples*d. T: number of time steps of each sample, N.samples: number of realisations of the same stationary process, d: dimension.
model's parameter; object of class MSAR. See also init.theta.MSAR.
Forward-Backward results, obtained by calling Estep.MSAR function
transitions covariates
emissions covariates (the covariates act on the intercepts)
permits to choice the optimization algorithm. default is "ucminf", other possible choices are "BFGS" or "L-BFGS-B
intercepts
AR coefficients
variance of innovation
prior probabilities
transition matrix
emission parameters
transitions parameters
Ailliot P., Monbet V., (2012), Markov switching autoregressive models for wind time series. Environmental Modelling & Software, 30, pp 92-101.
Mstep.hh.MSAR