Description Usage Arguments Details Value Warning References
View source: R/argumentChecks.R
is_stationary_int
checks the stationarity condition and is_identifiable
checks the identification condition
of the specified GMAR, StMAR, or G-StMAR model.
1 2 3 4 5 6 7 8 9 10 | is_stationary_int(p, M, params, restricted = FALSE)
is_identifiable(
p,
M,
params,
model = c("GMAR", "StMAR", "G-StMAR"),
restricted = FALSE,
constraints = NULL
)
|
p |
a positive integer specifying the autoregressive order of the model. |
M |
|
params |
a real valued parameter vector specifying the model.
Symbol φ denotes an AR coefficient, σ^2 a variance, α a mixing weight, and ν a degrees of
freedom parameter. If |
restricted |
a logical argument stating whether the AR coefficients φ_{m,1},...,φ_{m,p} are restricted to be the same for all regimes. |
model |
is "GMAR", "StMAR", or "G-StMAR" model considered? In the G-StMAR model, the first |
constraints |
specifies linear constraints imposed to each regime's autoregressive parameters separately.
The symbol φ denotes an AR coefficient. Note that regardless of any constraints, the autoregressive order
is always |
is_stationary_int
does not support models imposing linear constraints. In order to use it for a model imposing linear
constraints, one needs to expand the constraints first to obtain an unconstrained parameter vector.
Note that is_stationary_int
returns FALSE
for stationary parameter vectors if they are extremely close to the boundary
of the stationarity region.
is_identifiable
checks that the regimes are sorted according to the mixing weight parameters and that there are no duplicate
regimes.
Returns TRUE
or FALSE
accordingly.
These functions don't have any argument checks!
Kalliovirta L., Meitz M. and Saikkonen P. 2015. Gaussian Mixture Autoregressive model for univariate time series. Journal of Time Series Analysis, 36, 247-266.
Meitz M., Preve D., Saikkonen P. 2021. A mixture autoregressive model based on Student's t-distribution. Communications in Statistics - Theory and Methods, doi: 10.1080/03610926.2021.1916531
Virolainen S. 2021. A mixture autoregressive model based on Gaussian and Student's t-distributions. Studies in Nonlinear Dynamics & Econometrics, doi: 10.1515/snde-2020-0060
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