get_allA_yti

<code>get_allA_yti</code> computes the autoregression matrices \(A_{y,t,i}\equiv \sum_{m=1}^M\alpha_{m,t}A_{m,i}\), for all lags \(i=1,...,p\)
 for a single time period, based on the regime autoregression matrices and transition weights.

internal

Penalized and non-penalized maximum likelihood estimation of smooth
transition vector autoregressive models with various types of transition weight
functions, conditional distributions, and identification methods. Constrained
estimation with various types of constraints is available. Residual based
model diagnostics, forecasting, simulations, counterfactual analysis, and
computation of impulse response functions, generalized impulse response functions,
generalized forecast error variance decompositions, as well as historical
decompositions. See
Heather Anderson, Farshid Vahid (1998) <doi:10.1016/S0304-4076(97)00076-6>,
Helmut Lütkepohl, Aleksei Netšunajev (2017) <doi:10.1016/j.jedc.2017.09.001>,
Markku Lanne, Savi Virolainen (2025) <doi:10.48550/arXiv.2403.14216>,
Savi Virolainen (2025) <doi:10.48550/arXiv.2404.19707>.

Savi Virolainen

sstvars

Toolkit for Reduced Form and Structural Smooth Transition Vector
Autoregressive Models

get_allA_yti function

<dl><dt>all_A</dt>
<dd>4D array containing the coefficient matrices of all regimes so that coefficient matrix
\(A_{m,i}\) can be obtained by choosing <code>[, , i, m]</code> (as obtained from <code>pick_allA</code>).</dd>
<dt>alpha_mt</dt>
<dd>an \((M \times 1)\) vector containing the time period \(t\) transition weights.</dd></dl>

Arguments

Compute the autoregression matrices \(A_{y,t,i}\equiv \sum_{m=1}^M\alpha_{m,t}A_{m,i}\) for all lags \(i=1,...,p\)
 for a single time period — get_allA_yti

<dl>

<dt>all_A</dt>
<dd>4D array containing the coefficient matrices of all regimes so that coefficient matrix
\(A_{m,i}\) can be obtained by choosing <code>[, , i, m]</code> (as obtained from <code>pick_allA</code>).</dd>


<dt>alpha_mt</dt>
<dd>an \((M \times 1)\) vector containing the time period \(t\) transition weights.</dd>

</dl>

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get_allA_yti: Compute the autoregression matrices $A_{y, t, i} \equiv \sum_{m = 1}^{M} α_{m, t} A_{m, i}$ for all lags $i = 1, . . ., p$ for a single time period

Description

Usage

Value

Arguments

Details