.postAR1

Draws from the posterior the autoregressive parameter of a stationary AR(1) process
without starting values.

internal

The output gap indicates the percentage difference between the actual output of an economy and its potential. Since potential output is a latent process, the estimation of the output gap poses a challenge and numerous filtering techniques have been proposed. 'RGAP' facilitates the estimation of a Cobb-Douglas production function type output gap, as suggested by the European Commission (Havik et al. 2014) <https://ideas.repec.org/p/euf/ecopap/0535.html>. To that end, the non-accelerating wage rate of unemployment (NAWRU) and the trend of total factor productivity (TFP) can be estimated in two bivariate unobserved component models by means of Kalman filtering and smoothing. 'RGAP' features a flexible modeling framework for the appropriate state-space models and offers frequentist as well as Bayesian estimation techniques. Additional functionalities include direct access to the 'AMECO' <https://economy-finance.ec.europa.eu/economic-research-and-databases/economic-databases/ameco-database_en> database and automated model selection procedures. See the paper by Streicher (2022) <http://hdl.handle.net/20.500.11850/552089> for details.

Sina Streicher

RGAP

Production Function Output Gap Estimation

.postAR1 function

<dl><dt>Y</dt>
<dd>a <code>Tn x 1</code> vector.</dd>
<dt>phi</dt>
<dd>a scalar containing the last draw of the autoregressive parameter \(\phi\).</dd>
<dt>phi0</dt>
<dd>a scalar containing the prior mean for <code>phi</code>.</dd>
<dt>Q0</dt>
<dd>a scalar containing the prior precision for <code>phi</code>.</dd>
<dt>sigma</dt>
<dd>a scalar containing the innovation variance.</dd>
<dt>lb</dt>
<dd>(optional) lower bound for <code>phi</code>.</dd>
<dt>ub</dt>
<dd>(optional) upper bound for <code>phi</code>.</dd></dl>

Arguments

Draws from the posterior the autoregressive parameter of a stationary AR(1) process
without starting values. — .postAR1

<dl>

<dt>Y</dt>
<dd>a <code>Tn x 1</code> vector.</dd>


<dt>phi</dt>
<dd>a scalar containing the last draw of the autoregressive parameter \(\phi\).</dd>


<dt>phi0</dt>
<dd>a scalar containing the prior mean for <code>phi</code>.</dd>


<dt>Q0</dt>
<dd>a scalar containing the prior precision for <code>phi</code>.</dd>


<dt>sigma</dt>
<dd>a scalar containing the innovation variance.</dd>


<dt>lb</dt>
<dd>(optional) lower bound for <code>phi</code>.</dd>


<dt>ub</dt>
<dd>(optional) upper bound for <code>phi</code>.</dd>

</dl>

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.postAR1: Draws from the posterior the autoregressive parameter of a stationary AR(1) process without starting values.

Description

Usage

Arguments

Details