caa a22 4500 388070870 CHVBK 20180307125148.0 cr unu---uuuuu 161130e199905 xx s 000 0 eng 10.2143/AST.29.1.504606 doi S0515036100003494 pii (NATIONALLICENCE)cambridge-10.2143/AST.29.1.504606 Harris Glen R. Lend Lease Investment Management, Sydney Markov Chain Monte Carlo Estimation of Regime Switching Vector Autoregressions [Elektronische Daten] [Glen R. Harris] Financial time series data are typically found to possess leptokurtic frequency distributions, time varying volatilities, outliers and correlation structures inconsistent with linear generating processes, nonlinear dependence, and dependencies between series that are not stable over time. Regime Switching Vector Autoregressions are of interest because they are capable of explaining the observed features of the data, can capture a variety of interactions between series, appear intuitively reasonable, are vector processes, and are now tractable. This paper considers a vector autoregression subject to periodic structural changes. The parameters of a vector autoregression are modelled as the outcome of an unobserved discrete Markov process with unknown transition probabilities. The unobserved regimes, one for each time point, together with the regime transition probabilities, are determined in addition to the vector autoregression parameters within each regime. A Bayesian Markov Chain Monte Carlo estimation procedure is developed which efficiently generates the posterior joint density of the parameters and the regimes. The complete likelihood surface is generated at the same time, enabling estimation of posterior model probabilities for use in non-nested model selection. The procedure can readily be extended to produce joint prediction densities for the variables, incorporating both parameter and model uncertainty. Results using simulated and real data are provided. A clear separation of the variance between a stable and an unstable regime was observed. Ignoring regime shifts is very likely to produce misleading volatility estimates and is unlikely to be robust to outliers. A comparison with commonly used models suggests that Regime Switching Vector Autoregressions provide a particularly good description of the observed data. Copyright © International Actuarial Association 1999 Vector regime switching nationallicence joint parameter density nationallicence outliers nationallicence Gibbs sampler nationallicence Metropolis-Hastings algorithm nationallicence Markov Chain Monte Carlo nationallicence posterior model probabilities nationallicence model selection nationallicence ASTIN Bulletin Cambridge University Press 29/1(1999-05), 47-79 0515-0361 29:1<47 1999 29 ASB https://doi.org/10.2143/AST.29.1.504606 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2143/AST.29.1.504606 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Harris Glen R. Lend Lease Investment Management, Sydney NATIONALLICENCE 773 0- ASTIN Bulletin Cambridge University Press 29/1(1999-05), 47-79 0515-0361 29:1<47 1999 29 ASB CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge