In this paper recent advances in zero-non-zero patterned vector error correction modelling (VECM) have been utilised to test two hypotheses which are important for price formation in the world metal markets. The first hypothesis is the existence of a long-term relationship between metal...

A vector time series model of the form A(L)y(t)+B(L)x(t)=e(t), is known as a vector autoregressive model with exogenous variables (VARX model) and involves a regressand vector y(t) and a regressor vector x(t). This chapter provides a method for the recursive fitting of subset VARX models. It...

In this chapter, an efficient adaptive algorithm for multichannel subset autoregression identification using the prewindowed case is developed. After the initialization is carried out by the direct method, the optimum multichannel subset autoregression at each time instant is selected by...

In this chapter, a procedure is presented to use the bootstrap in choosing the best approximation in terms of forecasting performance for the equivalent state-space representation of a vector autoregressive model. It is found that the proposed procedure, which uses each approximant's forecasting...

In the situations where restrictions on the multivariate subset AR model are known, we propose methods of providing suitable standard errors of estimate and prediction which assist in assessing the importance of the coefficients appearing the 'derived' moving-average (MA) model. The coefficient...

The necessary and sufficient condition to test for 'overall causality', i.e., the presence of Granger-causality and instantaneous causal relations, in a bivariate and trivariate autoregressive model with recursive form is discussed. It is argued that the conventional AR model (the reduced form...

This chapter uses a modified block Choleski decomposition method and tree pruning algorithms to attain the best multivariate subset autoregression for each size (number of non-zero coefficient matrices). Model selection criteria are then employed to select the optimum multivariate subset AR. A...

The recursive algorithm to select the optimum multivariate real subset autoregressive model (AR) [1] is generalized to apply to multichannel complex subset AR's. It is initiated by fitting all 'forward' and 'backward' one-lag AR's. The method then allows one to develop successively all complex...

The paper comprises the preface and chapter 1 of the book titled "Financial and Economic Forecasting" (Authors: Penm-Penm-Terrell; Publication date: October 2002). The preface provides explanatory remarks at the beginning of the book. It briefly introduces theoretical developments and empirical...

A vector autoregressive model with exogenous variables (VARX model) involves a regressand vector y(t) and a regressor vector x(t). This chapter provides a method for the recursive fitting of subset VARX models. It suggests the use of ascending recursions in conjunction with an order selection...