Abstract
In this paper, estimation of coefficients of simultaneous linear partially explosive model of higher orders with moving average errors is considered. It has been shown that the above model can be decomposed into a purely explosive model and an autoregressive model. A two stage estimation, procedure is carried out towards proposing estimators for the partially explosive model. The asymptotic properties of these estimators are also studied.
Similar content being viewed by others
References
Diananda, P.H. (1953), Some probability limit theorems with statistical applications. Proc. Camb. Phil. Soc.,49, 239–246
Lai, T.L. and Wei, C.Z., (1982), Least squares estimator in stochastic regression models with applications to identification, and control of dynamic system. Ann. Statist.,10, 154–166
Lai, T. L. and Wei, C.Z., (1983), Asymptotic properties of general autoregressive models and strong consistency of least squares estimates of their parameters, Jour. Multi. Analysis,13, 1–23
Suresh Chandra, K. and Gopal, G., (1987), A limit theorem on a simultaneous linear model with moving average errors and its statistical implications. Jour. of Math. and Phy. Sci.,21, 147–166
Venkataraman, K.N., (1974), Convergence theorems on the least square estimators of the structural parameters of a linear explosive model, Ann. Inst. Statist. Math.,26, 61–85.
Venkataraman, K.N., (1975), Some convergence theorems on certain linear stochastic models of autoregressive nature, Jour. of Math. and Phy. Sci.,IX, 305–331
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gopal, G., Suresh Chandra, K. On the estimation of coefficients of a simultaneous linear explosive model of higher orders with moving average errors generating a pair of time series. Statistical Papers 32, 195–222 (1991). https://doi.org/10.1007/BF02925493
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02925493