Some Convergence Theorems On Linear Models Generating A Pair Of Related Time Series
Journal: International Journal of Scientific & Technology Research (Vol.6, No. 4)Publication Date: 2017-04-15
Authors : Siddamsetty Upendra; R. Abbaiah;
Page : 119-127
Keywords : Time series definition; Stationary process; non-stationary process; assumptions of stationary; stochastic models for time series; some of the pivotal lemmas.;
Abstract
The main aim of this paper is to establish some convergence theorems on Linear Models Generating a Pair of Related Time Series of certain covariance type functions relating to the model specified. The estimates of residual are obtained on using the estimators defined under different placements of the roots 269611 and 269612 of P z. This work is motivated by similar studies on linear stochastic difference equations for scalar time series. The pivotal lemmas concerned with the statements and proofs of some lemmas.
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