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Some thoughts on stationary processes and linear time series analysis

Published online by Cambridge University Press:  14 July 2016

C. C. Heyde
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Abstract

In this paper we trace the development of the asymptotic analysis of autocorrelations for stationary purely non-deterministic time series. We emphasize the interplay between mathematical requirements and modelling philosophy. We then proceed to extend the theory to the case where only a certain weak form of asymptotic independence of the linear prediction errors is needed rather than the earlier martingale difference or independence requirements.

Keywords

STATIONARY PROCESSESAUTOCORRELATIONSASYMPTOTICS
Type
Part 7 - Stationary Processes and Time Series
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 309 - 318
Copyright
Copyright © Applied Probability Trust 1988 

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