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ON THE EXISTENCE OF THE STATIONARY AND ERGODIC NEAR(p) MODEL
Journal article   Peer reviewed

ON THE EXISTENCE OF THE STATIONARY AND ERGODIC NEAR(p) MODEL

Kung-sik Chan
Journal of time series analysis, Vol.9(4), pp.319-328
First version received January 1988
07/1988
DOI: 10.1111/j.1467-9892.1988.tb00473.x

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Abstract

Abstract. The NEAR(2) model proposed by Lawrance and Lewis in 1985 is generalized to the NEAR(p) model. A necessary and sufficient condition for the existence of an ‘innovation’ sequence and a stationary ergodic process satisfying the NEAR(p) model is derived. It is shown that the ‘innovation’ sequence is distributed as a mixture of exponentials. Copyright © 1988, Wiley Blackwell. All rights reserved
Ergodic exponential distribution NEAR(p) model partial fraction probabilistic mixture stationarity

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