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Autoregression for discrete processes mod 2

Published online by Cambridge University Press:  14 July 2016

Marek Kanter*
Affiliation:
Sir George Williams University, Montreal
*
*Now at the University of New South Wales.

Abstract

Given a ‘black box’ of logical elements, a sequence of independent random pulses is fed in and the output from the black box is observed. A procedure is given for estimating the parameters of the black box, in the case when the black box is constructed in a manner analogous to the classical autoregressive scheme.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Box, G. and Jenkins, G. (1970) Time Series Analysis, Forecasting and Control. Holden Day, San Francisco.Google Scholar
[2] Klotz, J. (1973) Statistical inference in Bernoulli trials with dependence. Ann. Statist. 1, 373379.Google Scholar
[3] Lomnicki, Z. A. and Zaremba, S. K. (1955) Some applications of zero-one processes. J. R. Statist. Soc. B. 17, 243255.Google Scholar
[4] Masry, E. (1972) On covariance functions of unit processes. SIAM J. Appl. Math. 23, 2833.Google Scholar
[5] Shepp, L. Covariance of unit processes. Unpublished manuscript.Google Scholar