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A Note on Prediction and an Autoregressive Sequence

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Stochastic Processes

Abstract

Prediction for a first order possibly nonGaus-sian sequence is considered. Remarks are made about prediction with time increasing and with time reversed.

Research supported by ONR contract N00014–81–0003 and NSF grant DMS 83–12106.

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References

  1. R. Davis, and M. Rosenblatt, “Parameter estimates for some time series without contiguity” Statistics & Probability Letters 11 (1991) 515–521.

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  2. A. Garsia, “Arithmetic properties of Bernoulli convolutions” Trans. Amer. Math. Soc. 102 (1962) 409–432.

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  3. L. Shepp, D. Slepian, and A. Wyner, “On prediction of moving average processes” Bell Systems Tech. J. 59 (1988) 367–415.

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© 1993 Springer-Verlag New York, Inc.

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Rosenblatt, M. (1993). A Note on Prediction and an Autoregressive Sequence. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_32

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  • DOI: https://doi.org/10.1007/978-1-4615-7909-0_32

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7911-3

  • Online ISBN: 978-1-4615-7909-0

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