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The optimal sampling procedure for estimating the mean of stationary Markov processes. (English) Zbl 0161.15802

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[1] R. F. Gebhard, ”A limit theorem for random interval sampling of a stochastic process,”Ann. Math. Statist., 35 (1964), 866–868. · Zbl 0124.10602 · doi:10.1214/aoms/1177703587
[2] H. Akaike, ”Effect of timing-error on the power spectrum of sampled-data,”Ann. Inst. Slot. Math., 11 (1960), 145–165. · Zbl 0242.60016 · doi:10.1007/BF01682325
[3] D. R. Cox, Renewal Theory, Matheuen’s Monographs on Applied Probability and Statistics, London, 1962.
[4] J. L. Doob, Stochastic Processes, John Wiley, New York, 1953, 518–526.
[5] U. Grenander and M. Rosenblatt,Statistical Analysis of Stationary Time Series, John Wiley, New York, 1957. · Zbl 0080.12904
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