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The strong law of large numbers for indicators of mixing sequences

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Bibliography

  1. J. Blum, D. Hansen, L. Koopmans, On the strong law of large numbers for a class of stochastic processes,Zeit. Wahrschein. ver. Geb.,2 (1) (1964).

  2. J. Doob,Stochastic processes, Wiley (1953).

  3. R. Fischler, Borel—Cantelli type theorems for mixing sets,Acta Math. Acad. Sci. Hung.,18 (1967), pp. 67–69.

    Google Scholar 

  4. P. Halmos,Lectures on ergodic, theory Chelsea (1956).

  5. I. Kozniewska, Sur les lois des grand nombres pour les variables aleatories,Colloq. Math.,10 (2) (1963), p. 296.

    Google Scholar 

  6. M. Loève,Probability theory, 2nd ed. D. V. Nostrand (1960).

  7. E. Parzen,Modern theory of probability, Wiley (1951).

  8. A. Rényi, On mixing sequences of sets,Acta Math. Acad. Sci. Hung.,9 (1958), pp. 215–228.

    Article  Google Scholar 

  9. A. Rényi, On stable sequences of events,Sankhya, series,A, vol.25, part 3 (1963), p. 293.

    Google Scholar 

  10. L. Sucheston, On mixing and the 0–1 law,Journal of Math. Analysis and Application,6 (1963), pp. 447–456;Bull. Amer. Math. Soc.,68 (1962), pp. 330–333. The results are also given in:Remarks on Kolmogorov autormorphisms, Ergodic theory, edited by Fred B. Wright, Academic Press (1963).

    Article  Google Scholar 

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Fischler, R.M. The strong law of large numbers for indicators of mixing sequences. Acta Mathematica Academiae Scientiarum Hungaricae 18, 71–81 (1967). https://doi.org/10.1007/BF02020963

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