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Note on the central limit theorem

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References

  1. Cramér, H.: Mathematical Methods of Statistics. Princeton University Press 1946.

  2. Diananda, P. H.: Some probability limit theorems with statistical applications. Proc. Cambridge Philos. Soc.49, 239–246 (1953).

    Google Scholar 

  3. Diananda, P. H.: The central limit theorem form-dependent variables asymptotically stationary to second order. Proc. Cambridge Philos. Soc.50, 287–292 (1954).

    Google Scholar 

  4. Feller, W.: Über den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung. Math. Z.40, 521–559 (1935).

    Google Scholar 

  5. Fréchet, M., andJ. Shohat: A proof of the generalized second limit theorem. Trans. Amer. Math. Soc.33, 533–543 (1931).

    Google Scholar 

  6. Hoeffding, W., andH. Robbins: The central limit theorem for dependent variables. Duke Math. J.15, 773–780 (1948).

    Google Scholar 

  7. Kallianpur, G.: On a limit theorem for dependent random variables (Russian). Dokl. Akad. Nauk. S.S.S.R. (N.S.)101, 13–16 (1955).

    Google Scholar 

  8. Kawata, T.: On the central limit theorem and the moment generating function. Rep. Statist. appl. Res. Un. Jap. Sci. Engrs.1, 6–21 (1951).

    Google Scholar 

  9. Lomnicki, Z. A., andS. K. Zaremba: On some moments and distributions occurring in the theory of linear stochastic processes I. Monatsh. Math.61, 318–358 (1957).

    Google Scholar 

  10. Marsaglia, G.: Iterated limits and the central limit theorem for dependent variables. Proc. Amer. Math. Soc.5, 987–991 (1954).

    Google Scholar 

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Zaremba, S.K. Note on the central limit theorem. Math Z 69, 295–298 (1958). https://doi.org/10.1007/BF01187410

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