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Ergodic Theory and Related Topics III pp 198–228Cite as

Invariance principles and central limit theorems for nonadditive, stationary processes

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References

  1. Akcoglu, M. A. and U. Krengel (1981) Ergodic Theorems for Superadditive Processes, J. Reine Ang. Math. 323,53–67

    MathSciNet  MATH  Google Scholar 

  2. Akcoglu, M. A. and L. Sucheston (1978) A Ratio Ergodic Theorem for Superadditive Processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete 44, 269–278

    Article  MathSciNet  MATH  Google Scholar 

  3. Berkes, I. and W. Philipp (1979) Approximation Theorems for Independent and weakly Dependent Random Vectors, Ann. Prob. 7,29–54

    Article  MathSciNet  MATH  Google Scholar 

  4. Billingsley P. (1968) Convergence of Probability Measures Wiley. New York

    MATH  Google Scholar 

  5. Gänssler, P. and W. Stute (1977) Wahrscheinlichkeitstheorie Springer Verlag Berlin-Heidelberg-New York

    Book  MATH  Google Scholar 

  6. Furstenberg, H. and H. Kesten (1960) Products of Random Matrices, Ann. Math. Statist. 39, 457–496

    Article  MathSciNet  MATH  Google Scholar 

  7. Ishitani, I. (1977) A Central Limit Theorem for the Subadditive Process and its Application to Products of Random Matrices, Publ. Rims. Kyoto Univ. 12,565–575

    Article  MathSciNet  MATH  Google Scholar 

  8. Ibragimov, I. A. and Linnik Y. a. V. (1971) Independent and Stationary Sequences of Random Variables Wolters-Nordhoff. Groningen

    MATH  Google Scholar 

  9. Jain, N. C. and W. E. Pruitt (1973) The range of random walk, Proc. Sixth. Berkeley Symp. Math. Statist. 3, 31–50

    MathSciNet  Google Scholar 

  10. J. F. C. Kingman (1968) The ergodic theory of subadditive stochastic processes, J. Roy. Statist. Soc. Ser. B, 30, 499–510

    MathSciNet  MATH  Google Scholar 

  11. Kuelbs, J. and W. Philipp (1980) Almost sure invariance principles for partial sums of mixing B-valued random variables, Ann. Prob. 8, 1003–1036

    Article  MathSciNet  MATH  Google Scholar 

  12. R. J. Serfling (1968) Contributions of Central Limit Theory for Dependent Variables, Ann. Math. Statist. 39, 1158–1175

    Article  MathSciNet  MATH  Google Scholar 

  13. V. Strassen (1965) Almost sure behavior of sums of independent random variables and martingales, Proc. Fifth. Berkeley Symp. Math. Statist. 2, 315–343

    MathSciNet  Google Scholar 

  14. U. Wacker (1983) Grenzwertsätze für nichtadditive, schwach abhängige Prozesse Dissertation, Göttingen

    Google Scholar 

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  1. Ulrich Wacker

    Present address: Institut für Mathematische Stochastik, Universität Göttingen, Lotzestraße 13, W - 3400, Göttingen

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    1. Ulrich Wacker
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    Ulrich Krengel Karin Richter Volker Warstat

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    © 1992 Springer-Verlag

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    Wacker, U. (1992). Invariance principles and central limit theorems for nonadditive, stationary processes. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097540

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    • DOI: https://doi.org/10.1007/BFb0097540

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    • Print ISBN: 978-3-540-55444-8

    • Online ISBN: 978-3-540-47076-2

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