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Title of Journal: Acta Math Hungar

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Abbravation: Acta Mathematica Hungarica

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Springer Netherlands

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DOI

10.1007/bf01614344

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1588-2632

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The Baum–Katz theorem for dependent sequences

Authors: N V Huan
Publish Date: 2016/12/19
Volume: 151, Issue: 1, Pages: 162-172
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Abstract

We propose an approach to the Baum–Katz theorem for dependent random sequences Using this result we obtain the rate of convergence in the strong law of large numbers for sequences of independent random elements in Rademacher type p Banach spaces and for sequences of negatively associated random variables

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Other Papers In This Journal:
  1. Weightable quasi-uniformities
  2. Rings of quotients of some infinite dimensional path algebras
  3. On complete convergence in mean for double sums of independent random elements in Banach spaces
  4. A note on the generalized rank reduction
  5. Existence and optimality of w -non-adjacent forms with an algebraic integer base
  6. Veldsman’s classes of associative rings
  7. Atomic decompositions of martingale hardy–morrey spaces
  8. A characterization of polyharmonic functions
  9. A note on invariant sets of iterated function systems
  10. On complete convergence and the strong law of large numbers for pairwise independent random variables
  11. Polynomial approximation with an exponential weight on the real semiaxis
  12. Best L 1 Approximation of Truncated Functions, Whitney-Type and Borh–Favard-Type Inequalities
  13. On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces
  14. A categorical approach to absolute closure
  15. Planar zero divisor graphs of partially ordered sets
  16. On a problem in additive number theory
  17. On powers of relational and algebraic systems
  18. Inequalities for entire functions of exponential type satisfying $$ f(z) \equiv e^{i\gamma } e^{i\tau z} \overline {f(\bar z)} $$
  19. Local stability of a generalized Cauchy equation in Banach spaces
  20. A note on W - I -continuous functions
  21. A Remark on The Geometry of Spaces of Functions with Prime Frequencies
  22. Hua’s theorem with nine almost equal prime variables
  23. A weak type inequality for the maximal operator of ( C, α )-means of Fourier series with respect to the Walsh-Kaczmarz system
  24. Unification of generalized open sets on topological spaces
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