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Limit theorems

  • Marius Iosifescu
  • Cor Kraaikamp
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 547)

Abstract

This chapter is devoted to functional versions of central limit and other weak theorems, and of the law of the iterated logarithm for the incomplete quotients and associated random variables. The reader should keep in mind throughout that the sequence \( {\left( {{a_n}} \right)_{n \in {N_ + }}} \) of incomplete quotients is ψ-mixing under different probability measures on B I (see Subsections 1.3.6 and 2.3.4), while frequent reference is made to the three appendices at the end of the book.

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Marius Iosifescu
    • 1
  • Cor Kraaikamp
    • 2
  1. 1.Centre for Math. Statistics “Gheorghe Mihoc”Romanian AcademyBucharestRomania
  2. 2.Delft University of Technology, ITS (CROSS)DelftThe Netherlands

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