Ideal Metrics with Respect to Summation Scheme for i.i.d. Random Variables

  • Svetlozar T. Rachev
  • Lev B. Klebanov
  • Stoyan V. Stoyanov
  • Frank J. Fabozzi


The subject of this chapter is the application of the theory of probability metrics to limit theorems arising from summing independent and identically distributed (i.i.d.) random variables (RVs).


Central Limit Theorem Separable Banach Space Probability Metrics Ideal Metrics Uniform Metrics 
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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Svetlozar T. Rachev
    • 1
    • 2
  • Lev B. Klebanov
    • 3
  • Stoyan V. Stoyanov
    • 4
  • Frank J. Fabozzi
    • 5
  1. 1.Department of Applied Mathematics and Statistics College of BusinessStony Brook UniversityStony BrookUSA
  2. 2.FinAnalyticaNew YorkUSA
  3. 3.Department of Probability and StatisticsCharles UniversityPragueCzech Republic
  4. 4.EDHEC Business School EDHEC-Risk InstituteSingaporeSingapore
  5. 5.EDHEC Business School EDHEC-Risk InstituteNiceFrance

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