Skip to main content
SpringerLink
Log in

Laws of Large Numbers

  • Reference work entry
  • First Online:
International Encyclopedia of Statistical Science

  • 169 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 1,100.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 549.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References and Further Reading

  • Adler A, Rosalsky A, Taylor RL (1991) A weak law for normed weighted sums of random elements in Rademacher type p Banach spaces. J Multivariate Anal 37:259–268

    MATH  MathSciNet  Google Scholar 

  • Cantrell A, Rosalsky A (2004) A strong law for compactly uniformly integrable sequences of independent random elements in Banach spaces. Bull Inst Math Acad Sinica 32:15–33

    MATH  MathSciNet  Google Scholar 

  • Chow YS, Teicher H (1997) Probability theory: independence, interchangeability, martingales, 3rd edn. Springer, New York

    MATH  Google Scholar 

  • Feller W (1946) A limit theorem for random variables with infinite moments. Am J Math 68:257–262

    MATH  MathSciNet  Google Scholar 

  • Klass M, Teicher H (1977) Iterated logarithm laws for asymmetric random variables barely with or without finite mean. Ann Probab 5:861–874

    MATH  MathSciNet  Google Scholar 

  • Ledoux M, Talagrand M (1991) Probability in Banach spaces: isoperimetry and processes. Springer, Berlin

    MATH  Google Scholar 

  • Loève M (1977) Probability theory, vol I, 4th edn. Springer, New York

    MATH  Google Scholar 

  • Mourier E (1953) Eléments aléatoires dans un espace de Banach. Annales de l’ Institut Henri Poincaré 13:161–244

    MATH  MathSciNet  Google Scholar 

  • Petrov VV (1995) Limit theorems of probability theory: sequences of independent random variables. Clarendon, Oxford

    MATH  Google Scholar 

  • Rényi A (1970) Probability theory. North-Holland, Amsterdam

    Google Scholar 

  • Révész P (1968) The laws of large numbers. Academic, New York

    MATH  Google Scholar 

  • Stout WF (1974) Almost sure convergence. Academic, New York

    MATH  Google Scholar 

  • Taylor RL (1978) Stochastic convergence of weighted sums of random elements in linear spaces. Lecture notes in mathematics, vol 672. Springer, Berlin

    MATH  Google Scholar 

  • Vakhania NN, Tarieladze VI, Chobanyan SA (1987) Probability distributions on Banach spaces. D. Reidel, Dordrecht, Holland

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, University of Florida, Gainesville, FL, USA

    Andrew Rosalsky (Professor)

Authors
  1. Andrew Rosalsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Statistics and Informatics, Faculty of Economics, University of Kragujevac, City of Kragujevac, Serbia

    Miodrag Lovric

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this entry

Cite this entry

Rosalsky, A. (2011). Laws of Large Numbers. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_331

Download citation

Publish with us

Policies and ethics

Search

Navigation