Skip to main content

Elementary Inequalities of Probabilities of Events

  • Chapter
  • 3268 Accesses

Abstract

In this Chapter, we shall introduce some basic inequalities which can be found in many basic textbooks on probability theory, such as (1968), (1977), etc.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   119.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Chow Y S, Teicher H. 1997. Probability Theory: Independence, Interchange-ability, Martingales. 2nd ed.. New York: Springer-Verlag.

    Google Scholar 

  • Chung K L. 1974. A Course in Probability Theory. 2nd ed.. New York: Academic Press.

    MATH  Google Scholar 

  • Feller W. 1968. An Introduction to Probability Theory and Its Applications. 3rd ed.. New York: Wiley.

    MATH  Google Scholar 

  • Hardy G H, Littlewood J E, Polya G. 1952. Inequalities. Cambridge: Cambridge University Press.

    MATH  Google Scholar 

  • Loéve M. 1977. Probability Theory. 4th ed.. New York: Springer-Verlag.

    MATH  Google Scholar 

  • Petrov V V. 1995. Limit Theorems of Probability Theory: Sequences of Independent Random Variables. Oxford & New York: Clarendon Press & Oxford University Press.

    MATH  Google Scholar 

  • Shorack G R, Wellner J A. 1986. Empirical Processes with Applications to Statistics. New York: Wiley.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Science Press Beijing and Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Lin, Z., Bai, Z. (2010). Elementary Inequalities of Probabilities of Events. In: Probability Inequalities. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05261-3_1

Download citation

Publish with us

Policies and ethics