Skip to main content

Increasing Events

  • Chapter
  • 1080 Accesses

Part of the book series: Progress in Probability and Statistics ((PRPR,volume 2))

Abstract

This chapter contains the well known FKG inequality and a formula of Russo’s for the derivative of Pp{E} with respect to p for an increasing event E. No periodicity assumptions are necessary in this chapter, so that we shall take as our probability space the triple (Ωl, Bl, Pl) as defined in Sect. 3.1. E1 will denote expectation with respect to Pl.

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   79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   99.99
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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kesten, H. (1982). Increasing Events. In: Percolation Theory for Mathematicians. Progress in Probability and Statistics, vol 2. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-2730-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-2730-9_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3107-9

  • Online ISBN: 978-1-4899-2730-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics