OpenStax CNX

Sections
You are here: Home » Content » Appendix E to Applied Probability: Properties of mathematical expectation

About: Appendix E to Applied Probability: Properties of mathematical expectation

Module by: Paul E Pfeiffer. E-mail the author

View the content: Appendix E to Applied Probability: Properties of mathematical expectation

Metadata

Name: Appendix E to Applied Probability: Properties of mathematical expectation
ID: m23998
Language: English (en)
Summary: A compilation of properties of the fundamental concept of mathematical expectation. Not all of these properties are used explicitly in this treatment, but they are included for reference.
Subject: Mathematics and Statistics
Keywords: expectation, fatou, hölder, jensen, markov, minkowski, monotonicity, radon-nikodym, schwarz
License: Creative Commons Attribution License CC-BY 3.0

Authors: Paul E Pfeiffer (perhp@earthlink.net)
Copyright Holders: Paul E Pfeiffer (perhp@earthlink.net)
Maintainers: Paul E Pfeiffer (perhp@earthlink.net), Daniel Williamson (dcwill@cnx.org), C. Sidney Burrus (csb@rice.edu)

Latest version: 1.7 (history)
First publication date: Apr 20, 2009 1:24 pm -0500
Last revision to module: Sep 18, 2009 10:51 am -0500

Downloads

PDF: m23998_1.7.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m23998_1.7.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 1.7 Sep 18, 2009 10:51 am -0500 by Daniel Williamson
Changes:
added google analytics tracking code

Version: 1.6 Jul 29, 2009 11:42 am -0500 by Paul E Pfeiffer
Changes:
Summary

Version: 1.5 Jul 27, 2009 11:38 am -0500 by Daniel Williamson
Changes:
disjoint union fix

Version: 1.4 Jun 19, 2009 10:57 am -0500 by Daniel Williamson
Changes:
m-file fixes, supplemental links, metadata updated

Version: 1.3 Jun 9, 2009 4:57 pm -0500 by Daniel Williamson
Changes:
updated links, images, and accessibility

Version: 1.2 May 26, 2009 4:06 pm -0500 by Daniel Williamson
Changes:
fixed module names, and updated content structure

Version: 1.1 May 26, 2009 11:24 am -0500 by Paul E Pfeiffer
Changes:
Content

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax_CNX account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 3.0), you must include

  • the authors' names: Paul Pfeiffer
  • the title of the work: Appendix E to Applied Probability: Properties of mathematical expectation
  • the OpenStax_CNX URL where the work can be found: http://cnx.org/content/m23998/1.7/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Pfeiffer, P. Appendix E to Applied Probability: Properties of mathematical expectation, OpenStax_CNX Web site. http://cnx.org/content/m23998/1.7/, Sep 18, 2009.

American Medical Assocation (AMA) Manual of Style:

Pfeiffer P. Appendix E to Applied Probability: Properties of mathematical expectation [OpenStax_CNX Web site]. September 18, 2009. Available at: http://cnx.org/content/m23998/1.7/.

American Psychological Assocation (APA) Publication Manual:

Pfeiffer, P. (2009, September 18). Appendix E to Applied Probability: Properties of mathematical expectation. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m23998/1.7/

Chicago Manual of Style (Bibliography):

Pfeiffer, Paul. "Appendix E to Applied Probability: Properties of mathematical expectation." OpenStax_CNX. September 18, 2009. http://cnx.org/content/m23998/1.7/.

Chicago Manual of Style (Note):

Paul Pfeiffer, "Appendix E to Applied Probability: Properties of mathematical expectation," OpenStax_CNX, September 18, 2009, http://cnx.org/content/m23998/1.7/.

Chicago Manual of Style (Reference, in Author-Date style):

Pfeiffer, P. 2009. Appendix E to Applied Probability: Properties of mathematical expectation. OpenStax_CNX, September 18, 2009. http://cnx.org/content/m23998/1.7/.

Modern Languages Association (MLA) Style Manual:

Pfeiffer, Paul. Appendix E to Applied Probability: Properties of mathematical expectation. OpenStax_CNX. 18 Sep. 2009 <http://cnx.org/content/m23998/1.7/>.