IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Laws of large numbers for non-additive probabilities

Listed author(s):
  • Dow, James
  • Werlang, Sérgio Ribeiro da Costa

We apply the concept of exchangeable random variables to the case of non-additive robability distributions exhibiting ncertainty aversion, and in the lass generated bya convex core convex non-additive probabilities, ith a convex core). We are able to rove two versions of the law of arge numbers (de Finetti's heorems). By making use of two efinitions. of independence we rove two versions of the strong law f large numbers. It turns out that e cannot assure the convergence of he sample averages to a constant. e then modal the case there is a true' probability distribution ehind the successive realizations of the uncertain random variable. In this case convergence occurs. This result is important because it renders true the intuition that it is possible 'to learn' the 'true' additive distribution behind an uncertain event if one repeatedly observes it (a sufficiently large number of times). We also provide a conjecture regarding the 'Iearning' (or updating) process above, and prove a partia I result for the case of Dempster-Shafer updating rule and binomial trials.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: no

Paper provided by FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) with number 226.

in new window

Date of creation: Dec 1993
Handle: RePEc:fgv:epgewp:226
Contact details of provider: Postal:
Praia de Botafogo 190, sala 1100, Rio de Janeiro/RJ - CEP: 22253-900

Phone: 55-21-2559-5871
Fax: 55-21-2553-8821
Web page:

More information through EDIRC

No references listed on IDEAS
You can help add them by filling out this form.

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:fgv:epgewp:226. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Núcleo de Computação da FGV/EPGE)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.