Mathematical Alternatives to Standard Probability and Their Motivation
Mon., Nov 5, 2012
4:00 -5:00 PM
400 Cory Hall (Hughes Room)
While standard probability has a very wide variety of applications, we argue that it is not applicable to all of the important random, chance, uncertain, or indeterminate phenomena that we confront. Our presentation is motivated by the need for a wide variety of levels of imprecision, indeterminacy, or vagueness in our specifications of probability. The exceedingly high precision of the real numbers and, hence, of real-valued probability is ill-suited to many applications of probabilistic reasoning. Therefore, we will introduce mathematical probability concepts ranging from the vaguest notion of common linguistic probability terms like possible, ``improbable'', probable, and ``at least as likely as'' to the highly structured notions of probability as either a pair of real numbers that form an interval or as a set of standard probability measures no one of which is correct by itself. These alternatives differ from standard probability by violating such standard probability axioms of probability as being real-valued and finitely additivity.

Prof. Fine requests that people browse through the related paper and ideally bring it with them to the seminar. The paper is available here.
UC Berkeley Networking
Ashwin Pananjady and Orhan Ocal
Last Modification Date: Wednesday, February 10, 2016