Probability Functions on Posets

Jae Hee Kim, Hee Sik Kim and Joseph Neggers
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Jae Hee Kim: Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul 04763, Korea
Hee Sik Kim: Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul 04763, Korea
Joseph Neggers: Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA

Mathematics, 2019, vol. 7, issue 9, 1-18

Abstract: In this paper, we define the notion of a probability function on a poset which is similar to the probability function discussed on d -algebras, and obtain three probability functions on posets. Moreover, we define a probability realizer of a poset, and we provide some examples to describe its role for the standard probability function. We apply the notion of a probability function to the ordered plane and obtain three probability functions on it.

Keywords: probability function; poset; d-algebra; probability realizer; ordered plane (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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