On the Laws of Large Numbers in Possibility Theory

zbMATH Open1449.60049arXiv1704.04193MaRDI QIDQ5204060

Sorin G. Gal

Publication date: 9 December 2019

Abstract: In this paper we obtain some possibilistic variants of the probabilistic laws of large numbers, different from those obtained by other authors, but very natural extensions of the corresponding ones in probability theory. Our results are based on the possibility measure and on the "maxitive" definitions for possibility expectation and possibility variance. Also, we show that in this frame, the weak form of the law of large numbers, implies the strong law of large numbers.

Full work available at URL: https://arxiv.org/abs/1704.04193

zbMATH Keywords

laws of large numberspossibility measuretheory of possibilitypossibility variancepossibilistic Borel-Cantelli lemmapossibility expectation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Real- or complex-valued set functions (28A10) Strong limit theorems (60F15) Fuzzy measure theory (28E10)

Related Items (2)

Finite Frequentism in a Big World ⋮ The laws of non-bivalent probability

This page was built for publication: On the Laws of Large Numbers in Possibility Theory

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5204060)