Law of Large Numbers under Choquet Expectations

Jing Chen

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

With a new notion of independence of random variables, we establish the nonadditive version of weak law of large numbers (LLN) for the independent and identically distributed (IID) random variables under Choquet expectations induced by 2-alternating capacities. Moreover, we weaken the moment assumptions to the first absolute moment and characterize the approximate distributions of random variables as well. Naturally, our theorem can be viewed as an extension of the classical LLN to the case where the probability is no longer additive.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:179506

DOI: 10.1155/2014/179506

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