Abstract and Applied Analysis

Law of Large Numbers under Choquet Expectations

Jing Chen

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 179506, 7 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606758

Digital Object Identifier
doi:10.1155/2014/179506

Mathematical Reviews number (MathSciNet)
MR3178850

Citation

Chen, Jing. Law of Large Numbers under Choquet Expectations. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 179506, 7 pages. doi:10.1155/2014/179506. https://projecteuclid.org/euclid.aaa/1412606758


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