Central limit theorems for generalized set-valued random variables

DOI10.1016/S0022-247X(03)00397-4zbMath1029.60022MaRDI QIDQ1408792

Yukio Ogura, Madan Lal Puri, Shou-mei Li, Frank Norbert Proske

Publication date: 25 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

empirical processescentral limit theoremset-valued random variables

Mathematics Subject Classification ID

Set-valued functions (26E25) Limit theorems in probability theory (60F99)

Related Items (12)

Complete convergence for arrays of rowwise independent random variables and fuzzy random variables in convex combination spaces ⋮ Fuzzy set-valued Gaussian processes and Brownian motions ⋮ Large and Moderate Deviations of Random Upper Semicontinuous Functions ⋮ Overview on the development of fuzzy random variables ⋮ Strong laws of large numbers for independent fuzzy set-valued random variables ⋮ Probabilistic foundations for measurement modelling with fuzzy random variables ⋮ Strong solution of Itô type set-valued stochastic differential equation ⋮ Geometry of the expected value set and the set-valued sample mean process ⋮ A large deviation principle for random upper semicontinuous functions ⋮ A Banach lattice approach to convergent integrably bounded set-valued martingales and their positive parts ⋮ LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF FUZZY SET-VALUED RANDOM VARIABLES ⋮ A fuzzy representation of random variables: An operational tool in exploratory analysis and hypothesis testing

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