3 citations · 5 across the 4 of their papers we have counts for
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A weak law of large numbers for the sequence of uncorrelated fuzzy random variables
Li Guan, Jinping Zhang, Jieming Zhou
We shall prove a weak law of large numbers for the uncorrelated (see Definition 3.1) fuzzy random variable sequence with respect to the uniform Hausdorff metric , whi…
Remarks on martingale representation theorem for set-valued martingales
Jinping Zhang, Kouji Yano
Martingale representation theorem for set-valued martingales was proposed by M. Kisielewicz [J. Math. Anal. Appl. 2014]. We shall prove that the result holds only for very special…
Laws of Large Numbers for Non-Independent Random Variables on Hyperspaces with respect to the Hausdorff Metric
Jinping Zhang, Li Guan
This paper investigates the limit behavior of the Minkowski sums for sequences of set-valued random variables. When the underlying space is finite dimensional, by using the support…
Submartingale property of set-valued stochastic integration associated with Poisson process and related integral equations on Banach spaces
Jinping Zhang, Itaru Mitoma, Yoshiaki Okazaki
In an M-type 2 Banach space, firstly we explore some properties of the set-valued stochastic integral associated with the stationary Poisson point process. By using the Hahn decomp…