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- W2020092340 abstract "Abstract Let {X n , n⩾1} be an arbitrary sequence of random elements defined on a probability space (Ω, A ,P) with a nonatomic measure P and taking values in a separable complete metric space ( S , ρ ). In this paper we characterize the set of all possible weak limits of the sequences {X N n , n⩾1} , where {N n , n⩾1} is a sequence of positive integer-valued random variables. The proof shows how, for a given probability law F( ) , we can define a random sequence {N n , n⩾1} satisfying X N n → D F( ) ." @default.
- W2020092340 created "2016-06-24" @default.
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- W2020092340 date "2000-11-01" @default.
- W2020092340 modified "2023-09-27" @default.
- W2020092340 title "Characterization of weak limits of randomly indexed sequences" @default.
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- W2020092340 doi "https://doi.org/10.1016/s0167-7152(00)00094-8" @default.
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