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- W2091670262 abstract "Pointwise Weak Law of Large Numbers and Weak Law of Large Numbers in the norm topology of D[0,l] are shown to be equivalent under uniform convex tightness and uniform integrability conditions for weighted sums of a sequence of random elements in D[0,1]. Uniform convex tightness and uniform integrability conditions are jointly characterized. Marcinkiewicz–Zygmund–Kolmogorov's and Brunk– Chung's Strong Laws of Large Numbers are derived in the setting of D[0,l]-space under uniform convex tightness and uniform integrability conditions. Equivalence of pointwise convergence, convergence in the Skorokhod topology and convergence in the norm topology f o r sequences in D[0,l] is studied" @default.
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- W2091670262 date "1987-01-01" @default.
- W2091670262 modified "2023-09-26" @default.
- W2091670262 title "Some weak and strong laws of large numbers for D[0,1]-valued random variables" @default.
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- W2091670262 doi "https://doi.org/10.1080/07362998708809130" @default.
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