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Central limit theorems for C(S)-valued random variables. (English) Zbl 0305.60004


MSC:

60B10 Convergence of probability measures
60B05 Probability measures on topological spaces
60F05 Central limit and other weak theorems
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[1] Billingsley, P, Convergence of probability measures, (1968), John Wiley & Sons New York · Zbl 0172.21201
[2] Dudley, R.M, Metric entropy and the central limit theorem in C(S), Ann. inst. Fourier (Grenoble), 24, 49-60, (1974) · Zbl 0275.60033
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[11] Parthasarathy, K.R, Probability measures on metric spaces, (1967), Academic Press New York · Zbl 0153.19101
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