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Metric entropy and the central limit theorem in C(S). (English) Zbl 0275.60033


MSC:

60F05 Central limit and other weak theorems
60B05 Probability measures on topological spaces
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References:

[1] Aloisio de ARAUJO, On the central limit theorem for C(ik) valued random variables (preprint, Statistics Dept., Univ. of Calif., Berkeley), 1973.
[2] G. BENNETT, Probability inequalities for the sum of independent random variables, Jour. Amer. Statist. Assoc., 57 (1962), 33-45. · Zbl 0104.11905
[3] R. M. DUDLEY, Sample functions of the Gaussian process, Ann. Probability, 1 (1973), 66-103. · Zbl 0261.60033
[4] R. FORTET and E. MOURIER, LES fonctions aléatoires comme éléments aléatoires dans LES espaces de Banach, Studia Math., 15 (1955), 62-79. · Zbl 0068.11104
[5] Evarist GINÉ, On the central limit theorem for sample continuous processes, to appear in Annals of Probability, 1974. · Zbl 0288.60017
[6] Evarist GINÉ, A note on the central limit theorem in C(S), (preprint), 1973.
[7] M. LOÈVE, (1963), Probability theory (Princeton, Van Nostrand). · Zbl 0108.14202
[8] V. STRASSEN and R. DUDLEY, (1969), The central limit theorem and ε-en-tropy, Lecture Notes in Math., 89, 224-231. · Zbl 0196.21101
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