Dudley, R. M. Metric entropy and the central limit theorem in C(S). (English) Zbl 0275.60033 Ann. Inst. Fourier 24, No. 2, 49-60 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 60F05 Central limit and other weak theorems 60B05 Probability measures on topological spaces PDF BibTeX XML Cite \textit{R. M. Dudley}, Ann. Inst. Fourier 24, No. 2, 49--60 (1974; Zbl 0275.60033) Full Text: DOI Numdam EuDML OpenURL 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.