Central limit theorems for stochastic processes under random entropy conditions

Author:

Alexander Kenneth S.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference36 articles.

1. Acosta, A. de, Araujo A., Giné, E.: On Poisson measures, Gaussian measures, and the central limit theorem in Banach space. In: Kuelbs, J. (ed.) Advances in probability, vol. IV, pp. 1–68. New York: Dekker 1978

2. Alexander, K.S.: Probability inequalities for empirical processes and a law of the iterated logarithm. Ann. Probab. 12, 1041–1067 (1984a)

3. Alexander, K.S.: Rates of growth and sample moduli for weighted empirical processes indexed by sets: Probab. Th. Rel. Fields 75, (1986)

4. Alexander, K.S., Pyke, R.: A uniform central limit theorem for set-indexed partial-sum processes with finite variance. Ann. Probab. 14, 582–597 (1986)

5. Araujo, A., Giné, E.: The central limit theorem for real and Banach valued random variables. New York: Wiley 1980

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