The Functional Law of the Iterated Logarithm for the Empirical Process Based on Sample Means

John H. J. Einmahl () and Andrew Rosalsky ()
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John H. J. Einmahl: Eindhoven University of Technology
Andrew Rosalsky: University of Florida

Journal of Theoretical Probability, 2001, vol. 14, issue 2, 577-597

Abstract: Abstract Consider a double array $$\left\{ {X_{i,j} ;i \geqslant 1,j \geqslant } \right\}$$ of i.i.d. random variables with mean μ and variance $$\sigma ^2 (0

Keywords: empirical process based on sample means; functional law of the iterated logarithm; double array; relative compactness; central limit theorem; Berry–Esseen inequality (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1011128101094

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