On the central limit theorem in D[0, 1]

M. Bloznelis and V. Paulauskas

Statistics & Probability Letters, 1993, vol. 17, issue 2, 105-111

Abstract: Let X be a stochastically continuous random process with sample paths in D[0, 1]. We improve Billingsley's theorem and this improvement yields new sufficient conditions for X to satisfy the CLT. An example shows that our sufficient conditions are close to the optimal conditions of the form provided.

Keywords: Central; limit; theorems; Cadlag; processes (search for similar items in EconPapers)
Date: 1993
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