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

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.

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Year of publication:	1993
Authors:	Bloznelis, M. ; Paulauskas, V.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 17.1993, 2, p. 105-111
Publisher:	Elsevier
Subject:	Central limit theorems Cadlag processes

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005223205