A note on the central limit theorem for stochastically continuous processes

M. Bloznelis and V. Paulauskas

Stochastic Processes and their Applications, 1994, vol. 53, issue 2, 351-361

Abstract: The desymmetrization technique which was successfully used in C(S) spaces is carried over to limit theorems for stochastically continuously random processes with sample paths in Skorohod space D[0, 1] and is applied to obtain the central limit theorem (CLT) in D[0, 1]. Let {X(t), t [set membership, variant] [0, 1]} be a stochastically continuous random process. For functions [latin small letter f with hook], g such that E(X(s) - X(t) [logical and] X(t) - X(u))p = 2, s

Keywords: Central; limit; theorem; Cadlag; processes (search for similar items in EconPapers)
Date: 1994
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