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A central limit theorem with random indices for stationary linear processes

✍ Scribed by Issa Fakhre-Zakeri; Jamshid Farshidi

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 262 KB
Volume: 17
Category: Article
ISSN: 0167-7152
DOI: 10.1016/0167-7152(93)90002-z

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Define for each subset I C (1,. . . , n} the c+-algebra 9, = m{X, : i E I} with X , , . . . , X , independent random variables. In this paper we consider 9,measurable random variables W, subject to the centering condition E(W, I 9,) = 0 a s .