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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 18, Fasc. 2,
pages 359 - 368
 

A CENTRAL LIMIT THEOREM FOR STRICTLY STATIONARY SEQUENCES IN TERMS OF SLOW VARIATION IN THE LIMIT

Zbigniew S. Szewczak

Abstract: For strictly stationary random sequences satisfying the “minimal” dependence condition, necessary and sufficient conditions for the weak convergence to the normal law in terms of slow variation in the limit are found.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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