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On the empirical process of tempered moving averages

Jan Beran, Farzad Sabzikar, Donatas Surgailis and Klaus Telkmann

Statistics & Probability Letters, 2020, vol. 167, issue C

Abstract: We consider asymptotic properties of the empirical process of tempered moving average with memory parameter d∈[0,1∕2) and tempering parameter λN→0, centered by the marginal distribution function of the corresponding untempered stationary process. We prove that under long memory (0Keywords: Tempered linear process; Long memory; Empirical process; Uniform reduction principle (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spl.2020.108902

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