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Convergence rates in the law of large numbers for END linear processes with random coefficients

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Abstract In this paper, we consider convergence rates in the Marcinkiewicz–Zygmund law of the large numbers for the END linear processes with random coefficients. We extend some results of Baum… Click to show full abstract

Abstract In this paper, we consider convergence rates in the Marcinkiewicz–Zygmund law of the large numbers for the END linear processes with random coefficients. We extend some results of Baum and Katz (1965) to the case of dependent linear processes with the random coefficients.

Keywords: law large; large numbers; random coefficients; processes random; linear processes; convergence rates

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2018

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