Title: The complete convergence of linear process generated by ρ<sup>−</sup>-mixing sequence
Abstract: Let {Y <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i</sub> ;-∞ <; i <; ∞} be indentically distributed random variables sequence, {α <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i;</sub> -∞ <; i <; ∞} be an absolutely summable sequence of real numbers. Since the concept of complete convergence was proposed, many people have been paying attention to it's limit properties. Because ρ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-</sup> -mixing sequence is a class of mixing sequence with wide applications, such as in finance, electron, hydrology, the corresponding limit properties are worth studying. In this paper, we discuss the complete convergence of linear process generated by ρ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-</sup> -mixing sequence with slowly varying function by moment inequality.
Publication Year: 2011
Publication Date: 2011-08-01
Language: en
Type: article
Indexed In: ['crossref']
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