行ALNQD阵列加权和最大值的完全收敛性

Journal of Jilin University Science Edition

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Complete Convergence for Maximum ofWeighted Sums of Arrays of Rowwise ALNQD

LU Dongmei¹, GAO Ruimei²

1. College of Optical and Electronical Information, Changchun University of Science and Technology, Changchun130022, China; 2. College of Science, Changchun University of Science and Technology, Changchun 130022, China

Received:2016-03-31 Online:2016-11-26 Published:2016-11-29
Contact: LU Dongmei E-mail:loverpotato@163.com

Abstract

Abstract: We obtained a complete convergence theorem for maximum of weighted sums of arrays of rowwise asymptotically linear negative quadrant dependent (ALNQD) by using the moment inequalities for maximum of ALNQD sequences, and proved a MarcinkiewiczZygmund type strong law of large numbers for maximum of weighted sums of ALNQD sequences by using the proposed theorem.

Key words: weighted sum, complete convergence, arrays of rowwise ALNQD, MarcinkiewiczZygmund type strong law of large number

CLC Number:

O211.4

LU Dongmei, GAO Ruimei. Complete Convergence for Maximum ofWeighted Sums of Arrays of Rowwise ALNQD[J].Journal of Jilin University Science Edition, 2016, 54(06): 1323-1327.

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Complete Convergence for Maximum ofWeighted Sums of Arrays of Rowwise ALNQD

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