Article ID Journal Published Year Pages File Type
1144910 Journal of the Korean Statistical Society 2011 9 Pages PDF
Abstract

In this paper, we obtain the maximal inequalities for linear process, φφ-mixing sequence and linearly negative quadrant dependent (LNQD) sequence when the rrth moments of random variables are finite for r>2r>2. Applying these maximal inequalities above, we get the Hájek–Rényi-type inequality, strong law of large numbers, strong growth rate and integrability of supremum for these three sequences.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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