AI Article Synopsis
- The paper discusses the Hájek-Rényi inequality, which is a statistical property related to sums of random variables.
- It explores how this inequality applies to the strong law of large numbers, specifically for a certain type of random vectors that exhibit negative association and specific mixing characteristics.
- The authors focus on random variables that are valued in a particular way and show how these concepts coexist and influence each other in the context of probability theory.
Article Abstract
In this paper, we obtain the Hájek-Rényi inequality and, as an application, we study the strong law of large numbers for -valued -asymptotically almost negatively associated random vectors with mixing coefficients [Formula: see text] such that [Formula: see text].
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5893727 | PMC |
| http://dx.doi.org/10.1186/s13660-018-1671-5 | DOI Listing |
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