Concentration inequality and the weak law of large numbers for the sum of partly negatively dependent 9-subgaussian random variables

We obtained the inequality of the 9-subgaussian standard, concentration inequality for the sum, and weak law of large numbers for partly negatively dependent 9-subgaussian random variables. Furthermore, results for m-acceptable 9-subgaussian random variables were obtained.

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In this study, we examine the properties of 9-subgaussian random variables, including inequalities, concentration inequalities, and the law of large numbers. We also discuss the characteristics of m-acceptable 9-subgaussian random variables.