<p>The probability inequalities for sums of random variables are widely used as a tool for theoretical risk assessment, inequalities, and deriving asymptotic properties in the field of machine learning and statistics. Various types of inequalities for sums of random variables are derived depending on the conditions on random variables. In this study, we obtain probability inequalities for the sums of random variables that are nonidentically distributed and partly dependent with finite moments of some particular order.</p>

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Probability inequalities for sums of partly acceptable random variables with finite moments

  • Yuta Tanoue

摘要

The probability inequalities for sums of random variables are widely used as a tool for theoretical risk assessment, inequalities, and deriving asymptotic properties in the field of machine learning and statistics. Various types of inequalities for sums of random variables are derived depending on the conditions on random variables. In this study, we obtain probability inequalities for the sums of random variables that are nonidentically distributed and partly dependent with finite moments of some particular order.