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• W4210588177 abstract "We prove concentration inequalities of the form P(Y≥t)≤ exp (−B(t)) for a random variable Y with mean zero and variance σ2 using a coupling technique from Stein’s method that is so-called approximate zero bias couplings. Applications to the Hoeffding’s statistic where the random permutation has the Ewens distribution with parameter θ>0 are also presented. A few simulation experiments are then provided to visualize the tail probability of the Hoeffding’s statistic and our bounds. Based on the simulation results, our bounds work well especially when θ≤1." @default.
• W4210588177 created "2022-02-08" @default.
• W4210588177 creator A5055432096 @default.
• W4210588177 date "2022-02-02" @default.
• W4210588177 modified "2023-09-24" @default.
• W4210588177 title "Concentration inequalities using approximate zero bias couplings with applications to Hoeffding’s statistic under the Ewens distribution" @default.
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• W4210588177 doi "https://doi.org/10.1080/03610926.2022.2032753" @default.
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