Asymptotic normality of U-statistics based on i.i.d. or negatively associated observations by utilizing Zolotarev’s ideal metric

Tasos C. Christofides and Charalambos Charalambous

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 12, 4083-4102

Abstract: In this paper we obtain the distance between U-statistics and a normal random variable by utilizing Zolotarev’s ideal metric. The results are for U-statistics based on i.i.d random variables as well as for U-statistics based on negatively associated random variables. Corresponding results are also investigated for the related class of von Mises statistics.

Date: 2023
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DOI: 10.1080/03610926.2021.1986533

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