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

Autor:	Tasos C. Christofides, Charalambos D. Charalambous
Rok vydání:	2021
Předmět:	Statistics and Probability Normal distribution Independent and identically distributed random variables Pure mathematics Ideal (set theory) Negatively associated High Energy Physics::Lattice Metric (mathematics) Asymptotic distribution Random variable Central limit theorem Mathematics
Zdroj:	Communications in Statistics - Theory and Methods. 52:4083-4102
ISSN:	1532-415X 0361-0926
DOI:	10.1080/03610926.2021.1986533
Popis:	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 wel...
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d0ce45bde44a28caea312a2f2c6ebbd0 https://doi.org/10.1080/03610926.2021.1986533 Zobrazit plný text záznamu