Asymptotic normality for \(U\)-statistics of associated random variables

DOI10.1016/S0378-3758(00)00226-3zbMath1026.60502OpenAlexW2040319131MaRDI QIDQ5945255

B. L. S. Prakasa Rao, Isha Dewan

Publication date: 10 March 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00226-3

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Related Items

Central limit theorem for U-statistics of associated random variables ⋮ Computing the asymptotic distribution of second-order \(U\)- and \(V\)-statistics ⋮ On estimation of limiting variance of partial sums of functions of associated random variables ⋮ Dependent wild bootstrap for degenerate \(U\)- and \(V\)-statistics ⋮ Exponential inequalities for dependent V-statistics via random Fourier features ⋮ On limiting distribution of U-statistics based on associated random variables ⋮ Degenerate \(U\)- and \(V\)-statistics under ergodicity: asymptotics, bootstrap and applications in statistics ⋮ Asymptotic normality of U-statistics based on i.i.d. or negatively associated observations by utilizing Zolotarev’s ideal metric ⋮ Degenerate \(U\)- and \(V\)-statistics under weak dependence: asymptotic theory and bootstrap consistency ⋮ Deriving the asymptotic distribution of \(U\)- and \(V\)-statistics of dependent data using weighted empirical processes ⋮ U-statistics on associated random variables ⋮ Hajek-Renyi-type inequality for some nonmonotonic functions of associated random variables ⋮ Asymptotic normality for \(U\)-statistics of negatively associated random variables ⋮ Central Limit Theorems for ReducedU-Statistics Under Dependence and Their Usefulness

Cites Work

• Weak convergence for weighted empirical processes of dependent sequences
• Moment bounds for associated sequences
• On the invariance principle for U-statistics
• Normal fluctuations and the FKG inequalities
• Large sample theory for U-statistics and tests of fit
• Kernel-type density and failure rate estimation for associated sequences
• ORTHOGONAL EXPANSIONS AND U-STATISTICS
• Association of Random Variables, with Applications
• On the Asymptotic Distribution of Differentiable Statistical Functions
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