Convergence rates of sequential confidence intervals and tests for the mean of a u-statistic

DOI10.1080/03610928108828184zbMath0468.62077OpenAlexW2044780607MaRDI QIDQ3922033

Nitis Mukhopadhyay

Publication date: 1981

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928108828184

zbMATH Keywords

rate of convergenceBerry-Esseen boundtwo-stage procedurefixed-width intervalsequential confidence intervalsrandom U-statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Central limit and other weak theorems (60F05) Sequential statistical analysis (62L10)

Related Items (10)

U-Statistics in Sequential Tests and Change Detection ⋮ On the corporate of the coverage probability of a sequential confidence interval based on the sign test ⋮ Asymptotic results for stopping times based on u-statistics ⋮ Asymptotic considerations for selecting the best component of a multivariate normal population ⋮ On sequential fixed-width confidence intervals for the mean and second-order expansions of the associated coverage probabilities ⋮ Sequential estimation problems for negative exponential populations ⋮ Convergence rates for two-stage confidence intervals based on U- statistics ⋮ EDA on the asymptotic normality of the standardized sequential stopping times, Part-I: Parametric models ⋮ An overview of sequential nonparametric density estimation ⋮ EDA on the asymptotic normality of the standardized sequential stopping times, Part-II: Distribution-free models

Cites Work

• A consistent and asymptotically efficient two-stage procedure to construct fixed width confidence intervals for the mean
• Convergence rates for U-statistics and related statistics
• A sequential approach to classification: Cost of not knowing the covariance matrix
• On Some Convergence Properties of UStatistics
• On the convergence rate of fixed-width sequential confidence intervals
• Sequential procedures in identification
• On the rate of convergence in the central limit theorem for Markov-chains
• The exact approximation order in the central-limit-theorem for random summation
• On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean
• A Class of Statistics with Asymptotically Normal Distribution
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