Two-Sample Tests Based on the Integrated Empirical Process

DOI10.1081/STA-120022708zbMath1184.62068OpenAlexW2079296400MaRDI QIDQ4414361

Norbert Henze, Yakov Yu. Nikitin

Publication date: 24 July 2003

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

Full work available at URL: https://doi.org/10.1081/sta-120022708

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Characterization and structure theory of statistical distributions (62E10)

Related Items (12)

New two-sample tests based on the integrated empirical copula processes ⋮ Rank Test of Location Optimal for Hyperbolic Secant Distribution ⋮ Asymptotic behavior of weighted multivariate Cramér-von Mises-type statistics under contiguous alternatives ⋮ \(K\)-sample problem using strong approximations of empirical copula processes ⋮ Some applications of the strong approximation of the integrated empirical copula processes ⋮ Strong approximations for the \(p\)-fold integrated empirical process with applications to statistical tests ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics ⋮ Some asymptotic results for the integrated empirical process with applications to statistical tests ⋮ Empirical likelihood tests for two-sample problems via nonparametric density estimation ⋮ Testing the Equality of Multivariate Distributions Using the Bootstrap and Integrated Empirical Processes ⋮ Inferential procedures based on the integrated empirical characteristic function ⋮ Weighted bootstrapped kernel density estimators in two-sample problems

Cites Work

• Concerning a Certain Probability Problem
• A new approach to goodness-of-fit testing based on the integrated empirical process^*
• Goodness-of-fit tests for the exponential and the normal distribution based on the integrated distribution function
• Goodness-of-fit tests for discrete models based on the integrated distribution function.
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