Rates of weak convergence and large deviation probabilities for linear rank tests with type I censored data

DOI10.1016/0378-3758(87)90101-7zbMath0634.62012OpenAlexW2083875694MaRDI QIDQ1096988

Tiee-Jian Wu

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90101-7

zbMATH Keywords

rate of convergenceProkhorov metricLévy metriclinear rank testbounded Lipschitz metricsCramér type large deviation theoremnon-uniform error boundtype I censored datauncensored data

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Large deviations (60F10)

Cites Work

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• Asymptotic behavior of two-sample rank tests in the presence of random censoring
• Asymptotic properties of censored linear rank tests
• Asymptotic expansions for the power of distribution free tests in the one-sample problem
• The rate of convergence of simple linear rank statistics under hypothesis and alternatives
• A class of rank test procedures for censored survival data
• [https://portal.mardi4nfdi.de/wiki/Publication:3956160 Cram�r type large deviations for simple linear rank statistics]
• Linear rank tests with right censored data
• Generalization of a Probability Limit Theorem of Cramer

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