Nonparametric tests for the mean of a non-negative population

DOI10.1016/S0378-3758(01)00294-4zbMath1030.62038MaRDI QIDQ1869070

Weizhen Wang, Linda H. Zhao

Publication date: 9 April 2003

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

zbMATH Keywords

Markov's inequalityUMP testLevel-\(\alpha\) testNon-negative random variableNonparametric likelihood ratio test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Cites Work

• Unnamed Item
• Empirical likelihood ratio confidence regions
• Finite sample nonparametric inference and large sample efficiency.
• Bounds for the Distribution Function of a Sum of Independent, Identically Distributed Random Variables
• The Nonexistence of Certain Statistical Procedures in Nonparametric Problems
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Consistency of the Maximum Likelihood Estimator in the Presence of Infinitely Many Incidental Parameters
• On distribution-free lower confidence limits for the mean of a nonnegative random variable
• The Markov Inequality for Sums of Independent Random Variables
• A Generalization of Tshebyshev's Inequality to Two Dimensions

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