Testing uniformity versus a monotone density

DOI10.1214/aos/1018031114zbMath0978.62039OpenAlexW2016428707MaRDI QIDQ1807166

Jiayang Sun, Michael B. Woodroofe

Publication date: 9 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1018031114

zbMATH Keywords

nonhomogeneous Poisson processselection biaspenalized maximum likelihood estimatesair-conditioning equipments

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Testing in survival analysis and censored data (62N03)

Related Items

Characterization of the least concave majorant of Brownian motion, conditional on a vertex point, with application to construction, Combining p-values using order-based methods, \(M\)-estimators for isotonic regression, Selection models with monotone weight functions in meta analysis, Inferences from biased samples with a memory effect, Refinements of the Kiefer-Wolfowitz theorem and a test of concavity, Some Results on the Control of the False Discovery Rate under Dependence, More powerful control of the false discovery rate under dependence, Testing for monotonicity of a regression mean by calibrating for linear functions., Testing monotonicity of regression., Multiscale maximum likelihood analysis of a semiparametric model, with applications., On the isotonic change-point problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic normality of statistics based on the convex minorants of empirical distribution functions
• The concave majorant of Brownian motion
• The dip test of unimodality
• A Bartlett-type adjustment for the likelihood ratio statistic with an ordered alternative
• Sums and maxima of discrete stationary processes
• Evaluating Tests for Increasing Intensity of a Poisson Process
• Estimating and Testing Trend in a Stochastic Process of Poisson Type
• Likelihood Ratio Tests for Restricted Families of Probability Distributions