Testing for monotone increasing hazard rate

DOI10.1214/009053605000000039zbMath1072.62098arXivmath/0507419OpenAlexW3104440650MaRDI QIDQ2569236

Hall, Peter, Ingrid Van Keilegom

Publication date: 18 October 2005

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

Full work available at URL: https://arxiv.org/abs/math/0507419

zbMATH Keywords

bootstrapbandwidthconvex functionsurvival analysispowerkernel methodsmonotone functionlocal alternativecumulative hazard rate

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Nonparametric statistical resampling methods (62G09) Testing in survival analysis and censored data (62N03)

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Generalized continuous isotonic regression ⋮ Distribution of ratio of extreme of isotonic estimators of chi-square variables with applications ⋮ Properties of increasing odds rate distributions with a statistical application ⋮ Testing convexity of the generalised hazard function ⋮ Nonparametric testing for a monotone hazard function via normalized spacings ⋮ Maximum likelihood estimation of a log-concave density and its distribution function: basic properties and uniform consistency ⋮ Assessing log-concavity of multivariate densities ⋮ Transform orders and stochastic monotonicity of statistical functionals ⋮ Isotonic \(L_{2}\)-projection test for local monotonicity of a hazard ⋮ Testing monotonicity of a hazard: asymptotic distribution theory ⋮ On Bayes inference for a bathtub failure rate via S-paths ⋮ Testing monotonicity via local least concave majorants ⋮ Multiscale inference about a density ⋮ Testing functional inequalities ⋮ Distribution-free tests of stochastic dominance for small samples ⋮ A refined Jensen's inequality in Hilbert spaces and empirical approximations ⋮ Testing departures from the increasing hazard rate property

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