Weak convergence of some quantile processes arising in progressively censored tests

DOI10.1214/aos/1176344624zbMath0405.62069OpenAlexW2061097897MaRDI QIDQ1257320

Pranab Kumar Sen

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1214/aos/1176344624

zbMATH Keywords

MartingalesWeak ConvergenceOrder StatisticsSequential TestsLife TestingBrownian MotionsProgressive CensoringQuantile ProcessesStochastic CoefficientsSurvival Times

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Parametric hypothesis testing (62F03) Order statistics; empirical distribution functions (62G30) Sequential statistical methods (62L99) Brownian motion (60J65) Convergence of probability measures (60B10) Reliability and life testing (62N05)

Related Items (5)

Cumulative processes: Linear combinations of order statistics and percentiles ⋮ REPEATED SIGNIFICANCE TESTS IN FREQUENCY AND TIME DOMAINS* ⋮ Rank Tests Based on Censored Data and Their Sequential Analogues ⋮ On estimating exponential parameters with general type II progressive censoring. ⋮ Unnamed Item

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