Nonparametric methods for imperfect repair models
type: Item
instance of: scholarly article
title: Nonparametric methods for imperfect repair models
zbMATH Open document ID: 0756.62035
author: Myles Hollander
author: Presnell, Brett
author: Jayaram Sethuraman
published in: The Annals of Statistics
publication date: 1992-09-27T00:00:00Z
review text: An appropriate probability model for the age-dependent minimal repair model of \textit{H. W. Block}, \textit{W. S. Borges} and \textit{T. H. Savits} [J. Appl. Probab. 22, 370-385 (1985; Zbl 0564.60084)] is developed and a counting process approach is used to extend the large sample theorems of \textit{L. R. Whitaker} and \textit{F. J. Samaniego} [J. Am. Stat. Assoc. 84, No. 405, 301-309 (1989; Zbl 0698.62099)] to the whole line. Applications of these results to confidence bands and an extension of the Wilcoxon two-sample test are examined.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62G10
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 64509
zbMATH Keywords: imperfect repair
zbMATH Keywords: life distribution
zbMATH Keywords: product integral
zbMATH Keywords: age-dependent minimal repair model
zbMATH Keywords: counting process approach
zbMATH Keywords: large sample theorems
zbMATH Keywords: confidence bands
zbMATH Keywords: extension of the Wilcoxon two-sample test
reviewed by: János Sztrik
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176348661
OpenAlex ID: W1985881056
DOI: 10.1214/AOS/1176348661
description: scientific article; zbMATH DE number 64509