This article deals with constructing confidence intervals/bands for a distribution function based on censored ranked set samples. Toward this end, a resampling plan is suggested and its validity is investigated. Monte Carlo simulations are used to compare performances of the bootstrap confidence intervals with their asymptotic analogs, and their modifications by jackknife. An environmental data set is finally analyzed.
Asymptotic inference Confidence interval Nonparametric bootstrap Ranked set sampling
This is a preview of subscription content, log in to check access.
We sincerely thank the reviewers for constructive criticisms and valuable comments, which were of great help in revising the manuscript.
Amiri S, Jafari Jozani M, Modarres R (2014) Resampling unbalanced ranked set samples with applications in testing hypothesis about the population mean. J Agric Biol Environ Stat 19:1–17CrossRefMATHMathSciNetGoogle Scholar
Azarang L, de Uña-Álvarez J, Stute W (2015) The jackknife estimate of covariance of two Kaplan–Meier integrals with covariables. Statistics 49:1005–1025CrossRefMATHMathSciNetGoogle Scholar
Borgan Ø, Liestøl K (1990) A note on confidence intervals and bands for the survival curve based on transformations. Scand J Stat 17:35–41Google Scholar