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Simultaneous Tolerance Limits and a Unified Approach to some Nonparametric Theory
Author(s) -
Breth M.
Publication year - 1981
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1981.tb00794.x
Subject(s) - nonparametric statistics , quantile , confidence interval , parametric statistics , statistics , tolerance interval , mathematics , cdf based nonparametric confidence interval , bayesian probability , econometrics , order statistic , confidence and prediction bands , computer science
Summary In this paper nonparametric simultaneous tolerance limits are developed using rectangle probabilities for uniform order statistics. Consideration is given to the handling of censored data, and some comparisons are made with the parametric normal theory. The nonparametric regional estimation techniques of (i) confidence bands for a distribution function, (ii) simultaneous confidence intervals for quantiles and (iii) simultaneous tolerance limits are unified. A Bayesian approach is also discussed.