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Nonparametric tolerance intervals controlling percentages in both tails and simultaneous testing of quantiles
Gboyega Adepoju1, K Krishnamoorthy1
1Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA.
None:
The problem of constructing nonparametric equal-tailed tolerance intervals is considered. A method for finding minimum sample size required so that the rth order statistic and the largest rth order statistic form a p content- coverage equal-tailed tolerance interval is proposed. A simultaneous test for quantiles is also provided. Minimum sample sizes that are required to construct equal-tailed TIs and those to carry out hypothesis tests at a given nominal level are presented. The methods are illustrated using data collected from a new secure messaging system.
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