Abstract
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 (1 − α) 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.
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 (1 − α) 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.
| Original language | American English |
|---|---|
| Number of pages | 10 |
| Journal | Nonparametric tolerance intervals controlling percentages in both tails and simultaneous testing of quantiles |
| DOIs | |
| State | Published - Jun 2025 |
| Externally published | Yes |
Keywords
- content level
- coverage probability
- equivalency of devices
- order statistics
- sampling inspection
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