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Details for article 20 of 21 found articles
| Title: |
Two- sided tolerance limits and confidence bounds for normal populations |
| Author: |
Papp, Zoltan |
| Appeared in: |
Communications in statistics |
| Paging: | Volume 21 (1992) nr. 5 pages 1309-1318 |
| Year: |
1992 |
| Contents: |
Let (X1,...,n.) be a random sample from a normal population N(μ, σ2), also let [image omitted] and [image omitted] . The random variable [image omitted] is the coverage of the tolerance interval [image omitted] . (Φ(x) is the CDF of the standard normal variable.) Let E(q) denote the event [image omitted] Using the results of D.B. Owen (1965) on bivariate non-central t - variables, we obtain the exact value of the probability Pr[E(q)] under conditions that are satisfied in practical applications. Numerical algorithm is also suggested to calculate Pr[E(q)]. Applications include finding two-sided tolerance intervals for normal populations and calculating lower confidence bounds for the fraction of products conforming to two-sided specifications. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 20 of 21 found articles
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