Extension of Results Concerning Parameter Estimators, Tolerance Bounds and Warranty Periods for Weibull Models
Abstract
The report consists of three papers, all of which apply to the two-parameter Weibull distribution. The first paper gives tables for obtaining estimates of the shape parameter and of distribution percentage points. The paper provides a more extensive range of values than are available in the published article to which the tables apply. The second and third papers extend previous results. The second applies to the calculation of warranty periods from sample data for a lot to be manufactured in the future. Warranty periods to be calculated from three ordered observations are derived for orderings of the three observations not considered earlier. Investigation is made of the expected squared deviations of the calculated log warranty periods from the first failure in the lot to be manufactured in the future. On the basis of this investigation, a tabulation is given for lots of size n, n = 10, 11, ..., 25 and samples of size m, m = 2, 3, ..., n-3. The third paper considers Taylor series approximations to the distribution of three-order-statistic estimators of reliable life. By use of this approach, published tables of values for obtaining three-order-statistic confidence bounds on reliable life are extended.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0708159
Entities
People
- Nancy R. Mann