Application of Life Testing Techniques to Detection Data.
Abstract
Life testing techniques for censored sample data are discussed. Singly and progressive censoring of type I and type II are defined. The detection phenomenon involving observers not always detecting targets is placed in the framework of progressively censored sampling. Maximum likelihood estimates for the parameters of the two-parameter Weibull distribution are given, and a test statistic is presented for comparing two Weibull distribution fitted to censored sample data. Weibull distributions of sample sizes 500, 250, and 100 with 0, 10, and 20 percent censored are simulated. The shape parameter is varied over the range 1.0 to 3.5, and equality of pairs of the distributions is tested. The relationships between Beta and the Beta difference that is distinguishable are given for each of the three sample sizes. For the largest sample size, at the 0.05-level of significance, the Beta difference that is distinguishable varied from 0.15 for small shape parameter values to 0.38 for large shape parameter values. For the 100 sample size distributions, the Beta difference distinguishable varied from 0.30 to 0.73. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1976
- Accession Number
- ADA022464
Entities
People
- Carl B. Bates
- Jerry Thomas
Organizations
- Center for Army Analysis