Title :
Fitting and Optimal Grouping on Gamma Reliability Data
Author :
Wei, Duan ; Shau, C.K.
Author_Institution :
Bureau of Statistics; Directorate-General of Budget, Accounting and Statistics; Executive Yuan; Taipei, TAIWAN R.O. CHINA.
Abstract :
The paper presents two statistics for testing gammality based on complete and incomplete random samples with unknown scale parameter. The distributions of the test statistics were approximated by using Monte Carlo simulation. The power of the statistics is investigated with respect to several altematives. The paper also presents statistical methods for reliability measurement from grouped data on items from a gamma life distribution. The maximum method is used to estimate reliability, tables are given for asymptotically optimal inspection time of the life tests which are moniitored only periodically.
Keywords :
Inspection; Life estimation; Life testing; Probability; Reliability theory; Sampling methods; Shape; Statistical analysis; Statistical distributions; Weibull distribution; Goodness-of-fit test; gamma distribution; grouped data; life test; power comparison;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1987.5222480