Statistical Treatment of Certain Life Testing and Reliability Problems.
Abstract
In section 1 a number of problems relating to the ratio based on the expected length of time needed to observe the first r failures out of n items placed on the test (1 < or = r < or = n) and the expected length of time needed to observe all r failures of the sample placed on the test for various distributions (exponential, Weibull, uniform, Gamma, logistic, Pareto, Cauchy) are considered. In section 2 several interesting and useful properties of the Compound Weibull and related distributions are investigated. In section 3 power functions are derived for the Kumar-Patel test which are based on right censored samples for testing the equality of location parameters of two exponential distributions when their common scale parameter is unknown. In section 4 conditions under which a sequence of inequalities are valid are established, and some allied problems are discussed. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0774537
Entities
People
- Satya D. Dubey
Organizations
- New York University