Inference on p{y<x} in the weibull case
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Simulation and Computation
- Vol. 20 (1) , 129-148
- https://doi.org/10.1080/03610919108812944
Abstract
The probability that a Weibull random variable Y is less than another independent Weibull random variable X is considered for the case where both X and Y have the same, but unknown, shape parameter. Tables,developed by Monte Carlo sampling, are presented whereby 90% confidence limits for this probability may be found in terms of its maximum likelihood estimate for 21 combinations of the size of the sample taken from each of the two populations and the ordered observation number at which the samples are type II censored. A normal approximation is also discussed and its accuracy vis-a-vis the exact values is examined as a function of sample size for a particular caseKeywords
This publication has 7 references indexed in Scilit:
- Confidence Limits for Stress-Strength Models With Explanatory VariablesTechnometrics, 1988
- 3 Stress-strength models for reliabilityPublished by Elsevier ,1988
- Two-Way Analysis of Variance for Weibull Populations.Published by Defense Technical Information Center (DTIC) ,1978
- On Procedures for Comparing Two Weibull PopulationsTechnometrics, 1976
- The Estimation of Reliability from Stress-Strength RelationshipsTechnometrics, 1970
- Nonparametric Upper Confidence Bounds for Pr{Y < X} and Confidence Limits for Pr{Y<X} WhenXandYare NormalJournal of the American Statistical Association, 1964
- ON A USE OF THE MANN-WHITNEY STATISTICPublished by University of California Press ,1956