Inference for Reliability and Stress-Strength for a Scaled Burr Type X Distribution

Inferencefor R=P(Y is considered when Xand Y are independently distributed as scaled Burrtype X random variables. Under this model, exact inference proceduresfor R cannot be found. Hence, based on the expectedFisher information matrix which is derived here, asymptotic inferenceprocedures for R and other general functions ofthe parameters are developed. A bootstrap method to estimatevariance for the maximum likelihood estimators is also discussed.To illustrate these techniques, an example using carbon fiberstrength data is given. Simulations to assess the effectivenessof these techniques, as well as other concerns, are presented.