The response variable in an experiment follows a 2-parameter Weibull distribution having a scale parameter that varies inversely with a power of a deterministic, externally controlled, variable generically termed a stress. The shape parameter is invariant with stress. A numerical scheme is given for solving a pair of nonlinear simultaneous equations for the maximum likelihood (ML) estimates of the common shape parameter and the stress-life exponent. Interval and median unbiased point estimates for the shape parameter, stress-life exponent and a specified percentile at any stress, are expressed in terms of percentage points of the sampling distributions expressed pivotal functions of the ML estimates. A numerical example is given.
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
- Safety, Risk, Reliability and Quality
- Computer Graphics and Computer-Aided Design
- Hardware and Architecture