Contributions to Structural, Stochastic and Statistical Reliability
Abstract
This report summarizes the work completed by the Principal Investigator in several subfields of Reliability Theory proposed for study under the support of the afore-named ARO grant. Research advances in four specific areas are reported, and twelve research papers are cited for details. In structural reliability, new and useful properties of system signatures are developed. Examples include necessary and sufficient conditions on the signatures of two competing systems for the respective system lifetimes to be ordered. Extensions of these results allow one to determine the precise number and location of the time points at which two survival functions or failure rates cross, thus making it possible to determine specific intervals of time in which one system performs better than another. In two referenced papers, new results are obtained on estimating survival and related functions in non-standard circumstances: (1) the problem of estimating the cumulative incidence functions subject to a form of stochastic ordering; and (2) problems in which only autopsy data (for example, data on the survival or failure of the welded steel bars in a collapsed structure) are available for the development of inference about the underlying distributions of material strength Y and the stress X to which the material is subjected.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 07, 2005
- Accession Number
- ADA441558
Entities
People
- Francisco J. Samaniego
Organizations
- University of California