Studies in Reliability Economics and Reliability Modeling and Inference

Abstract

Research accomplishments under ARO support can be grouped into seven problem areas. In *reliability economics*, we solved the important open problem of identifying optimal system designs relative to criterion functions based on both performance and cost. We also solved the related statistical estimation problem, allowing data-based approximations of optimal system designs. New results were obtained in *structural reliability*, and a research monograph in this area was completed. Sufficient conditions were obtained for the *optimal allocation* of the reliabilities p(1)....p(n) to the n components of a coherent system. Nonparametric inference under type I censoring has been developed for the distribution of bug discovery times in *software reliability*. Work on *systems with weighted components* clarifies their place within the theory of coherent systems and sheds light on their monotonicity properties. We introduced the concept of "self-consistency" in *Bayesian inference* and demonstrated its relevance to the "consensus problem". New inference procedures for dealing with autopsy data from *stress-strength experiments* have been justified.

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Document Details

Document Type
Technical Report
Publication Date
Aug 25, 2008
Accession Number
ADA500005

Entities

People

  • Francisco J. Samaniego

Organizations

  • University of California

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Bayesian Inference
  • Consistency
  • Contracts
  • Data Science
  • Estimators
  • Information Science
  • Knowledge Management
  • Military Research
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Estimation
  • Statistical Inference
  • Statistics
  • Students
  • Theorems

Readers

  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms