Estimating Jointly System and Component Reliabilities Using a Mutual Censorship Approach.

Abstract

Let F denote the life distribution of a coherent structure of independent components. Suppose that we have a sample of independent systems, each having the structure phi. Each system is continuously observed until it fails. For every component in each system, either a failure time or a censoring time is recorded. A failure time is recorded if the component fails before or at the time of system failure; otherwise a censoring time is recorded. We introduce a method for finding estimates for F(t), quantiles, and other functionals of F, based on the censorship of the component lives by system failure. We present limit theorems that enable the construction of confidence intervals for large samples. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA168544

Entities

People

  • Frank Proschan
  • Hani Doss
  • Steven Freitag

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Censorship
  • Consistency
  • Covariance
  • Data Science
  • Gaussian Processes
  • Information Science
  • Integrals
  • Intervals
  • Mathematics
  • New York
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistics
  • Stochastic Processes
  • Surveys
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Statistical inference.