AN EXACT LOWER CONFIDENCE BOUND FOR THE RELIABILITY OF A SERIES SYSTEM WHERE EACH COMPONENT HAS AN EXPONENTIAL TIME TO FAILURE DISTRIBUTION

Abstract

Consider a complex system consisting of several components in series. The system as a whole is either impossible or too expensive to test. The only data available are the times to failure of the components when tested individually. Based on these data an exact lower confidence bound for the reliability of the system is obtained. Initially, the method is developed for the case when the components are independent. Later the method has been extended to the case when the components are dependent and have multivariate exponential time to failure distribution. The sampling method considered is type II censoring of r out of n with or without replacement. An asymptotically smallest confidence interval has also been developed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 05, 1969
Accession Number
AD0684860

Entities

People

  • Tapas K. Sarkar

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Complex Systems
  • Computer Programming
  • Data Science
  • Distribution Functions
  • Information Science
  • Intervals
  • Military Research
  • Operations Research
  • Order Statistics
  • Probability
  • Random Variables
  • Reliability
  • Sampling
  • Security
  • Statistics
  • Theorems

Fields of Study

  • Engineering

Readers

  • Regression Analysis.