Statistical Aspects of Reliability, Maintainability and Availability.

Abstract

During this period, a total of 11 research papers were issued, 5 papers were published in scientific journals or volumes, and 12 papers are in press of accepted for publication. The research performed under this contract developed theory, concepts, and methods in reliability, availability, and maintainability in a variety of topic areas. Some of the topic areas treated include: Optimum assembly of systems; Multistate system theory; Testing whether a new item is stochastically longer-lived than an item of specified age; Nonparametric estimation of a discrete survival function when observations are censored, yielding a smoother estimate than the standard Kaplan-Meir method estimate; Measuring the effect of increased censorship on an estimate of a life distribution; A generalization of total positivity; Characterization of discrete IFR distributions based on coincidences among order statistics; Extension of Schur functions and majorization to the continuous case; Testing whether new is better than used of a specified age with randomly censored data; Further multivariate probability inequalities using Schur functions and increasing in arrangement functions; Simultaneous estimation of coherent system survival function and component survival functions using censored data; Development of maintenance models in which maintenance actions are subject to random error; and Development of new Markov stochastic processes corresponding to notions of IFR, IFRA, etc.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA160126

Entities

People

  • Frank Proschan
  • M. Hollander

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Assembly
  • Availability
  • Censorship
  • Contracts
  • Data Science
  • Inequalities
  • Information Science
  • Maintainability
  • Maintenance
  • Mathematics
  • Order Statistics
  • Probability
  • Reliability
  • Statistics
  • Stochastic Processes
  • Survival

Readers

  • Software Engineering
  • Statistical inference.
  • Technical Research and Report Writing.