Statistical Aspects of Reliability, Maintainability and Availability.
Annual rept. 1 Oct 84-30 Sep 85,
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
Pagination or Media Count:
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.
- Statistics and Probability