New partial ordering of survival functions based on the notion of uncertainty
Tóm tắt
A new partial ordering among life distributions in terms of their uncertainties is introduced. Our measure of uncertainty is Shannon information applied to the residual lifetime. The relationship between this ordering and various existing orderings of life distributions are discussed. Various properties of our proposed concept are examined. Based on our proposed ordering and various existing orderings, the notion of a ‘better system' is introduced.
Từ khóa
Tài liệu tham khảo
Barlow, 1981, Statistical Theory of Reliability and Life Testing: Probability Models.
Ross, 1983, Stochastic Processes.
Stoyan, 1983, Comparison Methods for Queues and Other Stochastic Models.
Wiener, 1948, Cybernetics.
Muth, 1977, The Theory and Applications of Reliability
Ebrahimi N. (1992) How to measure uncertainty in the residual life time distribution. Submitted for publication.