New partial ordering of survival functions based on the notion of uncertainty

Journal of Applied Probability - Tập 32 Số 1 - Trang 202-211 - 1995
Nader Ebrahimi1, Franco Pellerey2
1Northern Illinois University
2Politecnico di Milano

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

10.1017/S0001867800018929

10.1002/1520-6750(198902)36:1<103::AID-NAV3220360108>3.0.CO;2-7

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

10.1002/1520-6750(199310)40:6<829::AID-NAV3220400607>3.0.CO;2-D

10.1080/02331889208802380

10.1017/S0021900200037839

10.1002/j.1538-7305.1948.tb01338.x

Ebrahimi N. (1992) How to measure uncertainty in the residual life time distribution. Submitted for publication.

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Thông tin xuất bản

Journal of Applied Probability

Tập 32 Số 1

202-211

Thông tin tác giả