Abstract
New definitions of aging are introduced and their properties are examined. Two-sided reliability bounds are obtained for a number of shock models in classes of distribution functions with these properties.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
Literature Cited
M. Shaked, "Extensions of the IFR and IFRA aging notions," SIAM J. Appl. Math.,40, No. 3, 542–550 (1981).
S. O. Golovin, "A method for approximate determination of the expected number of replacements of elements in a unit," Nadezhnost’ i Kontrol’ Kachestva, No. 7, 58–59 (1979).
A. Abouammon and A. Ahmed, "The new better than used failure rate class of life distribution," Adv. Appl. Prob.,20, 237–240 (1988).
R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, Holt, Reinhart and Winston, New York (1974).
W. B. Buchanan and N. D. Singpurwalla, "Some stochastic characterization of multivariate survival," in: C. P. Jsokos and I. N. Shimi (eds.), The Theory and Application of Reliability, Vol. 1, Academic Press, New York (1977), pp. 329–348.
W. Feller, An Introduction to Probability Theory and Its Applications [Russian translation], Vol. 2, Mir, Moscow (1984).
T. Rolsky, "Mean residual life," Bull. Int. Stat. Inst.,46, 266–270 (1975).
I. N. Kovalenko, N. Yu. Kuznetsov, and V. M. Shurenkov, A Handbook of Stochastic Procesess [in Russian], Naukova Dumka, Kiev (1983).
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 12–23, March–April, 1992.
Rights and permissions
About this article
Cite this article
Kotlyar, V.Y. A class of "aging" distributions. Cybern Syst Anal 28, 170–179 (1992). https://doi.org/10.1007/BF01126202
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01126202