Abstract
In [5], many inequalities for NBUE and NWUE life distributions are given. But, since there are some basic observations which do not hold (see Section 1 for details), many results obtained in [5] are not true. In this note we propose some remedies and give some new results.
Similar content being viewed by others
References
R. E. Barlow and F. Proschan, Statistical Theory of Reliability and Life Testing, Second Printing, to Begin With, Silver Spring, MD, 1981.
Cheng Kan and He Zongfu, Exponential Approximations in the Classes of Life Distributions,Acta Mathematicae Applicatae Sinica (English Series),4 (1988), 234–244.
A. L. Haines and N. D. Singpurwalla, Some Contributions to the Stochastic Characterization of Wear, in F. Proschan et al. eds., Reliability and Biometry, SIAM, Philadelphia, 1974, 47–80.
He Zongfu and Cheng Kan, Exponential Approximations for Some Classes of Life Distributions, in Reliability Theory and Applications, S. Osaki et al., eds., World Scientific, Singapore, 1987, 113–126.
R. L. Launer, Inequalities for NBUE and NWUE Life Distributions,Opers. Res.,32 (1984), 660–667.
A. W. Marshall and F. Proschan, Classes of Distributions Applicable in Replacement with Renewal Theory Implications, in L. LeCam et al., Proc. of the 6th Berkeley Symp. of Math. Statist. and Prob., Univ. of California Press, Berkeley, Calif.,1 (1972), 395–415.
Author information
Authors and Affiliations
Additional information
The proect supported by the National Natural Science Foundation of China.
Rights and permissions
About this article
Cite this article
Cheng, K., He, Z. Reliability bounds for NBUE and NWUE distributions. Acta Mathematicae Applicatae Sinica 5, 81–88 (1989). https://doi.org/10.1007/BF02006189
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02006189