Preservation of some partial orderings under non-homogeneous Poisson shock model and Laplace transform

Microelectronics Reliability

Volumn 37, Issue 3, 1997, Pages 451-455

  Kan, Cheng ^a   Yi, Wang Wen ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PROBABILITY; QUEUEING THEORY; RANDOM PROCESSES;

CONCAVE ORDERING; FAILURE RATE ORDERING; HARMONIC AVERAGE MEAN RESIDUAL LIFE ORDERING; LIKELIHOOD RATIO ORDERING; MEAN RESIDUAL LIFE ORDERING; PARTIAL ORDERINGS; STOCHASTIC ORDERING; VARIABLE ORDERING; VARIANCE RESIDUAL LIFE ORDERING;

RELIABILITY THEORY;

EID: 0042729918     PISSN: 00262714     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0026-2714(96)00041-8     Document Type: Article

References (8)

1. Klefsjö, B., HNBUE survival under shock models. Scand. J. Statist., 1981, 8, 39-47.
2. Klefsjö, B., A new ageing property based on the Laplace transform. J. Appl. Prob., 1983, 20, 615-626.
3. Singh, H. and Jain, K., Preservation of some partial orderings under Poisson shock models. Adv. Appl. Prob., 1989, 21, 713-716.
4. Vinogradov, O. P., The definition of distribution functions with increasing hazard rate in terms of the Laplace transform. Theory of Probability and Its Applications, 1973, 18, 811-814.
5. Block, H. W. and Savits, T. H., Laplace transform for classes of life distributions. Ann. Prob., 1980, 8, 465-474.
6. Karlin, S., Total Positivity. Stanford University Press, Stanford, CA, 1968.
7. Barlow, R. E. and Proschan, F., Statistical Theory of Reliability Life Testing: Probability Models. Holt, Rinehart and Winston, New York, 1975.
8. Billingsley, P., Convergence of Probability Measures. Wiley, New York, 1975.