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Identification of Failure Rates

Calcutta Statistical Association Bulletin, 2003
In this paper, we give an identity based on conditional mean to determine the failure rate of a distribution. Some well-known characterizations are deduced as special cases. We also present various applications of the identity. By extending this to the bivariate case, we obtain a class of distributions with a specified form of failure rate.
Gupta, R. P.   +2 more
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On Mixture Failure Rates Ordering [PDF]

open access: possibleCommunications in Statistics - Theory and Methods, 2006
Mixtures of increasing failure rate distributions (IFR) can decrease at least in some intervals of time. Usually, this property can be observed asymptotically as t → ∞. This is due to the fact that the mixture failure rate is “bent down” compared with the corresponding unconditional expectation of the baseline failure rate, which was proved previously ...
Maxim S. Finkelstein, Veronica Esaulova
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On the behavior of the failure rate and reversed failure rate in engineering systems

Journal of Applied Probability, 2020
AbstractIn this paper the behaviour of the failure rate and reversed failure rate of an n-component coherent system is studied, where it is assumed that the lifetimes of the components are independent and have a common cumulative distribution function F.
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On the Accuracy of Replication Failure Rates

Multivariate Behavioral Research, 2022
A prominent approach to studying the replication crisis has been to conduct replications of several different scientific findings as part of the same research effort. The reported proportion of findings that these programs determined failed to replicate have become important statistics in the replication crisis. However, these "failure rates" are based
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Building a system failure rate estimator by identifying component failure rates

Proceedings 10th International Symposium on Software Reliability Engineering (Cat. No.PR00443), 2003
Following the current trend towards the increased use of commercial off-the-shelf (COTS) components in safety-critical systems, the need arises to address safety issues related to COTS-based systems. In this paper, we introduce a hierarchical model to estimate the probability of failure, on demand, of a software system consisting of components. Thereby,
Kuball, S, May, J, Hughes, G
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