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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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On the Correlation of Failure Rates

1986
A common problem in Probabilistic Risk Analysis (PRA) is to find the distribution of a function of random variables, i.e., $$\text{Y = f}\left( {\text{X}_\text{1} \text{,}\,\text{X}_\text{2} \text{, \ldots \ldots ,X}_\text{n} } \right)$$ (1) Y may be the failure rate of a system or the rate of occurrence of an event, while Xi may be the ...
G. Apostolakis, P. Moieni
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The failure rate of a convolution dominates the failure rate of any IFR component

Statistics & Probability Letters, 2015
Abstract The failure rate of a convolution dominates, i.e., globally outperforms, the failure rate of any IFR component. An example is given to show this is not true for a DFR component.
Henry W. Block, Thomas H. Savits
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Failure Rates and Failure Modes

1988
There are many collections of failure rate data compiled by Defense, Telecommunications, Industrial and other organisations.
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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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The Rate of Bridge Failure

Technology and Culture, 1981
Thank you for sending me a copy of Condit's letter about my review of Miller's The Eads Bridge. First let me quote exactly from the paragraph of Miller's book under question (p. 88, n. 29): "By 1877 the iron truss would climax in such structures as the 517-foot central span of the Cincinnati Southern Bridge over the Ohio. In the meantime, iron railroad
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Detection of Failure Rate Increases

Technometrics, 1973
The problem of devising systematic policies for replacement of equipment subject to wear-out involves the detection of increases in failure rates. Detection procedures are defined as stopping times N with respect to the observed sequence of random failures. The concepts of “quickness of detection” and “frequency of false reactions” are made precise and
G. Lorden, I. Eisenberger
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From Failure to Success: Replacing the Failure Rate [PDF]

open access: possibleSSRN Electronic Journal, 2017
The failure rate is arguably the variable most widely used in the evaluation of retirement strategies. Its main shortcoming, evaluating how often a strategy fails but not by how much it does, is overcome by shortfall years, which considers precisely this information.
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Failure mechanism based failure rate model

2009 9th International Conference on Electronic Measurement & Instruments, 2009
For electronic products, the typical failure rate curve takes on three-stage bathtub shape, while few failure rate equations can describe the bathtub shaped curve. Based on environment load impact failure mechanism, the present paper develops load-property interference failure rate model for electronic products. The operation load, i.e.
Liyang Xie, Xiurong Zhao
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ON CONDITIONS FOR MIXTURES OF INCREASING FAILURE RATE DISTRIBUTIONS TO HAVE AN INCREASING FAILURE RATE

Probability in the Engineering and Informational Sciences, 1999
Consider a family of distributions with survival distributions that are log concave and stochastically increasing in a parameter over which it will be mixed. It is shown that a necessary and sufficient condition for a mixture over any such family to have an increasing failure rate is that the mixing distribution have an increasing failure rate ...
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