Statistical methods for large flight lots and ultra-high reliability applications

Ladbury, Raymond L.; Gorelick, J.L.

doi:10.1109/tns.2005.861080

Cited by 19 publications

(10 citation statements)

References 4 publications

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“…The values of the four Weibull parameters L 0 , sat , W and S maximizing the probability P represent the best fit for the test data [9], [10]. In other words, the best fit parameters for the test data are the ones for which the probability P, probability to carry out the measurements, is maximum.…”

Section: Datamentioning

confidence: 99%

“…As other (L 0 , sat , W, S) parameters, associated to any probability P, move away from the best fit, the likelihood ratio logarithm varies about a ² distribution [9], [10].…”

Section: Confidence Interval Calculationmentioning

confidence: 99%

“…Manuscript We highlight the most critical parameters in heavy ion SEE rate calculation. Then we adapt the maximum likelihood method [9]: the Weibull parameters are optimized thanks to a genetic algorithm and the SEE rate -calculated with the OMERE [10] SEE module -is not only given as a simple value, but with an interval of uncertainty and a confidence level.…”

mentioning

confidence: 99%

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Statistical estimation of uncertainty for single event effect rate in OMERE

Sukhaseum¹,

Chatry²,

Varotsou³

et al. 2011

2011 12th European Conference on Radiation and Its Effects on Components and Systems

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Single Event Effect (SEE) rate prediction is made by combining the cross section vs LET for the part (from heavy ion test) with the on-orbit radiation environment. A significant number of technological parameters are involved in the Single Event Rate (SER) computation. Some of them may not be known and must be guessed. Those approximated values may dramatically increase the SER uncertainty. In the first step, this paper is focused on the SER calculation dependency on 3 types of parameters: device parameters characterizing radiation sensitivity, Weibull fit parameters and radiation environment parameters. We highlight the most critical parameters in heavy ion SEE rate calculation, using the RPP method and a Weibull distribution. An uncertainty calculation method based on a statistical approach has been implemented in OMERE.Index Terms -SEE rate, Weibull, uncertainty, RPP method, maximum likelihood.

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Section: Datamentioning

confidence: 99%

“…As other (L 0 , sat , W, S) parameters, associated to any probability P, move away from the best fit, the likelihood ratio logarithm varies about a ² distribution [9], [10].…”

Section: Confidence Interval Calculationmentioning

confidence: 99%

See 1 more Smart Citation

Statistical estimation of uncertainty for single event effect rate in OMERE

Sukhaseum¹,

Chatry²,

Varotsou³

et al. 2011

2011 12th European Conference on Radiation and Its Effects on Components and Systems

View full text Add to dashboard Cite

show abstract

“…In addition, we have also pointed out that using the means and standard deviations we can generalize the results for any well behaved distribution form using the method of moments. Finally, it is a trivial exercise to fit data simultaneously to multiple distributions and assess potential distribution dependence as in [4].…”

Section: Extensions and Limitationsmentioning

confidence: 99%

“…Application of model selection techniques to the Bayesian methodology is straightforward, since the metrics used to compare models are based on the likelihood, which is also needed to apply Bayes' Theorem. Also, fortunately, parts with truly pathological (e.g., bimodal or thick-tailed) radiation performance are rare [4].…”

Section: Extensions and Limitationsmentioning

confidence: 99%