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This paper is concerned with the intellectual framework in which judgments are made about the tolerability of so-called societal risk. The current practical approach is based on the position of the FN-curves representing the risks from hazardous systems in relation to criterion FN-lines. The objections to FN-criteria are that they can give unreasonable conclusions and that they are inconsistent. Statistical decision theory suggests an alternative and preferable rule of minimising the expected disutility, that is average harm, from accidents. 相似文献
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In this paper we present a "model free' method of outlier detection for Gaussian time series by using the autocorrelation structure of the time series. We also present a graphic diagnostic method in order to distinguish an additive outlier (AO) from an innovation outlier (IO). The test statistic for detecting the outlier has a χ ² distribution with one degree of freedom. We show that this method works well when the time series contain either one type of the outliers or both additive and innovation type outliers, and this method has the advantage that no time series model needs to be estimated from the data. Simulation evidence shows that different types of outliers can be graphically distinguished by using the techniques proposed. 相似文献
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In this paper we express the sample autocorrelations for a moving average process of order q as a function of its own theoretical autocorrelations and the sample autocorrelations for the generating white noise series. Approximate analytic expressions are then obtained forthe moments of the sample autocorrelations of the moving average process. Using these expressions, together with numerical evidence, we show that Bartlett's asymptotic formula for the variance of the sample autocorrelations of moving average processes, which is used widely in identifying these processes, is a large overestimate when considering finitesample sizes. Our approach is for motivational purposes and so is purely formal, the amount of mathematics presented being kept to a minimum. 相似文献
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