Imprecise measurements may seriously affect the efficiency of process control and production cost. For two dependent processes, the in-coming quality variable in the first process may influence the out-going quality variable in the second process. To effectively monitor and distinguish the state of the two dependent process steps with imprecise measurements, the EWMA control chart and cause-selecting control chart are constructed by taking account of the measurement errors. The EWMA control chart for imprecise measurements is constructed to monitor small shifts in the process mean on the first step, and the cause-selecting control chart for imprecise measurements, is constructed to monitor small shifts in the process mean in the second step. The effects of imprecise measurements on the performance of the two proposed control charts are examined for the case, where the mean of each process may be changed by the occurrence of a special cause. The performance of the proposed control charts is measured by the average run length. A sensitivity analysis indicates that a larger variation of imprecise measurements leads to a larger average run length for the out-of-control process and a larger average loss.
Most jurisdictions in the United States award pain and suffering damages to spouses of victims in wrongful death cases. In several East Asian countries, spouses, parents, and children of the victim can all demand pain and suffering damages. Despite the prevalence of this type of damages, and the oft-enormous amount of compensation, there has been no large-scale empirical study on how judges achieve the difficult task of assessing pain and suffering damages. Using a unique data set containing hundreds of car accident cases rendered by the court of first instance in Taiwan, with single-equation and structuralequation models, we find the plaintiffs' ad damnum has a statistically significant influence on the court-adjudicated pain and suffering damages. That could be evidence for the anchoring effect. Nevertheless, courts are very sensitive to the possibility of pushing defendants into financial hardship. When defendants' out-of-pocket payments of pecuniary damages, divided by defendants' income, are positive, this amount has a negative effect on the amount of pain and suffering damages, whereas when they are negative (this could happen because the amount of compulsory insurance payment had to be deducted), the amount in absolute value has a positive effect. Not all next-of-kin received the same amount. Spouses of the victim received more than other next-of-kin, and adult children received the least among eligible relatives. Parents, however, tended to be awarded a high amount of pain and suffering damages when they were the only familial group suing the defendant.
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