The problem of adjusting large systems of estimated economic or social accounts such that they fulfill known functional relationships can be quite complex. For such complex systems, evaluating the accuracy of the estimates after the adjustment is difficult since these estimates are defined by unadjusted initial estimates, the accounting equations and the adjustment method. In this paper, we consider such accounting systems as a single entity and develop scalar uncertainty measures that are based on the first two moments of the joint distribution of final adjusted estimates. Scalar measures can help to effectively communicate to the users the relevant uncertainty of disseminated macro-economic accounts and can assist the producer in choosing and improving adjustment method and input estimators. The proposed approach is illustrated both analytically and by simulation. Applications to supply and use tables and to time series data are presented.

调整估计的经济或社会账户的大型系统以使其履行已知的功能关系的问题可能非常复杂。对于这种复杂的系统，很难在调整后评估估计的准确性，因为这些估计是由未经调整的初始估计，会计方程和调整方法定义的。在本文中，我们将这样的会计系统视为一个单一实体，并基于最终调整后的估计的联合分布的前两个时刻来开发标量不确定性度量。标量措施可以帮助有效地与用户沟通所散布的宏观经济账户的相关不确定性，并可以帮助生产者选择和改进调整方法和投入估算。分析和仿真都说明了所提出的方法。介绍了提供和使用表格以及时间序列数据的应用程序。