Stochastic-based accuracy of data reconciliation estimators for linear systems

Accuracy of an instrument has been traditionally defined as the sum of the precision and the bias. Recently, this notion was generalized to stimators [Bagajewicz, M. (2005a). On the definition of software accuracy in redundant measurement systems.AIChE Journal, 51(4), 1201–1206]. he definition was based on the maximum undetected bias and ignored the frequency of failure, thus providing an upper bound. In more recent ork [Bagajewicz, M. (2005b). On a new definition of a stochastic-based accuracy concept of data reconciliation-based estimators. In European ymposium onComputer-Aided Process Engineering Proceeding (ESCAPE)], a more realistic concept of expected value of accuracy was presented. owever, only the timing of failure and the condition of failure was sampled. In this paper we extend the Monte Carlo simulations to also sample he size of the gross errors and we provide new insights on the evolution of biases through time. 2007 Elsevier Ltd. All rights reserved.