First-order data sensitivity measures with applications to a multivariate signal-plus-noise problem

Abstract This paper considers the use of first-order (implicit-function-based) measures of the sensitivity of statistical parameter estimates to certain elements within the data. Although the methods considered are general, the focus is on a maximum likelihood problem in a signal-plus-noise context. We evaluate the accuracy of the measures and give an example of how they will be used in data analysis for a physical system.