On the Concept of Off-Diagonal Generalized Sensitivity Functions and Their Relations to the Parameter Estimates and Correlation

Abstract

Generalized sensitivity functions describe the effects of the changes in the true values of a parameter over its estimates. In this paper, we define the off-diagonal generalized sensitivity functions which describe the effects of the changes in the true values of one parameter over the estimates of the other parameter. Their relations with the estimates of the parameters and the correlation amongst the parameters have been developed theoretically and verified with the help of the logistic growth population model. Changes in the parameter estimates are reflected in the changes in their generalized and off-diagonal generalized sensitivity functions.