We provide a representation theorem for risk measures satisfying (i) monotonicity; (ii) positive homogeneity; and (iii) translation invariance. As a simple corollary to our theorem, we obtain the usual representation of coherent risk measures (i.e., risk measures that are, in addition,...

We discuss statistical inference problems associated with identification and testability in econometrics, and we emphasize the common nature of the two issues. After reviewing the relevant statistical notions, we consider in turn inference in nonparametric models and recent developments on...

In 1972, Dreze and Modigliani Generalized the Line of Research Initiated by Leland [5] and Sandmo [8] on the Effects of Income Risk on Consumption. They Gave Necessary and Sufficient Conditions for Consumption to Decrease Under Income Risk. However, They Did Not Cover Extensively the Case of...

We Show That a Box-Cox Transformation on the Dependent Variable of Linear Regression Models Is Invariant to Power Transformations of That Variable Even Without the Presence of a Regression Constant And, Consequently, Can Sometimes Be Interpreted As a Simple Power Transformation the Estimation of...