A Note on standardized rates

The authors of this note demonstrate that it is not necessarily true that the standardized death-rate of a combined population will lie between the standardized death-rates of its two components.     

A test for crossing receiver operating characteristic (roc) curves

The receiver operating characteristic (ROC) curve gives a graphical representation of sensitivity and specificity of a prediction model when varying the decision treshold on a diagnostic criterion. A classical test for comparing the overall accuracies for two models -1 and 2- is based on the difference between ROC curves areas - related to its standard error. This test is designed for the situation where ROC curve 1 caps ROC curve 2. Often both curves cross :in this paper, a new test, based on the integrated difference between the curves, is proposed to deal with this situation. In a simulation experiment, the new test was less powerful than the old test for detecting an overall superiority, but much more powerfull against the crossing alternative.     

Notes on the Death Penalty in the Context of the September 11 Attacks

As of September 11, 2001, a rogue and criminal entity has sentenced us to death. The sentence makes no distinction between the innocent and the guilty. Its authors proceed as self-declared sovereigns exacting limitless retribution. The terrorizing extremity of their program reveals some of the malignant determinants in the pursuit of both sovereignty and retribution. Some of those determinants, also operative in judicially sanctioned executions, are as the focus of this paper.

Proponents of the death penalty want something from it. For them, having the State kill the convicted party seems to promise the kind of relief not available from any other form of punishment. This essay, using cultural and clinical material, addresses some of what might be wanted from the death penalty and some of what it seems to promise. The pursuit of such promise can be undertaken only as an exercise in sovereignty. Such pursuit depends on the unquestionable belief in one's absolute right to the imaginary fruits of retribution. This puts into question some of the determinants of that belief and that right.     

Calculation of the Prokhorov distance by optimal quantization and maximum flow

Calculating exact values of the Prokhorov metric for the set of probability distributions on a metric space is a challenging problem. In this paper probability distributions are approximated by finite-support distributions through optimal or quasi-optimal quantization, in such a way that exact calculation of the Prokhorov distance between a distribution and a quantizer can be performed. The exact value of the Prokhorov distance between two quantizers is obtained by solving an optimization problem through the Simplex method. This last value is used to approximate the Prokhorov distance between the two initial distributions, and the accuracy of the approximation is measured. We illustrate the method on various univariate and bivariate probability distributions. Approximation of bivariate standard normal distributions by quasi-optimal quantizers is also considered.     

The vertical network organization as a specific governance structure: what are the challenges for incomplete contracts theories and what are the theoretical implications for the boundaries of the (hub-) firm?

Departing from the seminal question that Coase raised in his 1937 work, this article discusses and assesses incomplete contracts theories’ analyses of the firm’s boundaries—notably transaction cost theory and the modern theory of property rights—by investigating the case of the vertical network organization (VNO). We perform a theoretical characterization and analysis of the functioning rules of the VNO to shed light on intra-network incentive provisions and coordination mechanisms. Our findings cast doubt on the role that hold-up considerations on the firm’s boundaries play and allow us to question forms of power within the VNO. Finally, we focus on the theoretical implications of the emergence of the VNO. The legal nature of the firm does not match the economic definition of the VNO, which tends to treat the firm as a specific governance structure.