We establish empirically using three different definitions of US cities that the upper tail obeys a Pareto law and not a lognormal distribution. We emphasize estimation of a switching point between the body of the city size distribution (which includes most cities) and its upper tail (which includes most of the population). For the 2000 Census Places data, in particular, our preferred model sug...

Most methods for finding interesting gene expression profiles from gene microarray data are based on a single discriminant, e.g. the classical paired t-test. Here a different approach is introduced based on gene ranking according to Pareto depth in multiple discriminants. The novelty of our approach, which is an extension of our previous work on Pareto front analysis (PFA), is that a gene’s rel...

Prospective payment encourages managed care organizations to select low-risk patients. This article models an entitlement program utilizing patient-level competitive bidding to mitigate risk selection. Three mechanisms are tested: uniform payment, pure bidding, and a mix of payment and bidding. Results show selection always occurs under optimal uniform payment, but never under either bidding me...

One of the biggest challenges in automotive industry focuses on weight reduction in sheet metal forming operations, in order to produce a high quality metal part with minimal cost production. Stamping is the most widely used sheet metal forming process; but its implementation introduces several difficulties such as springback and failure. A global and simple approach to circumvent these unwante...

Recent radar research interests in the Pareto distribution as a model for X-band maritime surveillance radar clutter returns have resulted in analysis of the asymptotic behaviour of this clutter model. In particular, it is of interest to understand when the Pareto distribution is well approximated by an Exponential distribution. The justification for this is that under the latter clutter model ...

Multi-objective optimization of a venturi scrubber was carried out using a three-dimensional model for collection efficiency and non-dominated sorting genetic algorithm (NSGA). Two objective functions, namely (a) maximization of the overall collection efficiency, and (b) minimization of the pressure drop were used in this study. Three decision variables including two operating parameters, viz l...

Generalized linear models might not be appropriate when the probability of extreme events is higher than that implied by the normal distribution. Extending the method for estimating the parameters of a double Pareto lognormal distribution (DPLN) in Reed and Jorgensen (2004), we develop an EM algorithm for the heavy-tailed Double-Pareto-lognormal generalized linear model. The DPLN distribution i...

Abstract. Aksomaitis and Burauskaite-Harju [Information Technology and Control, 38, 2009, 301-302] studied the distribution of max(X1, X2,..., Xp) when (X1, X2,..., Xp) follows the multivariate normal distribution. Here, we study the moments of min(X1, X2,..., Xp) and max(X1, X2,..., Xp) when (X1, X2,..., Xp) follows the most commonly known multivariate Pareto distribution. Multivariate Pareto ...