Analysis of new data on the relationship between and premiums and coverage in the individual insurance market and health risk shows that actual premiums paid for individual insurance are much less than proportional to risk, and risk levels have a small effect on obtaining coverage. States limiting risk rating in individual insurance display lower premiums for high risks than other states, but s...

The Location Model with Risk Pooling (LRMP) seeks to locate distribution centers to minimize the sum of fixed location costs, transportation costs, and inventory costs. The risk-pooling effects of consolidating inventory sites are explicitly handled in the location model. In this paper, we present a stochastic version of the LMRP (SLMRP) that optimizes location, inventory, and allocation decisi...

The pq-relaxation for the pooling problem can be constructed by applying McCormick envelopes for each of the bilinear terms appearing in the so-called pq-formulation of the pooling problem. This relaxation can be strengthened by using piecewise-linear functions that overand under-estimate each bilinear term. The resulting relaxation can be written as a mixed integer linear programming (MILP) mo...

There is growing interest in pooling specimens across subjects in epidemiologic studies, especially those involving biomarkers. This paper is concerned with regression analysis of epidemiologic data where a binary exposure is subject to pooling and the pooled measurement is dichotomized to indicate either that no subjects in the pool are exposed or that some are exposed, without revealing furth...

A quantitative model was constructed to estimate the probability that a serving of food containing eggs produced on the island of Ireland is contaminated with Salmonella spp. The model is based on the prevalence of contaminated eggs at the time of lay and a set of parameters which describe the pooling of eggs in the home and in catering situations. Both external and internal contamination of th...

Feature extraction, coding and pooling, are important components on many contemporary object recognition paradigms. In this paper we explore novel pooling techniques that encode the second-order statistics of local descriptors inside a region. To achieve this effect, we introduce multiplicative second-order analogues of average and maxpooling that together with appropriate non-linearities lead ...