Optimal Pooling in Claims Resolution Facilities

Optimal Pooling in Claims Resolution Facilities

Optimal pooling strategies for laboratory testing

We consider the optimal strategy for laboratory testing of biological samples when we wish to know the results for each sample rather than the average prevalence of positive samples. If the proportion of positive samples is low considerable resources may be devoted to testing samples most of which are negative. An attractive strategy is to pool samples. If the pooled samples test positive one m...

Optimal Pooling Designs with Error Detection

Consider a collection of objects, some of which may be ‘bad’, and a test which determines whether or not a given sub-collection contains no bad objects. The non-adaptive pooling (or group testing) problem involves identifying the bad objects using the least number of tests applied in parallel. The ‘hypergeometric’ case occurs when an upper bound on the number of bad objects is known a priori. H...

Standardizing the resolution claims for coherent microscopy

Scientific development is founded on the use of precisely defined units and metrics. In microscopy, important metrics include the imaging system’s magnification, field of view, depth of field, and spatial resolution. While many of these are easy to define in an unambiguous manner, the measurement of resolution can be problematic. In this Commentary, we propose the adoption of a standard imaging...

Optimal claims with fixed payoff structure

Dybvig ? introduced the interesting problem of how to construct in the cheapest possible way a terminal wealth with desired distribution. This idea has induced a series of papers concerning generality, consequences and applications. As the optimized claims typically follow the trend in the market, they are not useful for investors who wish to use them to protect an existing portfolio. For this ...