Probabilistic Design

  • Yakov Ben-Haim
Part of the Mathematics and Its Applications book series (MAIA, volume 20)


In the previous three Chapters we have studied assay-system design and measurement-interpretation as separate tasks in the assay of spatially random materials. In Chapters 2 and 3 we developed and generalized the concept of relative resolution as a measure of performance. The relative resolution is a deterministic design tool in the sense that it accounts for all allowed spatial distributions of the analyte, without consideration of the relative probability of different distributions. The relative resolution is a concise physically meaningful quantity, and it can be formulated algorithmically for convenient computation. In Chapter 4 we turned our attention from assay-system design to probabilistic interpretation of measurement. The basic tool in probabilistic analysis is the conditional probability density. We studied the construction of conditional densities, and we found that extensive stochastic information about the assay problem is required, as well as considerable computational effort.


Measurement Vector Probabilistic Design Conditional Density Conditional Probability Density Source Particle 
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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1985

Authors and Affiliations

  • Yakov Ben-Haim
    • 1
  1. 1.Department of Nuclear EngineeringTechnion-Israel Institute of TechnologyIsrael

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