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2009

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Lower Confidence Bounds For System Reliability From Binary Failure Data Using Bootstrapping, Lawrence Leemis Jan 2009

Lower Confidence Bounds For System Reliability From Binary Failure Data Using Bootstrapping, Lawrence Leemis

Arts & Sciences Book Chapters

We consider the problem of determining a (1 – A) 100% lower confidence bound on the system reliability for a coherent system of k components using the failure data (yi, ni), where yi is the number of components of type i that pass the test and ni is the number of components of type i on test, i1, 2, …, k. We assume throughout that the components fail independently, e.g. no common-cause failures. The outline of the article is as follows. We begin with the case of a single (k1) component system where n components are placed on a test …


A Population Density Model Of The Driven Lgn/Pgn, Marco A. Huertas, Gregory D. Smith Jan 2009

A Population Density Model Of The Driven Lgn/Pgn, Marco A. Huertas, Gregory D. Smith

Arts & Sciences Book Chapters

The interaction of two populations of integrate-and-fire-or-burst neurons representing thalamocortical cells from the dorsal lateral geniculate nucleus (dLGN) and thalamic reticular cells from the perigeniculate nucleus (PGN) is studied using a population density approach. A two-dimensional probability density function that evolves according to a time-dependent advection-reaction equation gives the distribution of cells in each population over the membrane potential and de-inactivation level of a low-threshold calcium current. In the absence of retinal drive, the population density network model exhibits rhythmic bursting. In the presence of constant retinal input, the aroused LGN/PGN population density model displays a wide range of responses …