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SUMMARY A study into geographical variability of reproductive health outcomes (e.g. birth-weight) in Upper Cape Cod, Massachusetts, USA, benefits from geostatistical mapping or kriging. However, also observed are a number of continuous covariates (e.g. maternal age) that exhibit pronounced non-linear relationships with the response variable. To properly(More)
The most important parameter of a histogram is the bin width, since it controls the trade-oo between presenting a picture with too much detail (\un-dersmoothing") or too little detail (\oversmoothing") with respect to the true distribution. Despite this importance there has been surprisingly little research into estimation of the \optimal" bin width.(More)
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BACKGROUND Psychologic stress modifies immune function and cytokine production. OBJECTIVE We examined relationships between caregiver stress on the following markers of early childhood immune response: (1) IgE expression (n=215); (2) mitogen-induced and allergen-specific (Dermatophagoides farinae [Der f 1] and cockroach [Bla g 2]) proliferative response(More)
SUMMARY Many statistical operations benefit from differential calculus. Examples include optimization of estimation criteria and calculation of information matrices. For multi-parameter models differential calculus suited to vector argument functions is usually the most efficient means of performing the required calculations. We present a primer on vector(More)
Fully simplified expressions for Multivariate Normal updates in non-conjugate variational message passing approximate inference schemes are obtained. The simplicity of these expressions means that the updates can be achieved very efficiently. Since the Multivariate Normal family is the most common for approximating the joint posterior density function of a(More)