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Approximating the regression function with a high dimensional piecewise linear model, the non-decreasing constraint is incorporated through a prior distribution for the slopes consisting of a product mixture of point masses (accounting for flat regions) and truncated normal densities.
The null distribution is the 50∶50 mixture of point
The test should be compared with the 50∶50 mixture of point
Instead, the null distribution is the 50 50 mixture of point mass 0 and χ 1 2 (Self and Liang 1987).
The LRT for one extra variance component is distributed as a mixture of point 0 and 1degrees of freedom (df) [ 46].
For example, (Thomann et al., 2002) and (Jaqaman et al., 2008) used the mixture of point spread functions to fit clustered particles.
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On this reading, history escapes a linear or teleological path around a fixed point and becomes a mixture of points at which possibilities are either realised or rejected but never disappear completely.
But, for moral reasons, I've decided this is going to be a one-whale holiday; so through a mixture of pointing, sign language and laughing (I've given up the nose rubbing - maybe I got that wrong), I score half a halibut.
Patients therefore entered the study at a mixture of points on the above continuum.
The first one occurs when π = 0 or π = 1, and this case corresponds to the standard Gaussian prior (see above); the second one occurs when σ β 1 2 → 0, and in this case, the small-variance component of the mixture collapses to a point of mass at zero, giving rise to a prior that consists of a mixture of a point of mass at zero and a slab.
Two publicly available cytotoxicity datasets were downloaded from PubChem [24]: "Scripps" which contained a mixture of single point (percent inhibition) primary data and IC50 confirmation data and "NCGC" which contained only IC50 data [25].
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