A three-dimensional statistical model of fault damage zone architecture, incorporating fault size, orientation and spatial characteristics observed in natural examples, is used with a two-dimensional discrete fault flow model to investigate fluid flow and up-scaling of permeability in fault damage zones with a permeability contrast between rock matrix and fault rock of four orders of magnitude.
Multi-dimensional statistical models improving upon the performance of the nitrenium formation energy parameter alone were difficult to construct.
D. C. and J. M. acknowledge the support of the Isaac Newton Institute through the program Monte Carlo Inference for High-Dimensional Statistical Models.
Furthermore, probabilistic estimates of kinematic wave parameters are enabled based on uncertainty information that is generated during the multi-dimensional statistical modeling.
Both one-dimensional and multi-dimensional statistical models are proposed to quantify the relationships between the pertinent measure of lexical richness and the prominent indicative variables, including age, level of education, and profession premium.
The approach is based on a multi-dimensional statistical modeling of the macro scale spatial variability of rating curve parameters using a set of geophysical factors including geomorphology, hydro-climatology and land cover/land use over the Conterminous United States.
Accordingly, the objective of this study was to develop a comprehensive set of three-dimensional statistical models to characterize anatomical variability in the lumbar spine, by specifically describing the shape of individual vertebrae, and shape and alignment of the entire lumbar spine (L1-S1), with a focus on the L4-L5 and L5-S1 functional spinal units (FSU).
To determine P (Bi |I') when I' is high dimensional, a statistical model must be used to approximate it.
On the other hand, Hidden Markov Models, which can be thought of as one dimensional statistical mechanics models of multiple proteins binding on DNA, have been applied to study multiple binding sites for protein complexes in a stretch of DNA [ 38, 39].
Three-dimensional statistical shape modelling was used to extract morphological variations from surface models of the lateral menisci of 50 control subjects obtained from a publically available dataset.
By analyzing the statistical model of three-dimensional surface plot, BOL production increased from 36.8% to 42.4% after the first step of optimization, and the overall biotransformation increased to 51.9%.
