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Forest dynamics were mostly modelled using distribution models, gap models and distance-dependent tree models.
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The slip bands are modelled using discrete distributions of circular super glide dislocation loops constrained at grain boundaries for a spherical grain boundary embedded in an infinite matrix.
Let the trial observation data in two matching sub-groups be drawn from the random variables X c and X t, which are appropriately modelled using normal distributions [13]: begin{array}{*{20}l} &X_{t} sim frac{1}{sigma_{t} sqrt{2pi}} exp left{ - frac{(x - m_{t})^{2}}{2sigma_{t}^{2}} right},, text{and } &X_{c} sim frac{1}{sigma_{c} sqrt{2pi}} exp left{ - frac{(x - m_{c})^{2}}{2sigma_{c}^{2}} right}.
The probability that either mammography or CE MRI or mammography and CE MRI combined detected a cancer; the probability of recall was modelled using multinomial distributions.
The extreme rainfall intensity is modelled with peaks-over-threshold (POT) based Generalized Pareto Distribution (GPD) and frequency is modelled using inhomogeneous Poisson distribution.
Non-uniformity evolution rates were modelled using discrete gamma distribution (G) and the Tamura Nei substitution model with gamma distribution and invariable rates (I) (TN93 + G + I) was chosen [ 45].
The theoretical tensile strengths for composites from 20 to 50% w/w LCN content were modelled using the fibre distribution of the 30% composite material and compared with the experimental results.
Figure 1 plots the change in log rate ratio associated with the 30 day lag period for both AP and CDP as modelled using the quadratic lag distribution model.
Rate variation among branches was modelled using the uncorrelated lognormal distribution (UCLD) model.
It is shown that this build-up, represented by a Husid plot, can be very well modelled using a simple lognormal distribution.
Radiocarbon ages were calibrated within Bacon using SHCal13 and modelled using Student-t test distributions with wide tails to negate the need of identifying and removing potential outliers in the age-depth model.
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