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The possible geometric uncertainties are modeled by random variables.
The uncertainties in the loads and resistance are modeled by random processes and random variables.
Processes that might be modeled by random motions are ubiquitous in physics, engineering, finance, biochemistry, and biology.
Sensor performance is usually evaluated a posteriori after numerous essays, in a probabilistic framework were unknwon quantities are modeled by random variables.
A new method for computing the node-pair reliability of network systems modeled by random graphs with nodes arranged in sequence is presented.
In biology and the life sciences, cell motion, particles in cells, molecular motion, and many other such phenomena are fruitfully modeled by random processes.
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Here the variation in the mental health score was modelled by random intercept terms for households, LSOAs and unitary authorities, and a random error term for individuals.
In each case, the trait measured in F2 offspring was modelled by random effects for clonal line and subline nested within clonal line.
In general, it is important to note that for logistic regression, the population averaged model (fitted using GEE) and the cluster specific method (modelled by random effects models) are in fact estimating different population models.
In the initial 'null' three-level model of random intercepts, the variation in the mental health score was modelled by random intercept terms for wards and unitary authorities and an individual random error term.
Several preparation methods of catalyst or catalyst support are modelled by random-process simulations that produce selfsimilar structures of fractal nature.
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