The phrase "analyses of the stochastic" is correct and usable in written English.
It can be used in contexts related to statistical analysis, probability, or processes that involve randomness.
Example: "The researchers conducted analyses of the stochastic processes to better understand the underlying patterns in the data."
Alternatives: "examinations of the stochastic" or "studies of the stochastic".
Combining PDEM with finite-element dynamic time-series analysis, this study analyses the stochastic seismic response of a slope under random earthquake ground motion.
Or they need to be checked against stochastic analyses of the entire estate, similar to those in Ferguson (2015).
Bioinformatics and stochastic analyses of the Rox1p-binding site (YYYATTGTTCTC) in the upstream sequences of the S. cerevisiae Rox1p-mediated genes and of the K. lactis orthologs also indicated that K. lactis lacks the specific gene system responding to oxygen limiting environment, which is present in the 'post-WGD' genome of S. cerevisiae.
In this section of the paper we report and discuss the results from the distributional analyses, the stochastic maps and the overall effects of training context and fatigue.
The graphs show the results of global sensitivity analyses of stochastic effects of initial imperfections and residual stress on the resistance of the investigated steel beam.
However, the result is important when one wants to analyse the mean long time behaviour of the stochastic model via a bifurcation analysis of the deterministic limit as (2.14) suggests that E n ν t n is close to ν ( t ) for all times t ≥ 0 for sufficiently large n.
As an application we analyse the quasi sure regularity in time of the stochastic flow of diffeomorphisms generated by a stochastic differential equation with smooth coefficients.
A hybrid stochastic approach simplifies analyses of the spatio-temporal aspects of cell signaling and, as an example, demonstrates that receptor clustering contributes significantly to the efficiency of signal propagation from ligand-engaged growth factor receptors.
This result is also consistent with our theoretical analyses of the minimal network that showed the presence of large stochastic fluctuations under a weak stimulus.
The method offers a fairly complete package for statistical response analyses of stochastic systems, which includes response statistics, probability density functions, correlations, spectra, etc.
