A general theory of the stochastic maximum principle based on random convex analysis was given by Bismut [20].
For completeness, we also display the full maps based on random effects analysis in the Supplemental Materials.
Figure 1 B and Supplementary Figure 1 show the resultant group-averaged activity map in response to these large versus small stimuli, based on random-effect analysis, in both hemispheres.
This study comprised four phases, which were design of the initial study questionnaire, testing of the validity of the responses of experts to the questionnaire, exploratory factor analysis based on random sampling, and confirmatory factor analysis based on a large-scale investigation.
All based on random effects meta-analysis.
Table 3 gives the average IRR, based on random effects meta-analysis, by age group and sex (baseline: 25 29-year 25 29-yearach sex).
Based on random effects meta-analysis, estimates of the mean within-cluster concordance probability and the between-cluster variance were μ ^ = 0.75 and τ ^ 2 = 0.0013 respectively.
Other methods, including the use imputation based on random effects meta-analysis of correlations between personal and ambient exposures reported in the literature [ 54, 55], have also been used to demonstrate increases in effect estimates and widening of 95%CIs in a study of heart rate variability [ 56].
Guo initiated a new approach to random functional analysis [1 3], whose main idea is to develop random functional analysis as functional analysis based on random normed modules, random inner product modules and random locally convex modules.
A total of 114 positive DNA bands were observed among wild P. ostreatus based on random amplified polymorphic DNA analysis (RAPD) with 10 primers, showing a total number of polymorphic markers of 91 and average polymorphism of 80.24%.
