Since we are not actually interested in the exact solution x2(t + h), but only in an approximation of the difference between the two solutions, it suffices to compute just one Newton step to get a first-oder approximation of that difference.
Such a dependence of the upcrossing time is inconsistent with the Poisson approximation that the time between the two upcrossings is independent [3].
However, as the regression model is used to control the degree of approximation, the loss in diversity between the two methods is within 2%.
However, if the sampled species provide an unbiased approximation of the genetic divergence between the two groups under study (the silvaniform and melpomene/ cydno clades in this case), then it seems reasonable to model the system under the Isolation with Migration framework.
These simulation results are computed using EPPR and EPPC approximations and show a close match between the two SLA methods.
However, for smaller mean (mbox{ISI}<10mbox{ ms}) the approximation becomes less exact, as does the similarity between the two distributions.
A comparison between the proposed MA and the Simultaneous Perturbation Stochastic Approximation (SPSA) algorithm was provided; results were similar between the two.
The Wilcoxon two sample test (T approximation) was used to test the null hypothesis of no significant difference between the two groups in the age at first healthcare claim during the study period (2006-2010) for specific medical conditions.
Furthermore, a CI for the difference between the two proportions will also be calculated, using a Gaussian approximation.
We find that in spite of the radically different approximations used in the two methods, agreement between the resulting motions and with the experimental data is surprisingly high.
