The figure represents the comparison results of ExOR protocol using simulation, binomial model, and the DTMC model for the comparison metric expected number of transmissions.
In ruin theory, the compound binomial model and the risk model based on a discrete-time renewal process have been extensively analyzed by [1, 2], among many others.
The hypotheses tests are implemented on the basis of two random effect or Bayesian models, namely, the hierarchical Poisson/Gamma or Negative Binomial model and the hierarchical Poisson/Lognormal model.
In Table 2, we present different estimations of a pooled proportion (event rates) using the binomial model and the beta-binomial model.
This discrepancy between the negative binomial model and the variance to mean data was probably to be expected.
The probability that each functional category was over-represented in a cluster was derived using a binomial model and the P values were corrected for multiplicity using the Bonferroni method.
The total variance of ln CE) is obtained by combining a normal approximation for B (corresponding to p ^ in a binomial model) and the delta method, which states that for sufficiently regular functions h, var(h(x)) = var(x) h′(x)^2.
In terms of the confidence intervals, the differences between Cox, Poisson and log-binomial models and the reference were less than 5%, except for Poisson scaled by deviance, where the CIs were approximately 50% narrower.
In our study both the MLE, generated by the log-binomial models and the pseudo-likelihood estimators, produced by the robust Poisson models, were deteriorated when outliers were introduced.
Figure 1 illustrates how the Poisson regression, negative binomial models and Pareto distribution fit the observed data and it is clear that in the two age groups, the negative binomial model fitted the observed data best.
We excluded induced abortions from the binomial models and restricted analyses to participants with information on all variables (n=802 680).
