Most of the results in this paper are derived assuming continuous probability distributions for f(d 1,d 2) and f d (d 1) because an easy and unique way to calculate EI exists for continuous distributions in our setup (more details in section "Calculation of extremal index (EI)").
For continuous distributions, including gamma, the approximation is very good.
Unfortunately, Zhou and Dinh [ 5] did not include the Welch U interval in their simulation study, thus a comparison of the Welch U and the bootstrap- t intervals for continuous distributions is not available.
Since the textbook tables of Kolmogorov-Smirnov p values are computed for continuous distributions, we convert from Z to p values with Monte Carlo simulations (counting ties in Z as "half a hit").
Choice data from the experiments were analysed with the mixed logit model, which is a random coefficient model that allows for a continuous distribution of the preferences (effects) for each feature.
Balakrishnan [27] showed that several relations and identities that have been derived for order statistics from continuous distributions also hold for the discrete case.
A correction to the theoretical formula derived for a continuous distribution of vorticity due to the action of external forces is proposed.
The random mid-lake sample was similarly assigned to populations, to test for temporal continuous distribution.
We presented an alternative model to describe the development and evolution of gene transcription factors that allows for a continuous distribution of expression levels.
This also means that standard deviations reported in "Additional file 1" should be interpreted with care because they are not for a continuous distribution.
