pain_fedora6 wrote:n fails/minute = average number of failed flag captures per minute
Xeno do you think that the number of failed flag captures pm is Gaussian distributed? Then the average would be representative, but, i think we should replace it with a random variable, and you should think a bit more and prepare the stochastic differential equation giving the more realistic formulation of your corollary. If we then integrate it with a nice Ito integral (Ito as the map from Red Ishad ) from 0 to timelimit we will get the total - score provided that we get reasonable statistical data for the volatilies of each players playing style.
phd training... worthless... i should remove the title chemeng phd for nexeng...
The type of distribution is a function of the team which is an independent variable and not predictable outside of a detailed analysis involving a profound application of chaos theory. This is irrelevant however because this calculation is not a predictive model for the set of all games but rather a descriptive model of a given single game, which thus eliminates the intricacies that you describe in your reply. While the distribution of fails per unit time may not conform to any standard model, the previous statement remains valid within its intended scope and provides a qualitative insight to the consequences of poorly chosen player strategies. Furthermore, this model fits our empirical data remarkably well, as well as that of others (Dave et al., 2008, esteel & divVerent, 2007).
If you are able to advance an alternative hypothesis capable of refuting this one, my colleagues and I would be very interested to review it.