The Mathematics of Record Progressions 08/13/2010
There is an area of applied mathematics that should be of interest to anyone interested in mesofacts: record progressions and extreme value theory. Record progressions are simply the series of successive records over time, for whatever is being measured. And extreme value value theory explores the probability distributions that describe the upper (and lower) end of a distribution, and are relevant for records over time. Not much related to examining records over time has been done recently, but in the 1970's and 1980's, this was a fertile area in probability. For example, there is research on how the times between new world records changes as the population size increases (a followup paper here) as well as research into the viability of predicting future performance. Anyone have any other favorite papers on world records they would like to share? Please feel free to mention them in the comments. CommentsLeave a Reply |
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