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What is true is that world records only happen a few times a year during
championship meets yet swimmers do pretend races every day during training.
Moreover, records have a different statistical distribution compared with
the underlying time series, so the list above says nothing
about how the daily improvements would look for a typical top swimmer.
At this level of competition, all bodily
functions are controlled and training happens every day for most of the day
so there's plenty of scope for steady progress with tiny improvements of
the order of 1/100th second every couple of days, which add up to 1/10th
progress by the time that the next big race occurs.
However, I couldn't
find a time series supporting this with casual googling, and in truth I expect it's too
valuable to be found on the web.
At this level of competition, the swimmers are measured daily, and
all their bodily functions are controlled. A complete time series
of daily improvements is likely worth a small fortune.
Swimming coaches at this level of competitionare unlikely to give out daily timing progress
$E(X_t|F_s) = X_s,\quad t > s$
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