Dear Karl,
Thanks for your reaction.
I think one could argue that a "sample" taken *on* the second
is most representative of an interval extending from half a
second prior to the sample time and half a second following the
sample time, […]
On the other hand, if there is some finite response response
time of your instrument (say, of order 1 sec), you could argue
that a sample taken at time t really represents an average over
some preceding interval, […]
I hadn't considered taking the sampling times as representatives of
lower-level intervals. That will often be the case. But I think that to
avoid having to know all details of the underlying data generation process,
we may assume for purposes of the bounds variable for the derived
statistics that the samples are instantaneous. (Feel free to correct me.)
Best,
Erik
--
https://ac.erikquaeghebeur.name
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