RE: Multi-precision (was...Please give me advice)
In support of this point, there was a recent book Guesstimation promoting the use of geometric mean; see also our paper where this book is cited (and the approach is mathematically justified)
O. Kosheleva and V. Kreinovich, "Guesstimation: A New Justification
of the Geometric Mean Heuristic", Applied Mathematical
Sciences, 2009, Vol. 3, No. 47, pp. 2335-2342.
http://www.cs.utep.edu/vladik/2009/tr09-10.pdf
-----Original Message-----
From: stds-1788@xxxxxxxx [mailto:stds-1788@xxxxxxxx] On Behalf Of Michel Hack
Sent: Friday, October 15, 2010 4:43 AM
To: stds-1788
Subject: Re: Multi-precision (was...Please give me advice)
When intervals are used to express ranges of values, the concept of a
midpoint frequently doesn't even make sense. Why should the arithmetic
mean of the endpoints be significant? In many applications (e.g. large
ranges of physical values) the geometric mean makes more sense.
Michel.
---Sent: 2010-10-15 10:59:52 UTC