## [ai-geostats] A new trick...

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• Dear All considering the relation (1) Gamma(h)=C(0)-C(h) and assuming the Schwartz inequality (2) |C(h)|
Message 1 of 1 , May 4 3:29 AM
Dear All
considering the relation
(1) Gamma(h)=C(0)-C(h)
and assuming the Schwartz inequality (2) |C(h)|<=C(0)
variogram is said to be limited to twice the a priori variance
In fact if we substitute (1) in (2)
-C(0)+Gamma(h)<=C(0) becomes Gamma(h)<=2C(0)
If Gamma is already half the variance, why it is limited to twice the a priori variance?....
Graphically it tends asimptotically just to the a priori variance and not twice this value!...
Maybe twice this value is the maximum limit of the possible oscillation around the a priori variance?
And...why most of books say "...factor '1/2' is a mathematical convention so that variogram tends to variance and not twice this value?....if factor '1/2' is ignored variogram tends to 4 times the a priori variance value!!!...
Someone helping me with such new trick?
Thanks
Simone

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Dr. Simone Sammartino
PhD student
- Geostatistical analyst
- G.I.S. mapping
I.A.M.C. - C.N.R.
Geomare-Sud section
Port of Naples - Naples
marenostrum@...
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