[ai-geostats] Re: Correlogram estimate

2004-12-18 Thread Isobel Clark
Jack

I find Edzer notation confusing, since evryone I know
uses C0 for the bugget effect not the total sill of
the semi-variogram model.

The correlogram relationship is a theoretical one but
should hold provided the paricular gamma(h) is
calculated using all the same samples at the total
sill. According to Noel Cressie (Statistics for
Spatial Data) the Cauchy Schwartz inequality should
hold for every point on the calculated semi-variogram
subject to all samples being used at the lag.

You are probably getting greater than 1 because of
clustered sampling (?) or non-Normality in your data.

Isobel



 --- jack webster [EMAIL PROTECTED] wrote: 
 Hi
 Thank you, for replying, but as you know the
 theorical
 relation between variogram and correlogram
 r(h) = (C0-gamma(h))/C0 does not holds for
 estimates!
 I compute correlogrm with 
   r^(h) = (C0^-gamma^(h))/C0^
 (^ = estimate notation)
 but in some lags r^(h) was grater than 1 !!
 
 Sincelely: webster
 ===
 --- Edzer J. Pebesma [EMAIL PROTECTED] wrote:
 
  jack webster wrote:
  
  hello,
  I need a good estimator for the Correlogram,
 under
  2nd
  stationary condition, and a SPLUS program for
  computing it (if there is).
  Sincerely: Webster
  

  
  Jack, you can use the S-Plus function acf() to
  compute
  autocorrelations from one-dimensional data. As
  you're
  on this list, you probably want it for 2-D or 3-D.
  For those
  data you can compute variograms.
  
  In S-Plus, library gstat (free; www.gstat.org) or
  the S-Plus
  SpatialStats module (commercial) are available for
  computing sample variograms and modelling
 variogram
  functions.
  
  The correlogram can be computed from a variogram
 by
  
  r(h) = (C0-gamma(h))/C0
  
  with C0 the sill of the variogram and gamma(h) the
  semivariance (model) value.
  --
  Edzer
  
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Re: [ai-geostats] Re: Correlogram estimate

2004-12-18 Thread Edzer J. Pebesma

Isobel Clark wrote:
Jack
I find Edzer notation confusing, since evryone I know
uses C0 for the bugget effect not the total sill of
the semi-variogram model.
You are right, Isobel; I should have written C(0) to
denote the sill variance, where the covariogram is written
as C(h).
--
Edzer
PS -- what was that bugget? :-)
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Re: [ai-geostats] Re: Correlogram estimate

2004-12-18 Thread Isobel Clark
 Edzer
 
 PS -- what was that bugget? :-)
Sorry, keyboard a bit congested ;-)

nugget effect C0, total sill C(0)!

Isobel

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