Olumide
   
  I would think what they mean is that each order of polynomial has to be 
balanced between the 'drift' at the actual estimated point and the weighted 
average of the samples which proovides the estimator. For this you have to 
introduce an extra lamda and an extra equation on the kriging system which 
guarantees the unbiassedness of the estimate.
   
  At least, that is what happens in Universal Kriging. What is "annihilated" is 
any possible bias due to the order k. 
   
  I do not know why lamda is referred to as a "discrete measure".
   
  Isobel
  http://www.kriging.com/courses

Olumide <[EMAIL PROTECTED]> wrote:
  Hello -

I've made some progress understanding what intrinsic random functions 
are, and what increments are in that regard. The next question that's 
still puzzling me is the question of what the discrete measure lambda 
and the annihilation of polynomials.

Quote from "Geostatistics Modeling Uncertainty" by Chiles and Delfiner 
page 238:

"Definition: a discrete measure lambda is allowable at the order k if it 
annihilates polynomials of degree less than or equal to k"

Questions:
1. what does it mean for lambda to annihilate a polynomial
2. why the need to annihilate those "poor" polynomials (what have they 
done wrong? ;-) )

Thanks,

- Olumide
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