Development of the kriging method with application

Pavel Krejčíř

Applications of Mathematics (2002)

  • Volume: 47, Issue: 3, page 217-230
  • ISSN: 0862-7940

Abstract

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This paper describes a modification of the kriging method for working with the square root transformation of a spatial random process. We have developed this method for the situation where the spatial process observed is not supposed to be stationary but the assumption is that its square root is a second order stationary spatial random process. Consequently this method is developed for estimating the integral of the process observed and finally some application of the method is given to data from an environmental radioactivity survey.

How to cite

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Krejčíř, Pavel. "Development of the kriging method with application." Applications of Mathematics 47.3 (2002): 217-230. <http://eudml.org/doc/33114>.

@article{Krejčíř2002,
abstract = {This paper describes a modification of the kriging method for working with the square root transformation of a spatial random process. We have developed this method for the situation where the spatial process observed is not supposed to be stationary but the assumption is that its square root is a second order stationary spatial random process. Consequently this method is developed for estimating the integral of the process observed and finally some application of the method is given to data from an environmental radioactivity survey.},
author = {Krejčíř, Pavel},
journal = {Applications of Mathematics},
keywords = {stochastic spatial process; second order stationarity; kriging; prediction; stochastic spatial process; second order stationarity; kriging; prediction},
language = {eng},
number = {3},
pages = {217-230},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Development of the kriging method with application},
url = {http://eudml.org/doc/33114},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Krejčíř, Pavel
TI - Development of the kriging method with application
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 3
SP - 217
EP - 230
AB - This paper describes a modification of the kriging method for working with the square root transformation of a spatial random process. We have developed this method for the situation where the spatial process observed is not supposed to be stationary but the assumption is that its square root is a second order stationary spatial random process. Consequently this method is developed for estimating the integral of the process observed and finally some application of the method is given to data from an environmental radioactivity survey.
LA - eng
KW - stochastic spatial process; second order stationarity; kriging; prediction; stochastic spatial process; second order stationarity; kriging; prediction
UR - http://eudml.org/doc/33114
ER -

References

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  1. 10.1007/BF02093905, Mathematical Geology 27 (1995), 641–658. (1995) DOI10.1007/BF02093905
  2. Statistic for Spatial Data, Wiley, New York, 1993. (1993) MR1239641
  3. Non-gaussian geostatistics, Research note, Lancaster University, Technical Report MA95 (1996). (1996) 
  4. Model-based geostatistics, J. Roy. Statist. Soc. Ser.  C 47 (1998), 199–350. (1998) MR1626544
  5. 10.1007/BF02093901, Mathematical Geology 27 (1995), 559–588. (1995) DOI10.1007/BF02093901
  6. The Theory and Applications of Spatial Statistics and Stochastic Geometry, PhD thesis, Charles University, Prague (2000). (2000) 
  7. Approximation Theorems of Mathematical Statistics, Wiley, New York, 1980. (1980) Zbl0538.62002MR0595165
  8. Predicting integrals of random fields using observation an a lattice, Ann. Statist. 23 (1995), 1975–1990. (1995) MR1389861

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