A simulation comparison of ordinary kriging with indicator kriging

Document Type : Original Scientific Paper

Author

Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎Alzahra University‎, ‎Tehran‎, ‎Iran

Abstract

Spatial data analysis methods have many applications in various fields‎, ‎such as agriculture‎, ‎mining engineering‎, ‎and meteorology‎. ‎In this study‎, ‎ordinary kriging and indicator kriging are considered to predict alumina grade in the Jajarm mine in Iran‎, ‎and the precision of the methods is computed‎. ‎A conditional simulation is carried out based on the data set for a more general comparison of ordinary and indicator kriging to interpolate Alumina grade in the mine‎. ‎In the case of monitoring possible variation related to sample size and type of variogram model‎, ‎simulations are performed with various sample sizes and different types of variogram models‎. ‎Then ordinary and indicator kriging methods are applied for every set of simulated data (concerning different sample sizes and types of variogram models)‎, ‎and root of standardized mean square error prediction is considered as a cross-validation criterion to compare the kriging methods‎. ‎The simulation results show that under the assumptions‎, ‎ordinary kriging has better performance than the indicator kriging method.

Keywords

Main Subjects