Introduction to Spatial Data and Variogram Estimation

Sourav Das
Abstract
An introduction to spatial data would be followed by description of variogram. But the main objective is to demonstrate two new weight functions as alternatives to the commonly used weight to be used in weighted least squares estimation of parameters of valid variogram functions, for a second order stationary spatial random process. We investigate the asymptotic convergence properties and the efficiencies of the corresponding parameter estimates. The theory is validated using simulations and real data analysis.