Flexible and efficient estimating equations for variogram estimation

Ying Sun, Xiaohui Chang, Yongtao Guan

Research output: Contribution to journalArticle

Abstract

Variogram estimation plays a vastly important role in spatial modeling. Different methods for variogram estimation can be largely classified into least squares methods and likelihood based methods. A general framework to estimate the variogram through a set of estimating equations is proposed. This approach serves as an alternative approach to likelihood based methods and includes commonly used least squares approaches as its special cases. The proposed method is highly efficient as a low dimensional representation of the weight matrix is employed. The statistical efficiency of various estimators is explored and the lag effect is examined. An application to a hydrology data set is also presented.

Original languageEnglish (US)
Pages (from-to)45-58
Number of pages14
JournalComputational Statistics and Data Analysis
Volume122
DOIs
StatePublished - Jun 2018

Keywords

  • Estimating equations
  • Lag effect
  • Low rank approximation
  • Statistical efficiency

ASJC Scopus subject areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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