English

A Note on Spatial-Temporal Lattice Modeling and Maximum Likelihood Estimation

Statistics Theory 2012-07-27 v1 Statistics Theory

Abstract

Spatial-temporal linear model and the corresponding likelihood-based statistical inference are important tools for the analysis of spatial-temporal lattice data. In this paper, we study the asymptotic properties of maximum likelihood estimates under a general asymptotic framework for spatial-temporal linear models. We propose mild regularity conditions on the spatial-temporal weight matrices and derive the asymptotic properties (consistency and asymptotic normality) of maximum likelihood estimates. A simulation study is conducted to examine the finite-sample properties of the maximum likelihood estimates.

Keywords

Cite

@article{arxiv.1207.6363,
  title  = {A Note on Spatial-Temporal Lattice Modeling and Maximum Likelihood Estimation},
  author = {Xiang Zhang and Yanbing Zheng},
  journal= {arXiv preprint arXiv:1207.6363},
  year   = {2012}
}

Comments

24 pages, 3 tables

R2 v1 2026-06-21T21:42:11.514Z