A supplement to “Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Au- toregressive Models” (for reference only; not for publication) Appendix A: Some Useful Lemmas A.1 Uniform Boundedness of Matrices in Row and Column Sums

@inproceedings{AST,
  title={A supplement to “Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Au- toregressive Models” (for reference only; not for publication) Appendix A: Some Useful Lemmas A.1 Uniform Boundedness of Matrices in Row and Column Sums},
  author={}
}
    Lemma A.1 Suppose that the spatial weights matrix Wn is a non-negative matrix with its (i, j)th element being wn,ij = dij ∑ n l=1 dil and dij ≥ 0 for all i, j. (1) If the row sums ∑n j=1 dij are bounded away from zero at the rate hn uniformly in i, and the column sums ∑n i=1 dij are O(hn) uniformly in j, then {Wn} are uniformly bounded in column sums. (2) If dij = dji for all i and j and the row sums ∑n j=1 dij are O(hn) and bounded away from zero at the rate hn uniformly in i, then {Wn} are… CONTINUE READING