Central Limit Theorems and Uniform Laws of Large Numbers for Arrays of Random Fields
Nazgul Jenish and Ingmar Prucha ,
( 150 )
Journal of Econometrics

Over the last decades, spatial-interaction models have been increasingly used in economics. However, the development of a sufficiently general asymptotic theory for nonlinear spatial models has been hampered by a lack of relevant central limit theorems (CLTs), uniform laws of large numbers (ULLNs) and pointwise laws of large numbers (LLNs). These limit theorems form the essential building blocks towards developing the asymptotic theory of M-estimators, including maximum likelihood and generalized method of moments estimators.

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