Interdependence among mental health care providers: evidence from a spatial dynamic panel data model with interactive fixed effects

Author(s):  
Xu Lin ◽  
Lizi Wu
2010 ◽  
Vol 26 (5) ◽  
pp. 1332-1362 ◽  
Author(s):  
Jihai Yu ◽  
Lung-fei Lee

This paper examines the asymptotics of the QMLE for unit root dynamic panel data models with spatial effect and fixed effects. We consider a unit root dynamic panel data model with spatially correlated disturbances and a unit root spatial dynamic panel data model. For both models the estimate of the dynamic coefficient is $\root \of {nT^3 }$ consistent and the estimates of other parameters are $\root \of {nT}$ consistent, and all of them are asymptotically normal. For the latter model the sum of the contemporaneous spatial effect and dynamic spatial effect converges at $\root \of {nT^3 }$ rate. We also propose a bias-correction procedure so that the asymptotic biases of those estimates are eliminated as long as n/T3 → 0.


2020 ◽  
Vol 117 (10) ◽  
pp. 5235-5241 ◽  
Author(s):  
Baisuo Jin ◽  
Yuehua Wu ◽  
Calyampudi Radhakrishna Rao ◽  
Li Hou

Commonly used methods for estimating parameters of a spatial dynamic panel data model include the two-stage least squares, quasi-maximum likelihood, and generalized moments. In this paper, we present an approach that uses the eigenvalues and eigenvectors of a spatial weight matrix to directly construct consistent least-squares estimators of parameters of a general spatial dynamic panel data model. The proposed methodology is conceptually simple and efficient and can be easily implemented. We show that the proposed parameter estimators are consistent and asymptotically normally distributed under mild conditions. We demonstrate the superior performance of our approach via extensive simulation studies. We also provide a real data example.


2009 ◽  
Vol 26 (2) ◽  
pp. 564-597 ◽  
Author(s):  
Lung-fei Lee ◽  
Jihai Yu

This paper establishes asymptotic properties of quasi-maximum likelihood estimators for spatial dynamic panel data with both time and individual fixed effects when the number of individuals n and the number of time periods T can be large. We propose a data transformation approach to eliminate the time effects. When n / T → 0, the estimators are $\root \of {nT}$ consistent and asymptotically centered normal; when n is asymptotically proportional to T, they are $\root \of {nT}$ consistent and asymptotically normal, but the limit distribution is not centered around 0; when n / T → ∞, the estimators are consistent with rate T and have a degenerate limit distribution. We also propose a bias correction for our estimators. When n1/3 / T → 0, the correction will asymptotically eliminate the bias and yield a centered confidence interval. The estimates from the transformation approach can be consistent when n is a fixed finite number.


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