It is well-known that maximum likelihood (ML) estimation of the autoregressive parameter of a dynamic panel data model with ﬁxed eﬀects is inconsistent under ﬁxed time series sample size ( T ) and large cross section sample size ( N ) asymptotics. The estimation bias is particularly relevant in practical applications when T is small and the autoregressive parameter is close to unity. The present paper proposes a general, computationally inexpensive method of bias reduction that is based on indirect inference (Gouriéroux et al., 1993), shows unbiasedness and analyzes eﬀiciency. The method is implemented in a simple linear dynamic panel model, but has wider applicability and can, for instance, be easily extended to more complicated frameworks such as nonlinear models. Monte Carlo studies show that the proposed procedure achieves substantial bias reductions with only mild increases in variance, thereby substantially reducing root mean square errors. The method is compared with certain consistent estimators and bias-corrected ML estimators previously proposed in the literature and is shown to have superior ﬁnite sample properties to GMM and the bias-corrected ML of Hahn and Kuersteiner (2002). Finite sample performance is compared with that of a recent estimator proposed by Han and Phillips (2005).
Gouriéroux, Christian; Phillips, Peter C.B.; and Yu, Jun, "Indirect Inference for Dynamic Panel Models" (2006). Cowles Foundation Discussion Papers. 1838.