I have a data of 74 countries and 15 time periods and want to estimate a dynamic panel model like
$$Y_{i,t} = Y_{i,t-1} + Z_{i,t} + a_i + e_i$$
where $a_i$ is unobserved heterogeneity.
The main aim of my estimation is to compute this fixed effects and then to explain the differences in fixed effects by institutional factors.
So I have read a lot about dynamic panel estimation and the literature suggests that if there is lagged dependent variable and the time periods are small the estimates are biased when using fixed effects estimation, one solution is Arellano-Bond estimation but it uses differenced data!
My question is "Can I recover fixed effects after estimating the equation by Arrellano-Bond technique?"