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The standard type of equation I've seen for the Arellano-Bond is y_it = r* y_it-1 + B*x_it + e_it. The endogenous variable y is a function of y at previous times, x at the current time, and an idiosyncratic error term.

I would like to specify a model where y is a function of y at previous times, x at previous times, and an error term. The change is that lags of x, rather than the contemporary value of x, affects y.

Is the Arellano-Bond model still appropriate for this case? If so, does this change the moment conditions?

Thanks in advance for help with a difficult question I am struggling with.

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