RDP 2014-09: Predicting Dwelling Prices with Consideration of the Sales Mechanism Equation

\begin{matrix} g_{j}^{*} = {\begin{matrix} - (g_{j + 1} + \dots + g_{n}) & for j = 0, 1, \dots, n - 2 \\ g_{n} & for j = n - 1 \end{matrix} \\ g_{n - 1}^{*} (L) \equiv \sum_{j = 0}^{n - 1} g_{j}^{*} L^{j} \\ g_{n} (L) \equiv 1 - {\tilde{g}}_{n} (L) \\ {\tilde{g}}_{n} (L) \equiv \sum_{j = 1}^{n} g_{j} L^{j} \end{matrix}