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. Author manuscript; available in PMC: 2016 Apr 1.

Published in final edited form as: Ann Appl Stat. 2016 Mar 25;10(1):395–417. doi: 10.1214/15-aoas898

	Acquisition	Importation ( $g_{j}^{*} \neq j$ )	Importation ( $g_{j}^{*} = j$ )
Acquisition	$\frac{C (t_{j}^{c *})}{C (t_{j}^{c})}$	$\frac{∣ Y ext (t_{j}^{a}) ∣ (1 - w)}{w w^{'} (l_{j} - t_{j}^{a} + 1) C (t_{j}^{c})}$	$\frac{1 - w}{w (1 - w^{'}) (l_{j} - t_{j}^{a} + 1) C (t_{j}^{c})}$
Importation (g_j ≠ j)	$\frac{w w^{'} (l_{j} - t_{j}^{a} + 1) C (t_{j}^{c *})}{∣ Y_{ext} (t_{j}^{a}) ∣ (1 - w)}$	1	$\frac{w^{'}}{∣ Y_{ext} (t_{j}^{a}) ∣ (1 - w^{'})}$
Importation (g_j = j)	$\frac{w (1 - w^{'}) (l_{j} - t_{j}^{a} + 1) C (t_{j}^{c *})}{1 - w}$	$\frac{(1 - w^{'}) ∣ Y_{ext} (t_{j}^{a}) ∣}{w^{'}}$	1