Table 4: Same as Table 2 after adopting a thick disk velocity distribution convolved with the observation errors.
Confid.
$\psi (V_{\alpha },V_{\delta })$ $h(V_{\alpha },V_{\delta })$ $t(V_{\alpha },V_{\delta }\vert r)$

level WDs $\rho_{\rm WD}$ ( $M_{\odot}$ pc^-3) WDs $\rho_{\rm WD}$ ( $M_{\odot}$ pc^-3) WDs $\rho_{\rm WD}$ ( $M_{\odot}$ pc^-3)

99%
14 $(1.2\pm 0.5)\times10^{-5}$ 8 $(0.7\pm 0.4)\times10^{-5}$ 5 $(0.6\pm0.4)\times10^{-5}$

95% 18 $(1.7\pm 0.6)\times10^{-5}$ 14 $(1.2\pm 0.5)\times10^{-5}$ 9 $(1.0 \pm0.5)\times10^{-5}$

**Table 4:** Same as Table 2 after adopting a thick disk velocity distribution convolved with the observation errors.
Confid.	$\psi (V_{\alpha },V_{\delta })$	$h(V_{\alpha },V_{\delta })$	$t(V_{\alpha },V_{\delta }\vert r)$
level	WDs	$\rho_{\rm WD}$ ( $M_{\odot}$ pc^-3)	WDs	$\rho_{\rm WD}$ ( $M_{\odot}$ pc^-3)	WDs	$\rho_{\rm WD}$ ( $M_{\odot}$ pc^-3)
99%	14	$(1.2\pm 0.5)\times10^{-5}$	8	$(0.7\pm 0.4)\times10^{-5}$	5	$(0.6\pm0.4)\times10^{-5}$
95%	18	$(1.7\pm 0.6)\times10^{-5}$	14	$(1.2\pm 0.5)\times10^{-5}$	9	$(1.0 \pm0.5)\times10^{-5}$

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