Table 2: The common parameters used for all numerical simulations.
Par. Value Description Ref. Eq.

$\alpha$ 0.34 Slope of number counts (34)

$\chi_1$ 0.18 Average color $\langle H - K \rangle$ (34)

$\chi_2$ 0.82 Average color $\langle J - K \rangle$ (34)

C₁₁ 0.0078 Variance $\langle (H - K - \chi_1)^2 \rangle$ (34)

C₁₂ 0.0112 Covariance

$\langle (J - K - \chi_1) (H - K - \chi_2) \rangle$ (34)

C₂₂ 0.0375 Variance $\langle (J - K - \chi_2)^2 \rangle$ (34)

k₁ 0.112 Reddening law in K band (8)

k₂ 0.175 Reddening law in H band (8)

k₃ 0.282 Reddening law in J band (8)

$m^{\rm lim}_1$ 14.3 Limit magnitude in K band (20) and (27)

$m^{\rm lim}_2$ 14.9 Limit magnitude in H band (20) and (27)

$m^{\rm lim}_3$ 15.8 Limit magnitude in J band (20) and (27)

v₁ 0.05 Average photometric error

$\langle (\hat m_1 - m_1)^2 \rangle^{1/2}$ on K band (20)

v₂ 0.05 Average photometric error

$\langle (\hat m_2 - m_2)^2 \rangle^{1/2}$ on H band (20)

v₃ 0.05 Average photometric error

$\langle (\hat m_3 - m_3)^2 \rangle^{1/2}$ on J band (20)

**Table 2:** The common parameters used for all numerical simulations.
Par.	Value	Description	Ref. Eq.
$\alpha$	0.34	Slope of number counts	(34)
$\chi_1$	0.18	Average color $\langle H - K \rangle$	(34)
$\chi_2$	0.82	Average color $\langle J - K \rangle$	(34)
C₁₁	0.0078	Variance $\langle (H - K - \chi_1)^2 \rangle$	(34)
C₁₂	0.0112	Covariance
		$\langle (J - K - \chi_1) (H - K - \chi_2) \rangle$	(34)
C₂₂	0.0375	Variance $\langle (J - K - \chi_2)^2 \rangle$	(34)
k₁	0.112	Reddening law in K band	(8)
k₂	0.175	Reddening law in H band	(8)
k₃	0.282	Reddening law in J band	(8)
$m^{\rm lim}_1$	14.3	Limit magnitude in K band	(20) and (27)
$m^{\rm lim}_2$	14.9	Limit magnitude in H band	(20) and (27)
$m^{\rm lim}_3$	15.8	Limit magnitude in J band	(20) and (27)
v₁	0.05	Average photometric error
		$\langle (\hat m_1 - m_1)^2 \rangle^{1/2}$ on K band	(20)
v₂	0.05	Average photometric error
		$\langle (\hat m_2 - m_2)^2 \rangle^{1/2}$ on H band	(20)
v₃	0.05	Average photometric error
		$\langle (\hat m_3 - m_3)^2 \rangle^{1/2}$ on J band	(20)

Source LaTeX | All tables | In the text

	1 Introduction
	2 Basic relations
	3 Extinction measurements
	4 A maximum-likelihood approach
	5 Discussion and conclusions
	References
	Online Material
	Appendix A: The median and related estimators