Table 4: Summary of the results obtained for the simulation of microlenses towards the LMC for the EROS experiment for an age of the halo of 14 Gyr, different model initial mass functions, and several magnitude cuts.
Standard AL

Magnitude 17.5 22.5 27.5 17.5 22.5 27.5

$\langle N_{\rm WD}\rangle$ $0\pm1$ $0\pm1$ $0\pm1$ $1\pm1$ $1\pm1$ $1\pm1$

$\langle m \rangle$ $(M/M_{\hbox{$\odot$ }})$ 0.385 0.384 0.427 0.633 0.637 0.637

$\langle\mu\rangle$ $(^{\prime\prime}~{\rm yr}^{-1})$ 0.020 0.013 0.009 0.028 0.022 0.011

$\langle d\rangle$ (kpc) 2.49 4.26 6.55 1.83 2.39 5.27

$\langle V_{\rm tan}\rangle$ $({\rm km~s}^{-1})$ 241 269 267 242 250 266

$\langle\hat{t}_{\rm E}\rangle$ (d) 38.3 45.0 54.7 42.6 50.0 75.6

$\langle \tau/\tau_0\rangle$ 0.558 0.695 0.163 0.839 0.628 0.488

**Table 4:** Summary of the results obtained for the simulation of microlenses towards the LMC for the EROS experiment for an age of the halo of 14 Gyr, different model initial mass functions, and several magnitude cuts.
	Standard	AL
Magnitude	17.5	22.5	27.5	17.5	22.5	27.5
$\langle N_{\rm WD}\rangle$	$0\pm1$	$0\pm1$	$0\pm1$	$1\pm1$	$1\pm1$	$1\pm1$
$\langle m \rangle$ $(M/M_{\hbox{$\odot$ }})$	0.385	0.384	0.427	0.633	0.637	0.637
$\langle\mu\rangle$ $(^{\prime\prime}~{\rm yr}^{-1})$	0.020	0.013	0.009	0.028	0.022	0.011
$\langle d\rangle$ (kpc)	2.49	4.26	6.55	1.83	2.39	5.27
$\langle V_{\rm tan}\rangle$ $({\rm km~s}^{-1})$	241	269	267	242	250	266
$\langle\hat{t}_{\rm E}\rangle$ (d)	38.3	45.0	54.7	42.6	50.0	75.6
$\langle \tau/\tau_0\rangle$	0.558	0.695	0.163	0.839	0.628	0.488

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