Geodesic
On sequences of points for the evaluation of improper integrals by quasi-Monte Carlo methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 3, pp. 411-415 
D. I. Asotskii; I. M. Sobol'. On sequences of points for the evaluation of improper integrals by quasi-Monte Carlo methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 3, pp. 411-415. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_3_a5/
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     title = {On sequences of points for the evaluation of improper integrals by {quasi-Monte} {Carlo} methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An integral of any bounded integrable function in an $n$-dimensional unit cube can be evaluated using the quasi-Monte Carlo method. However, if the integrand is unbounded at the origin, the integration points must not be very close to the singularity. The rate of approach of quasi-random points to the origin is numerically evaluated.

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