Geodesic
On approximation of the sample by a~Poisson point process
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 111-125

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It is shown that the results obtained earlier for the rate of approximation of convolutions of probability distributions by accompanying infinitely divisible laws may be interpreted as estimates of the rate of approximation of the sample by a Poisson point process. The most interesting results are obtained for a scheme of rare events. 
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     author = {A. Yu. Zaitsev},
     title = {On approximation of the sample by {a~Poisson} point process},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {111--125},
     publisher = {mathdoc},
     volume = {298},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a5/}
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A. Yu. Zaitsev. On approximation of the sample by a~Poisson point process. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 111-125. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a5/