Stein's Method for Compound Poisson Approximation: The Local Approach
Roos, Malgorzata
Ann. Appl. Probab., Tome 4 (1994) no. 4, p. 1177-1187 / Harvested from Project Euclid
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In the present paper, compound Poisson approximation by Stein's method is considered. A general theorem analogous to the local approach for Poisson approximation is proved. It is then applied to a reliability problem involving the number of isolated vertices in the rectangular lattice on the torus.
Publié le : 1994-11-14
Classification:  Stein-Chen method,  compound Poisson distribution,  rate of convergence,  reliability theory,  isolated vertices,  $k$-out-of-$n$,  rectangular lattice,  05C90,  60C05,  60F05,  90B25 
@article{1177004910,
     author = {Roos, Malgorzata},
     title = {Stein's Method for Compound Poisson Approximation: The Local Approach},
     journal = {Ann. Appl. Probab.},
     volume = {4},
     number = {4},
     year = {1994},
     pages = { 1177-1187},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177004910}
}

Roos, Malgorzata. Stein's Method for Compound Poisson Approximation: The Local Approach. Ann. Appl. Probab., Tome 4 (1994) no. 4, pp.  1177-1187. http://gdmltest.u-ga.fr/item/1177004910/