Limit Theorems for a Triangular Scheme of $U$-Statistics with Applications to Inter-Point Distances
Jammalamadaka, S. Rao ; Janson, Svante
Ann. Probab., Tome 14 (1986) no. 4, p. 1347-1358 / Harvested from Project Euclid
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The asymptotic distribution of a "triangular" scheme of $U$-statistics is studied. Two limit theorems, applicable in different situations, are given. One theorem yields convergence to a normal distribution; the other includes Poisson limits and other limit laws. Applications to statistics based on small interpoint distances in a sample are given.
Publié le : 1986-10-14
Classification:  $U$-statistics,  triangular scheme,  multigraph,  limit laws,  infinitely divisible distributions,  inter-point distances,  60F05,  60E07,  62E20 
@article{1176992375,
     author = {Jammalamadaka, S. Rao and Janson, Svante},
     title = {Limit Theorems for a Triangular Scheme of $U$-Statistics with Applications to Inter-Point Distances},
     journal = {Ann. Probab.},
     volume = {14},
     number = {4},
     year = {1986},
     pages = { 1347-1358},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992375}
}

Jammalamadaka, S. Rao; Janson, Svante. Limit Theorems for a Triangular Scheme of $U$-Statistics with Applications to Inter-Point Distances. Ann. Probab., Tome 14 (1986) no. 4, pp.  1347-1358. http://gdmltest.u-ga.fr/item/1176992375/