Two Conditional Limit Theorems with Applications
Holst, Lars
Ann. Statist., Tome 7 (1979) no. 1, p. 551-557 / Harvested from Project Euclid
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Let $(X_1, Y_1),\cdots, (X_N, Y_N)$ be i.i.d. rv's where the $X$'s are nonnegative integer-valued. Conditional on $\sigma X_k$ the asymptotic distribution of $\sigma Y_k$ and $\sigma a_k X_k$ are derived by general methods. Some applications are briefly discussed: sampling without replacement, the classical occupancy problem, the Wilcoxon statistic, the Poisson index of dispersion, testing geometric versus Poisson distribution.
Publié le : 1979-05-14
Classification:  Limit theorems,  occupancy problems,  sampling without replacement,  testing fit of Poisson distribution,  conditioning with sufficient statistics,  nonparametrics,  urn models,  62E20,  60F05 
@article{1176344676,
     author = {Holst, Lars},
     title = {Two Conditional Limit Theorems with Applications},
     journal = {Ann. Statist.},
     volume = {7},
     number = {1},
     year = {1979},
     pages = { 551-557},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176344676}
}

Holst, Lars. Two Conditional Limit Theorems with Applications. Ann. Statist., Tome 7 (1979) no. 1, pp.  551-557. http://gdmltest.u-ga.fr/item/1176344676/