Generalized zero-one laws for large-order statistics
Wang, Hong
Bernoulli, Tome 3 (1997) no. 3, p. 429-444 / Harvested from Project Euclid
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For a fixed integer [math] , let [math] be the [math] th largest of [math] , where [math] is a sequence of i.i.d. random variables with the common distribution fuction [math] . We prove that [math] i.o.}= [math] or [math] accordingly as the series [math] or [math] for any real sequence [math] such that [math] . This weakens the condition added on the sequence [math] by Wang and Tomkins and generalizes the results of Klass to the case when [math] .
Publié le : 1997-12-14
Classification:  i.i.d. random variables,  large-order statistics,  zero-one law 
@article{1175882217,
     author = {Wang, Hong},
     title = {Generalized zero-one laws for large-order statistics},
     journal = {Bernoulli},
     volume = {3},
     number = {3},
     year = {1997},
     pages = { 429-444},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175882217}
}

Wang, Hong. Generalized zero-one laws for large-order statistics. Bernoulli, Tome 3 (1997) no. 3, pp.  429-444. http://gdmltest.u-ga.fr/item/1175882217/