Theory of Probability and Mathematical Statistics 83, pp. 59-69.
ISSN/ISBN: Not available at this time. DOI: 10.1090/S0094-9000-2012-00841-7
Abstract: We prove results concerning the weak convergence to the uniform distribution on [0, 1] of sequences (Zn)n≥1 of the form Zn = Yn (mod 1)= {Yn}, where (Yn)n≥1 is a general sequence of real random variables. Applications are given: (i) to the case of partial sums of (i.i.d.) random variables having a distribution belonging to the domain of attraction of a stable law; (ii) to the case of sample maxima of i.i.d random variables.
Bibtex:
@article{,
AUTHOR = {Rita Giuliano},
YEAR = {2011},
JOURNAL = {Theor. Probability and Math. Statist.},
VOLUME = {83},
PAGES = {59--69},
DOI = {10.1090/S0094-9000-2012-00841-7 },
URL = {http://www.ams.org/journals/tpms/2011-83-00/S0094-9000-2012-00841-7/S0094-9000-2012-00841-7.pdf},
}
Reference Type: Journal Article
Subject Area(s): Probability Theory