@article{MTMT:26291259, title = {A new proof of the Komlós-Révész-theorem}, url = {https://m2.mtmt.hu/api/publication/26291259}, author = {Trautner, R}, doi = {10.1007/BF01197885}, journal-iso = {PROBAB THEORY REL}, journal = {PROBABILITY THEORY AND RELATED FIELDS}, volume = {84}, unique-id = {26291259}, issn = {0178-8051}, year = {1990}, eissn = {1432-2064}, pages = {281-287} } @article{MTMT:1738262, title = {Exchangeable random variables and the subsequence principle}, url = {https://m2.mtmt.hu/api/publication/1738262}, author = {Berkes, István and Péter, Erika}, doi = {10.1007/BF00776240}, journal-iso = {PROBAB THEORY REL}, journal = {PROBABILITY THEORY AND RELATED FIELDS}, volume = {73}, unique-id = {1738262}, issn = {0178-8051}, abstract = {Call a sequence {X n } of r.v.'s ε-exchangeable if on the same probability space there exists an exchangeable sequence {Y n } such thatP(|X n −Y n |≧ε)≦ε for alln. We prove that any tight sequence {X n } defined on a rich enough probability space contains ε-exchangeable subsequences for every ε>0. The distribution of the approximating exchangeable sequences is also described in terms of {X n }. Our results give a convenient way to prove limit theorems for subsequences of general r.v. sequences. In particular, they provide a simplified way to prove the subsequence theorems of Aldous [1] and lead also to various extensions.}, year = {1986}, eissn = {1432-2064}, pages = {395-413} } @article{MTMT:25748824, title = {VARIANTS ON THE LAW OF THE ITERATED LOGARITHM}, url = {https://m2.mtmt.hu/api/publication/25748824}, author = {BINGHAM, NH}, doi = {10.1112/blms/18.5.433}, journal-iso = {B LOND MATH SOC}, journal = {BULLETIN OF THE LONDON MATHEMATICAL SOCIETY}, volume = {18}, unique-id = {25748824}, issn = {0024-6093}, year = {1986}, eissn = {1469-2120}, pages = {432-467} } @article{MTMT:26119074, title = {Limit theorems for subsequences of arbitrarily-dependent sequences of random variables}, url = {https://m2.mtmt.hu/api/publication/26119074}, author = {Aldous, DJ}, doi = {10.1007/BF00535707}, journal-iso = {Z WAHRSC VERW GEBIETE}, journal = {ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE}, volume = {40}, unique-id = {26119074}, issn = {0044-3719}, year = {1977}, pages = {59-82} }