Open AccessConvergence faible de la {$U$}-statistique empirique corrigée en condition de mélange
Author(s) -
Michel Harel,
Bouameur Ragbi
Publication year - 1996
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1105540760
Subject(s) - convergence (economics) , humanities , mathematics , philosophy , economics , economic growth
In this paper, the weak convergence of weighted empirical U-statistic with respect to the Skorohod topology is obtained when the random variables are absolutely regular. It is a generalization of the results of Puri and Harel (1994) for dependent random variables and Ruymgaart and van Zuijlen (1992) for i.i.d. random variables. Applications are given in section 5.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom