Weak convergence of convex stochastic processes

Statistics and Probability Letters

Volumn 37, Issue 2, 1998, Pages 171-182

  Arcones, Miguel A ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Convex functions; Empirical processes; Stochastic processes

Indexed keywords

EID: 0032519223     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00115-6     Document Type: Article

References (9)

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3. Arcones, M.A., 1995. Weak convergence of the row sums of empirical processes. Proc. High Dimensional Probab., to appear.
4. Dudley, R.M., 1985. An extended Wichura theorem, definitions of Donsker class and weighted empirical distributions. Lecture Notes in Mathematics, Vol. 1153. Springer, New York, 141-178.
5. Giné, K., Zinn, J., 1986. Lectures on the central limit theorem for empirical processes. Lecture Notes in Mathematics, vol. 1221. Springer, New York, pp. 50-112.
6. Hoffmann-Jørgensen, J., 1991. Stochastic Processes on Polish Spaces. Aarhus Univ. Mat. Inst. Various Publications Series, No. 39, Aarhus, Denmark.
7. Ledoux, M., Talagrand, M., 1991. Probability in Banach Spaces. Springer, New York.
8. Pollard, D., 1991. Asymptotics for least absolute deviation regression estimators. Econom. Theor. 7, 186-199.
9. Rockafellar, R.T., 1970. Convex Analysis. Princeton University Press, Princeton, NJ.