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On the empirical process of multivariate, dependent random variables. (English) Zbl 0292.60010


MSC:

60B10 Convergence of probability measures
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[1] Bickel, P. J.; Wichura, M. J., Convergence criteria for multiparameter stochastic processes and some applications, Ann. Math. Statist., 42, 1656-1670 (1971) · Zbl 0265.60011
[2] Billingsley, P., (Convergence of Probability Measures (1968), Wiley: Wiley New York) · Zbl 0172.21201
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[9] Pyke, R.; Shorack, G. R., Weak convergence of a two sample empirical process and a new approach to Chernoff-Savage theorems, Ann. Math. Statist., 39, 755-771 (1968) · Zbl 0159.48004
[10] Sen, P. K., Limiting behaviour of regular functionals of empirical distributions for stationary ∗-mixing processes, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 25, 71-82 (1972) · Zbl 0238.62097
[11] Sen, P. K., A note on weak convergence of empirical processes for sequences of ϕ-mixing random variables, Ann. Math. Statist., 42, 2131-2134 (1971) · Zbl 0226.60008
[12] Sen, P. K., Weak convergence of multidimensional empirical processes for stationary ϕ-mixing processes, Ann. Prob., 2, 147-154 (1974) · Zbl 0276.60030
[13] Shorack, G., Convergence of reduced empirical and quantilprocesses with applications to functions of order statistics in the non i.i.d. case, Ann. Statist., 1, 146-152 (1973) · Zbl 0255.62044
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