| Title:
|
On asymptotic behaviour of empirical processes (English) |
| Author:
|
Lachout, Petr |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
292-308 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60B10 |
| MSC:
|
60F17 |
| MSC:
|
62E10 |
| idZBL:
|
Zbl 0771.60004 |
| idMR:
|
MR1183621 |
| . |
| Date available:
|
2009-09-24T18:33:00Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124811 |
| . |
| Reference:
|
[1] P.J. Bickel, M.J. Wichura: Convergence criteria for multiparameter stochastic processes and some application.Ann. Math. Statist. 42 (1971), 1656-1670. MR 0383482 |
| Reference:
|
[2] P. Lachout: A martingale central limit theorem.Comment. Math. Univ. Carolinae 27 (1986), 2, 371-375. Zbl 0633.60038, MR 0857555 |
| Reference:
|
[3] P. Lachout: Billingsley-type tightness criteria for multiparameter stochastic processes.Kybernetika H (1988), 5, 363-371. Zbl 0665.60009, MR 0970213 |
| Reference:
|
[4] D. L. McLeish: Dependent central limit theorem and in variance principles.Ann. Probab. 2 (1974), 2, 620-628. MR 0358933 |
| Reference:
|
[5] S. M. Miller: Empirical processes based upon residuals from errorsin-variables regression.Ann. Statist. 17 (1989), 282-292. MR 0981450 |
| Reference:
|
[6] G. Neuhaus: On weak convergence of stochastic processes with multidimensional time parameter.Ann. Math. Statist. 42 (1971), 1285-1295. Zbl 0222.60013, MR 0293706 |
| Reference:
|
[7] S. Portnoy: Tightness of the sequence of empiric c.d.f. processes defined from regression fractiles.In: Robust and Nonlinear Time-Series Analysis (J. Franke, W. Händle and D. Martin, eds.), Springer- Verlag, New York - Berlin - Heidelberg 1983, pp. 231-246. MR 0786311 |
| Reference:
|
[8] M. L. Straf: A General Skorohod Space and Its Applications to the Weak Convergence of Stochastic Processes with Several Parameters.Ph.D. Dissertation, Univ. of Chicago 1969. |
| Reference:
|
[9] J. Štěpán: Probability Theory (in Czech).Academia, Prague 1987. |
| . |
