| Title:
|
Invariance principles in $L^2 [0,1]$ (English) |
| Author:
|
Oliveira, Paulo Eduardo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
357-366 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60F17 |
| MSC:
|
60F25 |
| idZBL:
|
Zbl 0711.60029 |
| idMR:
|
MR1077906 |
| . |
| Date available:
|
2008-06-05T21:44:11Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106865 |
| . |
| Reference:
|
[1] Aronszajan N.: The theory of reproducing kernels.Trans. Amer. Math. Soc. 68 (1950), 337-404. MR 0051437 |
| Reference:
|
[2] Berlinet A.: Espaces autoreproduisants et mesure empirique..Méthodes splines en estimation fonctionnde, These de 3 -$^{ème}$ cycle, Lille, 1980. Zbl 0436.60011 |
| Reference:
|
[3] Billingsley P.: Convergence of Probability Measures.John Wiley & Sons, 1968. Zbl 0172.21201, MR 0233396 |
| Reference:
|
[4] Herrndorf N.: The invariance principle for $\varphi$-mixing sequences.no 1, Z. Wahrsch. verw. Gebiete 63 (1983), 97-108. MR 0699789 |
| Reference:
|
[5] Herrndorf N.: A functional central limit theorem for weakly dependent sequences of random variables.no 1, Ann. Probab. 12 (1984), 141-153. Zbl 0536.60030, MR 0723735 |
| Reference:
|
[6] Hida T.: Brownian Motion.Springer-Verlag, 1980. Zbl 0432.60002, MR 0562914 |
| Reference:
|
[7] Ibragimov I. A.: Some limit theorems for stationary processes.Theory Probab. Appl. 7 (1962), 349-382. Zbl 0119.14204, MR 0148125 |
| Reference:
|
[8] Mason D.: Weak convergence of the weighted empirical quantile process in $L^2[0,1]$.no 1, Ann. Probab. 12 (1984), 243-255. MR 0723743 |
| Reference:
|
[9] Mori T., Yoshihara K. I.: A note on the central limit theorem for the stationary strongmixing sequences.Yokohama Math. J. 34 (1986), 143-146. MR 0886062 |
| Reference:
|
[10] Parthasarathy K. R.: Probability Measures on Metric Spaces.Academic Press, 1967. Zbl 0153.19101, MR 0226684 |
| Reference:
|
[11] Peligrad M.: An invariance principle for dependent random variables.no 4, Z. Wahrsch. verw. Gebiete 57 (1981), 495-507. Zbl 0485.60032, MR 0631373 |
| Reference:
|
[12] Phillip W.: The central limit problem for mixing sequences of random variables.Z. Wahrsch. verw. Gebiete 12 (1969), 155-171. MR 0246356 |
| Reference:
|
[13] Suquet C.: Espaces autoreproduisants et mesures aléatoires.Thése de 3-$^{ème}$ cycle, Lille, 1986. |
| Reference:
|
[14] Volný D.: A central limit theorem for non stationary mixing processes.no 2, Comment. Math. Univ. Carolinae 30 (1989), 405-407. MR 1014142 |
| Reference:
|
[15] Withers C. S.: Central limit theorems for dependent variables I.Z. Wahrsch. verw. Gebiete, 57 (1981), n°-4, 509-534; Zbl 0451.60027, MR 0631374 |
| Reference:
|
[15b] Withers C. S.: Corrigendum to Central limit theorems for dependent variables I.Z. Wahrsch. verw. Gebiete, 63 (1983), 555. Zbl 0513.60034, MR 0705626 |
| . |
