Wang, Wensheng Invariance principles for generalized domains of semistable attraction. (English) Zbl 1284.60091 Stochastic Processes Appl. 124, No. 1, 1-17 (2014). MSC: 60G50 60K40 60F17 PDF BibTeX XML Cite \textit{W. Wang}, Stochastic Processes Appl. 124, No. 1, 1--17 (2014; Zbl 1284.60091) Full Text: DOI
Zaitsev, A. Yu. The accuracy of strong Gaussian approximation for sums of independent random vectors. (English. Russian summary) Zbl 1287.60044 Russ. Math. Surv. 68, No. 4, 721-761 (2013); translation from Usp. Mat. Nauk 68, No. 4, 129-172 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60F17 60G50 PDF BibTeX XML Cite \textit{A. Yu. Zaitsev}, Russ. Math. Surv. 68, No. 4, 721--761 (2013; Zbl 1287.60044); translation from Usp. Mat. Nauk 68, No. 4, 129--172 (2013) Full Text: DOI
Fisher, Albert M.; Talet, Marina Dynamical attraction to stable processes. (English. French summary) Zbl 1246.37020 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 551-578 (2012). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37A50 60F17 60G18 60G52 PDF BibTeX XML Cite \textit{A. M. Fisher} and \textit{M. Talet}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 551--578 (2012; Zbl 1246.37020) Full Text: DOI Euclid
Zaitsev, A. Yu. Rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors. (English. Russian original) Zbl 1288.60039 J. Math. Sci., New York 163, No. 4, 399-408 (2009); translation from Zap. Nauchn. Semin. POMI 364, 148-165 (2009). MSC: 60F15 60F17 60G15 60G50 PDF BibTeX XML Cite \textit{A. Yu. Zaitsev}, J. Math. Sci., New York 163, No. 4, 399--408 (2009; Zbl 1288.60039); translation from Zap. Nauchn. Semin. POMI 364, 148--165 (2009) Full Text: DOI
Csörgő, M.; Szyszkowicz, B.; Wang, Q. On weighted approximations in \(D[0,1]\) with applications to self-normalized partial sum processes. (English) Zbl 1199.60161 Acta Math. Hung. 121, No. 4, 307-332 (2008). Reviewer: Marius Iosifescu (Bucharest) MSC: 60G50 60F17 60F25 62E20 PDF BibTeX XML Cite \textit{M. Csörgő} et al., Acta Math. Hung. 121, No. 4, 307--332 (2008; Zbl 1199.60161) Full Text: DOI
Horváth, Lajos; Kokoszka, Piotr; Steinebach, Josef On sequential detection of parameter changes in linear regression. (English) Zbl 1117.62079 Stat. Probab. Lett. 77, No. 9, 885-895 (2007). MSC: 62L10 62J05 60F17 PDF BibTeX XML Cite \textit{L. Horváth} et al., Stat. Probab. Lett. 77, No. 9, 885--895 (2007; Zbl 1117.62079) Full Text: DOI
Berkes, István The law of large numbers with exceptional sets. (English) Zbl 1002.60026 Stat. Probab. Lett. 55, No. 4, 431-438 (2001). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 60F15 60F05 PDF BibTeX XML Cite \textit{I. Berkes}, Stat. Probab. Lett. 55, No. 4, 431--438 (2001; Zbl 1002.60026) Full Text: DOI
Horváth, Lajos; Shao, Qi-Man Asymptotics for directed random walks in random environments. (English) Zbl 0834.60080 Acta Math. Hung. 68, No. 1-2, 21-36 (1995). Reviewer: P.Garbaczewski (Wrocław) MSC: 60G50 82B41 82C41 PDF BibTeX XML Cite \textit{L. Horváth} and \textit{Q.-M. Shao}, Acta Math. Hung. 68, No. 1--2, 21--36 (1995; Zbl 0834.60080) Full Text: DOI
Berger, Erich An almost sure invariance principle for stationary ergodic sequences of Banach space valued random variables. (English) Zbl 0695.60041 Probab. Theory Relat. Fields 84, No. 2, 161-201 (1990). Reviewer: C.C.Heyde MSC: 60F17 PDF BibTeX XML Cite \textit{E. Berger}, Probab. Theory Relat. Fields 84, No. 2, 161--201 (1990; Zbl 0695.60041) Full Text: DOI
Dabrowski, André Robert Extremal point processes and intermediate quantile functions. (English) Zbl 0673.60033 Probab. Theory Relat. Fields 85, No. 3, 365-386 (1990). Reviewer: A.R.Dabrowski MSC: 60F17 60G55 60G57 62G30 PDF BibTeX XML Cite \textit{A. R. Dabrowski}, Probab. Theory Relat. Fields 85, No. 3, 365--386 (1990; Zbl 0673.60033) Full Text: DOI
Steinebach, Josef Invariance principles for renewal processes when only moments of low order exist. (English) Zbl 0666.60034 J. Multivariate Anal. 26, No. 2, 169-183 (1988). Reviewer: K.Kubilius MSC: 60F17 60F05 60F15 60K05 62E20 PDF BibTeX XML Cite \textit{J. Steinebach}, J. Multivariate Anal. 26, No. 2, 169--183 (1988; Zbl 0666.60034) Full Text: DOI
Dabrowski, André Robert Strassen-type invariance principles for exchangeable sequences. (English) Zbl 0665.60039 Stat. Probab. Lett. 7, No. 1, 23-26 (1988). Reviewer: S.Spătaru MSC: 60G09 60F15 60F17 PDF BibTeX XML Cite \textit{A. R. Dabrowski}, Stat. Probab. Lett. 7, No. 1, 23--26 (1988; Zbl 0665.60039) Full Text: DOI
Maller, R. A. A functional law of the iterated logarithm for distributions in the domain of partial attraction of the normal distribution. (English) Zbl 0641.60036 Stochastic Processes Appl. 27, No. 2, 179-194 (1988). Reviewer: R.Norvaiša MSC: 60F17 PDF BibTeX XML Cite \textit{R. A. Maller}, Stochastic Processes Appl. 27, No. 2, 179--194 (1988; Zbl 0641.60036) Full Text: DOI
Einmahl, Uwe Strong approximations for partial sums of i.i.d. B-valued r.v.’s in the domain of attraction of a Gaussian law. (English) Zbl 0618.60010 Probab. Theory Relat. Fields 77, No. 1, 65-85 (1988). MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{U. Einmahl}, Probab. Theory Relat. Fields 77, No. 1, 65--85 (1988; Zbl 0618.60010) Full Text: DOI
Dabrowski, André Robert Invariance principles in probability for stable processes generated by a class of dependent sequences. (English) Zbl 0641.60037 Can. J. Stat. 15, No. 3, 253-267 (1987). Reviewer: C.C.Heyde MSC: 60F17 60B12 PDF BibTeX XML Cite \textit{A. R. Dabrowski}, Can. J. Stat. 15, 253--267 (1987; Zbl 0641.60037) Full Text: DOI
Philipp, Walter; Stout, William Invariance principles for martingales and sums of independent random variables. (English) Zbl 0601.60033 Math. Z. 192, 253-264 (1986). Reviewer: D.Szynal MSC: 60F17 PDF BibTeX XML Cite \textit{W. Philipp} and \textit{W. Stout}, Math. Z. 192, 253--264 (1986; Zbl 0601.60033) Full Text: DOI EuDML
Wittmann, Rainer A general law of iterated logarithm. (English) Zbl 0547.60036 Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 521-543 (1985). MSC: 60F10 60F15 60F05 PDF BibTeX XML Cite \textit{R. Wittmann}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 521--543 (1985; Zbl 0547.60036) Full Text: DOI
Dudley, R. M.; Philipp, Walter Invariance principles for sums of Banach space valued random elements and empirical processes. (English) Zbl 0488.60044 Z. Wahrscheinlichkeitstheor. Verw. Geb. 62, 509-552 (1983). MSC: 60F17 60F15 60B12 60F25 62G30 PDF BibTeX XML Cite \textit{R. M. Dudley} and \textit{W. Philipp}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 62, 509--552 (1983; Zbl 0488.60044) Full Text: DOI
Morrow, Gregory J. Approximation of rectangular sums of B-valued random variables. (English) Zbl 0477.60005 Z. Wahrscheinlichkeitstheor. Verw. Geb. 57, 265-291 (1981). MSC: 60B12 60F15 60G50 60F17 60G15 PDF BibTeX XML Cite \textit{G. J. Morrow}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 57, 265--291 (1981; Zbl 0477.60005) Full Text: DOI
Neaderhouser, Carla C. An almost sure invariance principle for partial sums associated with a random field. (English) Zbl 0453.60037 Stochastic Processes Appl. 11, 1-10 (1981). MSC: 60F15 60G60 60J65 82B05 PDF BibTeX XML Cite \textit{C. C. Neaderhouser}, Stochastic Processes Appl. 11, 1--10 (1981; Zbl 0453.60037) Full Text: DOI
Berkes, Istvan; Morrow, Gregory J. Strong invariance principles for mixing random fields. (English) Zbl 0443.60029 Z. Wahrscheinlichkeitstheor. Verw. Geb. 57, 15-37 (1981). MSC: 60F17 60G60 PDF BibTeX XML Cite \textit{I. Berkes} and \textit{G. J. Morrow}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 57, 15--37 (1981; Zbl 0443.60029) Full Text: DOI
Lapinskas, R. Approximation of partial sums in certain Banach spaces. (English) Zbl 0412.60011 Lith. Math. J. 18, 494-498 (1978). MSC: 60B12 60F05 PDF BibTeX XML Cite \textit{R. Lapinskas}, Lith. Math. J. 18, 494--498 (1978; Zbl 0412.60011) Full Text: DOI
Book, Stephen A.; Shore, Terence R. On large intervals in the Csörgö-Revesz theorem on increments of a Wiener process. (English) Zbl 0373.60041 Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 1-11 (1978). MSC: 60F15 60G15 60G17 60F10 PDF BibTeX XML Cite \textit{S. A. Book} and \textit{T. R. Shore}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 1--11 (1978; Zbl 0373.60041) Full Text: DOI
Csaki, E. On the lower limits of maxima and minima of Wiener process and partial sums. (English) Zbl 0372.60113 Z. Wahrscheinlichkeitstheor. Verw. Geb. 43, 205-221 (1978). MSC: 60J65 60F15 PDF BibTeX XML Cite \textit{E. Csaki}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 43, 205--221 (1978; Zbl 0372.60113) Full Text: DOI