Račkauskas, Alfredas; Suquet, Charles Asymptotic normality in Banach spaces via Lindeberg method. (English) Zbl 1519.60004 J. Theor. Probab. 36, No. 1, 409-455 (2023). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60B10 60B12 60F05 PDFBibTeX XMLCite \textit{A. Račkauskas} and \textit{C. Suquet}, J. Theor. Probab. 36, No. 1, 409--455 (2023; Zbl 1519.60004) Full Text: DOI
Norvaiša, Rimas; Račkauskas, Alfredas Uniform asymptotic normality of self-normalized weighted sums of random variables. (English) Zbl 1448.60080 Lith. Math. J. 59, No. 4, 575-594 (2019). MSC: 60F17 60G57 PDFBibTeX XMLCite \textit{R. Norvaiša} and \textit{A. Račkauskas}, Lith. Math. J. 59, No. 4, 575--594 (2019; Zbl 1448.60080) Full Text: DOI
Characiejus, Vaidotas; Račkauskas, Alfredas The central limit theorem for a sequence of random processes with space-varying long memory. (English) Zbl 1273.60025 Lith. Math. J. 53, No. 2, 149-160 (2013). MSC: 60F05 60B12 PDFBibTeX XMLCite \textit{V. Characiejus} and \textit{A. Račkauskas}, Lith. Math. J. 53, No. 2, 149--160 (2013; Zbl 1273.60025) Full Text: DOI arXiv
Račkauskas, Alfredas; Suquet, Charles Functional central limit theorems for self-normalized partial sums of linear processes. (English) Zbl 1227.60029 Lith. Math. J. 51, No. 2, 251-259 (2011). MSC: 60F05 60F17 PDFBibTeX XMLCite \textit{A. Račkauskas} and \textit{C. Suquet}, Lith. Math. J. 51, No. 2, 251--259 (2011; Zbl 1227.60029) Full Text: DOI
Mikosch, Thomas; Račkauskas, Alfredas The limit distribution of the maximum increment of a random walk with regularly varying jump size distribution. (English) Zbl 1215.60018 Bernoulli 16, No. 4, 1016-1038 (2010). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F05 60G70 60G50 PDFBibTeX XMLCite \textit{T. Mikosch} and \textit{A. Račkauskas}, Bernoulli 16, No. 4, 1016--1038 (2010; Zbl 1215.60018) Full Text: DOI arXiv
Norvaiša, R.; Račkauskas, A. Convergence in law of partial sum processes in \(p\)-variation norm. (English) Zbl 1226.60039 Lith. Math. J. 48, No. 2, 212-227 (2008). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{R. Norvaiša} and \textit{A. Račkauskas}, Lith. Math. J. 48, No. 2, 212--227 (2008; Zbl 1226.60039) Full Text: DOI
Račkauskas, Alfredas; Suquet, Charles Invariance principles for adaptive self-normalized partial sums processes. (English) Zbl 1059.60043 Stochastic Processes Appl. 95, No. 1, 63-81 (2001). Reviewer: Petr Lachout (Praha) MSC: 60F17 60B11 60G50 PDFBibTeX XMLCite \textit{A. Račkauskas} and \textit{C. Suquet}, Stochastic Processes Appl. 95, No. 1, 63--81 (2001; Zbl 1059.60043) Full Text: DOI
Račkauskas, Alfredas; Suquet, Charles Central limit theorem in Hölder spaces. (English) Zbl 0985.60003 Probab. Math. Stat. 19, No. 1, 133-152 (1999). MSC: 60B12 60G17 60F05 PDFBibTeX XMLCite \textit{A. Račkauskas} and \textit{C. Suquet}, Probab. Math. Stat. 19, No. 1, 133--152 (1999; Zbl 0985.60003)
Račkauskas, A. Limit theorem for large deviations probabilities of certain forms. (English) Zbl 0927.60043 Lith. Math. J. 37, No. 4, 402-415 (1997) and Liet. Mat. Rink. 37, No. 4, 532-549 (1997). Reviewer: R.J.Tomkins (Regina) MSC: 60F10 60G42 60G15 60F05 PDFBibTeX XMLCite \textit{A. Račkauskas}, Lith. Math. J. 37, No. 4, 402--415 (1997; Zbl 0927.60043) Full Text: DOI
Račkauskas, A. On the conditional covariance condition in the martingale CLT. (English) Zbl 0847.60017 Lith. Math. J. 35, No. 1, 93-104 (1995) and Liet. Mat. Rink. 35, No. 1, 118-131 (1995). Reviewer: E.Häusler (Gießen) MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{A. Račkauskas}, Lith. Math. J. 35, No. 1, 93--104 (1995) and Liet. Mat. Rink. 35, No. 1, 118--131 (1995; Zbl 0847.60017) Full Text: DOI
Račkauskas, A. Large deviations for martingales with some applications. (English) Zbl 0826.60021 Acta Appl. Math. 38, No. 1, 109-129 (1995). MSC: 60F10 60G42 60F05 PDFBibTeX XMLCite \textit{A. Račkauskas}, Acta Appl. Math. 38, No. 1, 109--129 (1995; Zbl 0826.60021) Full Text: DOI
Račkauskas, A. J. On the martingale central limit theorem in Banach spaces. (English) Zbl 0674.60008 Probability theory on vector spaces IV, Proc. Conf., Łańcut/Poland 1987, Lect. Notes Math. 1391, 329-336 (1989). Reviewer: A.Dale MSC: 60B12 60F05 60G42 PDFBibTeX XML
Paulauskas, V.; Račkauskas, A. Approximation theory in the central limit theorem. Exact results in Banach spaces. Transl. from the Russian by B. Svecevičius and V. Paulauskas. (English) Zbl 0715.60023 Mathematics and Its Applications. Soviet Series 32. Dordrecht etc.: Kluwer Academic Publishers (ISBN 90-277-2825-9). xviii, 156 p. (1989). Reviewer: F.Götze MSC: 60F05 60-02 60B12 60F17 PDFBibTeX XMLCite \textit{V. Paulauskas} and \textit{A. Račkauskas}, Approximation theory in the central limit theorem. Exact results in Banach spaces. Transl. from the Russian by B. Svecevičius and V. Paulauskas. Dordrecht etc.: Kluwer Academic Publishers (1989; Zbl 0715.60023)
Bentkus, V. Yu.; Rachkauskas, A. Estimates of the distance between sums of independent random elements in Banach spaces. (English) Zbl 0554.60015 Theory Probab. Appl. 29, 50-65 (1985). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. Yu. Bentkus} and \textit{A. Rachkauskas}, Theory Probab. Appl. 29, 50--65 (1985; Zbl 0554.60015) Full Text: DOI
Bentkus, V.; Rachkauskas, A. Estimates of distances between sums of independent random elements in Banach spaces. (Russian. English summary) Zbl 0534.60008 Teor. Veroyatn. Primen. 29, No. 1, 49-64 (1984). Reviewer: V.Kvaratskhelia MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{A. Rachkauskas}, Teor. Veroyatn. Primen. 29, No. 1, 49--64 (1984; Zbl 0534.60008)
Paulauskas, V. I.; Rachkauskas, A.; Sakalauskas, V. Central limit theorem in the space of sequences converging to zero. (English. Russian original) Zbl 0524.60010 Lith. Math. J. 23, 87-97 (1983); translation from Litov. Mat. Sb. 23, No. 1, 163-174 (1983). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. I. Paulauskas} et al., Lith. Math. J. 23, 87--97 (1983; Zbl 0524.60010); translation from Litov. Mat. Sb. 23, No. 1, 163--174 (1983) Full Text: DOI
Bentkus, V.; Rachkauskas, A. Estimates of the rate of convergence of sums of independent random variables in a Banach space. II. (English. Russian original) Zbl 0522.60008 Lith. Math. J. 22, 344-353 (1983); translation from Litov. Mat. Sb. 22, No. 4, 8-20 (1982). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{A. Rachkauskas}, Lith. Math. J. 22, 344--353 (1982; Zbl 0522.60008); translation from Litov. Mat. Sb. 22, No. 4, 8--20 (1982) Full Text: DOI
Bentkus, V. Yu.; Rachkauskas, A. Estimates of the rate of approximation of independent random variables in a Banach space. I. (English. Russian original) Zbl 0522.60007 Lith. Math. J. 22, 222-234 (1983); translation from Litov. Mat. Sb. 22, No. 3, 12-28 (1982). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. Yu. Bentkus} and \textit{A. Rachkauskas}, Lith. Math. J. 22, 222--234 (1982; Zbl 0522.60007); translation from Litov. Mat. Sb. 22, No. 3, 12--28 (1982) Full Text: DOI
Bentkus, V.; Rachkauskas, A. Estimates of the rate of convergence in the central limit theorem in the Prohorov metric. (English. Russian original) Zbl 0521.60004 Sov. Math., Dokl. 25, 652-656 (1982); translation from Dokl. Akad. Nauk SSSR 264, 521-524 (1982). MSC: 60B12 60F05 41A25 60G50 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{A. Rachkauskas}, Sov. Math., Dokl. 25, 652--656 (1982; Zbl 0521.60004); translation from Dokl. Akad. Nauk SSSR 264, 521--524 (1982)
Bentkus, V.; Rachkauskas, A. Rate of convergence in the central limit theorem in infinite-dimensional spaces. (English) Zbl 0518.60008 Lith. Math. J. 21, 271-277 (1982). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{A. Rachkauskas}, Lith. Math. J. 21, 271--277 (1982; Zbl 0518.60008) Full Text: DOI
Rachkauskas, A.; Sakalauskas, V. Nonuniform estimate of rate of convergence to stable laws in certain Banach spaces. (English) Zbl 0501.60014 Lith. Math. J. 21, 363-368 (1982). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{A. Rachkauskas} and \textit{V. Sakalauskas}, Lith. Math. J. 21, 363--368 (1982; Zbl 0501.60014) Full Text: DOI
Bentkus, V.; Rachkauskas, A. The rate of convergence in the central limit theorem in infinite- dimensional spaces. (Russian) Zbl 0493.60009 Litov. Mat. Sb. 21, No. 4, 9-18 (1981). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{A. Rachkauskas}, Litov. Mat. Sb. 21, No. 4, 9--18 (1981; Zbl 0493.60009)
Rachkauskas, A.; Sakalauskas, V. A non-uniform estimate of the rate of convergence to a stable law in some Banach spaces. (Russian) Zbl 0491.60007 Litov. Mat. Sb. 21, No. 4, 185-193 (1981). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{A. Rachkauskas} and \textit{V. Sakalauskas}, Litov. Mat. Sb. 21, No. 4, 185--193 (1981; Zbl 0491.60007)
Borovskikh, Yu. V.; Rachkauskas, A. Asymptotics of distributions in Banach spaces. (English) Zbl 0453.60014 Lith. Math. J. 19, 472-481 (1980). MSC: 60B12 60B10 60F05 PDFBibTeX XMLCite \textit{Yu. V. Borovskikh} and \textit{A. Rachkauskas}, Lith. Math. J. 19, 472--481 (1980; Zbl 0453.60014) Full Text: DOI