Deng, Dianliang; Hu, Zhitao Precise asymptotics in strong limit theorems for self-normalized sums of multidimensionally indexed random variables. (English) Zbl 1368.60032 Dawson, Donald (ed.) et al., Asymptotic laws and methods in stochastics. A volume in honour of Miklós Csörgő on the occasion of his 80th birthday. Proceedings of the international symposium on asymptotic methods in stochastics, Ottawa, Canada, July 3–6, 2012. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3075-3/hbk; 978-1-4939-3076-0/ebook). Fields Institute Communications 76, 17-41 (2015). MSC: 60F15 60F10 60G50 PDF BibTeX XML Cite \textit{D. Deng} and \textit{Z. Hu}, Fields Inst. Commun. 76, 17--41 (2015; Zbl 1368.60032) Full Text: DOI
Deng, Dianliang Precise asymptotics in the deviation probability series of self-normalized sums. (English) Zbl 1213.60053 J. Math. Anal. Appl. 376, No. 1, 136-153 (2011). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60F10 60F99 60G50 PDF BibTeX XML Cite \textit{D. Deng}, J. Math. Anal. Appl. 376, No. 1, 136--153 (2011; Zbl 1213.60053) Full Text: DOI
Deng, Dianliang Convergence rates for probabilities of moderate deviations for multidimensionally indexed random variables. (English) Zbl 1195.60045 Int. J. Math. Math. Sci. 2009, Article ID 253750, 15 p. (2009). MSC: 60F15 PDF BibTeX XML Cite \textit{D. Deng}, Int. J. Math. Math. Sci. 2009, Article ID 253750, 15 p. (2009; Zbl 1195.60045) Full Text: DOI EuDML
Deng, Dianliang Self-normalized Wittmann’s laws of iterated logarithm in Banach space. (English) Zbl 1120.60019 Stat. Probab. Lett. 77, No. 6, 632-643 (2007). MSC: 60F05 60B12 60F99 PDF BibTeX XML Cite \textit{D. Deng}, Stat. Probab. Lett. 77, No. 6, 632--643 (2007; Zbl 1120.60019) Full Text: DOI
Deng, Dianliang The complete convergence of subsequence for sums of independent B-valued random variables. (English) Zbl 1090.60029 Stat. Probab. Lett. 74, No. 3, 235-244 (2005). Reviewer: Krzysztof Oleszkiewicz (Warsaw) MSC: 60F15 46B09 60G50 PDF BibTeX XML Cite \textit{D. Deng}, Stat. Probab. Lett. 74, No. 3, 235--244 (2005; Zbl 1090.60029) Full Text: DOI
Deng, Dianliang On the bounded laws of iterated logarithm in Banach space. (English) Zbl 1136.60314 ESAIM, Probab. Stat. 9, 19-37 (2005). MSC: 60F05 60B12 60F99 PDF BibTeX XML Cite \textit{D. Deng}, ESAIM, Probab. Stat. 9, 19--37 (2005; Zbl 1136.60314) Full Text: DOI Numdam EuDML
Deng, D. Wittmann’s law of iterated logarithm for tail sums of \(B\)-valued random variables. (English) Zbl 1056.60003 J. Theor. Probab. 17, No. 2, 367-385 (2004). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{D. Deng}, J. Theor. Probab. 17, No. 2, 367--385 (2004; Zbl 1056.60003) Full Text: DOI
Deng, Dianliang On the self-normalized bounded laws of iterated logarithm in Banach space. (English) Zbl 1113.60300 Stat. Probab. Lett. 64, No. 3, 277-286 (2003). MSC: 60B12 60F05 60F17 60F15 PDF BibTeX XML Cite \textit{D. Deng}, Stat. Probab. Lett. 64, No. 3, 277--286 (2003; Zbl 1113.60300) Full Text: DOI
Deng, Dianliang Complete convergence and convergence rates in Marcinkiewicz law of large numbers for random variables indexed by \(Z_+^d\). (English) Zbl 0946.60027 Math. Appl. 9, No. 4, 441-448 (1996). Reviewer: A.Gut (Uppsala) MSC: 60F15 60G50 PDF BibTeX XML Cite \textit{D. Deng}, Math. Appl. 9, No. 4, 441--448 (1996; Zbl 0946.60027)
Deng, D. Convergence rates for probabilities of moderate deviation for sums of random variables indexed by \(Z_ +^ d\). (English) Zbl 0822.60023 Acta Math. Hung. 67, No. 1-2, 131-149 (1995). Reviewer: D.Deng (Changchun) MSC: 60F10 60B12 60F99 PDF BibTeX XML Cite \textit{D. Deng}, Acta Math. Hung. 67, No. 1--2, 131--149 (1995; Zbl 0822.60023) Full Text: DOI
Deng, Dianliang The law of the iterated logarithm for tail sums of \(B\)-valued random variables. (Chinese. English summary) Zbl 0988.60513 Acta Sci. Nat. Univ. Jilinensis 1994, No. 3, 1-10 (1994). MSC: 60F15 60G15 PDF BibTeX XML Cite \textit{D. Deng}, Acta Sci. Nat. Univ. Jilinensis 1994, No. 3, 1--10 (1994; Zbl 0988.60513)
Deng, Dianliang The complete convergence of subsequences for sums of independent random variables. (Chinese. English summary) Zbl 0781.60026 Acta Math. Appl. Sin. 16, No. 3, 308-316 (1993). MSC: 60F15 60G50 PDF BibTeX XML Cite \textit{D. Deng}, Acta Math. Appl. Sin. 16, No. 3, 308--316 (1993; Zbl 0781.60026)
Deng, Dianliang The estimation of the superior limit in the law of iterated logarithm for tail sums. (English) Zbl 0754.60011 Northeast. Math. J. 7, No. 3, 265-274 (1991). MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{D. Deng}, Northeast. Math. J. 7, No. 3, 265--274 (1991; Zbl 0754.60011)
Deng, Dianliang The law of iterated logarithm of weighted sums of Banach space valued random variables. (English) Zbl 0665.60013 Northeast. Math. J. 4, No. 1, 49-68 (1988). Reviewer: J.Szulga MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{D. Deng}, Northeast. Math. J. 4, No. 1, 49--68 (1988; Zbl 0665.60013)
Deng, Dianliang The law of the iterated logarithm for tail sums of Banach-space-valued random variables. (Chinese. English summary) Zbl 0988.60501 Acta Sci. Nat. Univ. Jilinensis 1988, No. 2, 15-24 (1988). MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{D. Deng}, Acta Sci. Nat. Univ. Jilinensis 1988, No. 2, 15--24 (1988; Zbl 0988.60501)