Rosalsky, Andrew; Lê Vǎn Thành; Nguyen Thi Thuy Some mean convergence theorems for the maximum of normed double sums of Banach space valued random elements. (English) Zbl 07904906 Acta Math. Sin., Engl. Ser. 40, No. 7, 1727-1740 (2024). MSC: 60F25 60B11 60B12 PDFBibTeX XMLCite \textit{A. Rosalsky} et al., Acta Math. Sin., Engl. Ser. 40, No. 7, 1727--1740 (2024; Zbl 07904906) Full Text: DOI
Dzung, Nguyen Chi; Hien, Nguyen Thi Thanh On the von Bahr-Esseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence. (English) Zbl 07859881 Math. Slovaca 74, No. 1, 209-220 (2024). MSC: 60F25 60B12 PDFBibTeX XMLCite \textit{N. C. Dzung} and \textit{N. T. T. Hien}, Math. Slovaca 74, No. 1, 209--220 (2024; Zbl 07859881) Full Text: DOI
Herbst, Ira W.; Møller, Jesper; Svane, Anne Marie How many digits are needed? (English) Zbl 1539.60035 Methodol. Comput. Appl. Probab. 26, No. 1, Paper No. 5, 13 p. (2024). MSC: 60F25 62E17 37A50 PDFBibTeX XMLCite \textit{I. W. Herbst} et al., Methodol. Comput. Appl. Probab. 26, No. 1, Paper No. 5, 13 p. (2024; Zbl 1539.60035) Full Text: DOI arXiv OA License
Thành, Lê Vǎn Sharp sufficient conditions for mean convergence of the maximal partial sums of dependent random variables with general norming sequences. (English) Zbl 1537.60037 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 40, 17 p. (2024). MSC: 60F25 PDFBibTeX XMLCite \textit{L. V. Thành}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 40, 17 p. (2024; Zbl 1537.60037) Full Text: DOI
Gantert, Nina; Vilkas, Timo The averaging process on infinite graphs. arXiv:2408.06859 Preprint, arXiv:2408.06859 [math.PR] (2024). MSC: 60F25 60K35 BibTeX Cite \textit{N. Gantert} and \textit{T. Vilkas}, ``The averaging process on infinite graphs'', Preprint, arXiv:2408.06859 [math.PR] (2024) Full Text: arXiv OA License
Herbst, Ira W.; Møller, Jesper; Svane, Anne Marie The asymptotic distribution of the scaled remainder for pseudo golden ratio expansions of a continuous random variable. arXiv:2404.08387 Preprint, arXiv:2404.08387 [math.PR] (2024). MSC: 60F25 62E17 37A50 BibTeX Cite \textit{I. W. Herbst} et al., ``The asymptotic distribution of the scaled remainder for pseudo golden ratio expansions of a continuous random variable'', Preprint, arXiv:2404.08387 [math.PR] (2024) Full Text: arXiv OA License
Frolov, A. N. On the asymptotic behavior of probabilities of moderate deviations for combinatorial sums. (English. Russian original) Zbl 07830141 Vestn. St. Petersbg. Univ., Math. 56, No. 4, 559-568 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 4, 762-774 (2023). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 60F25 60G50 60C05 PDFBibTeX XMLCite \textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 56, No. 4, 559--568 (2023; Zbl 07830141); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 4, 762--774 (2023) Full Text: DOI
Akaoka, Y.; Okamura, K.; Otobe, Y. Properties of complex-valued power means of random variables and their applications. (English) Zbl 07773816 Acta Math. Hung. 171, No. 1, 124-175 (2023). Reviewer: Ludwig Paditz (Dresden) MSC: 60F25 60F15 60F05 26E60 62F10 PDFBibTeX XMLCite \textit{Y. Akaoka} et al., Acta Math. Hung. 171, No. 1, 124--175 (2023; Zbl 07773816) Full Text: DOI arXiv
Fournier, Nicolas Convergence of the empirical measure in expected Wasserstein distance: non-asymptotic explicit bounds in \(\mathbb{R}^d\). (English) Zbl 1530.60040 ESAIM, Probab. Stat. 27, 749-775 (2023). Reviewer: Carlo Sempi (Lecce) MSC: 60F25 65C05 PDFBibTeX XMLCite \textit{N. Fournier}, ESAIM, Probab. Stat. 27, 749--775 (2023; Zbl 1530.60040) Full Text: DOI arXiv OA License
Anh, Vu Thi Ngoc On the \(L^1\)-convergence for double arrays of blockwise \(M\)-pairwise negatively dependent random variables. (English) Zbl 1521.60017 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 172, 14 p. (2023). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60F25 PDFBibTeX XMLCite \textit{V. T. N. Anh}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 172, 14 p. (2023; Zbl 1521.60017) Full Text: DOI
Herbst, Ira W.; Møller, Jesper; Svane, Anne Marie The asymptotic distribution of the remainder in a certain base-\(\beta\) expansion. arXiv:2312.09652 Preprint, arXiv:2312.09652 [math.PR] (2023). MSC: 60F25 62E17 37A50 BibTeX Cite \textit{I. W. Herbst} et al., ``The asymptotic distribution of the remainder in a certain base-$\beta$ expansion'', Preprint, arXiv:2312.09652 [math.PR] (2023) Full Text: arXiv OA License
Nili-Sani, H. R.; Jafari, M. The Kolmogrov-Feller type weak law of large numbers for APND random variables. (English) Zbl 07633422 Commun. Stat., Theory Methods 51, No. 24, 8634-8643 (2022). MSC: 60F25 60B12 PDFBibTeX XMLCite \textit{H. R. Nili-Sani} and \textit{M. Jafari}, Commun. Stat., Theory Methods 51, No. 24, 8634--8643 (2022; Zbl 07633422) Full Text: DOI
Han, Xiyue; Schied, Alexander; Zhang, Zhenyuan A limit theorem for Bernoulli convolutions and the \(\Phi \)-variation of functions in the Takagi class. (English) Zbl 1502.60036 J. Theor. Probab. 35, No. 4, 2853-2878 (2022). MSC: 60F25 28A80 26A12 60H05 PDFBibTeX XMLCite \textit{X. Han} et al., J. Theor. Probab. 35, No. 4, 2853--2878 (2022; Zbl 1502.60036) Full Text: DOI arXiv
Li, Deli; Presnell, Brett; Rosalsky, Andrew Some degenerate mean convergence theorems for Banach space valued random elements. (English) Zbl 1489.60051 J. Math. Inequal. 16, No. 1, 117-126 (2022). MSC: 60F25 60B11 60B12 PDFBibTeX XMLCite \textit{D. Li} et al., J. Math. Inequal. 16, No. 1, 117--126 (2022; Zbl 1489.60051) Full Text: DOI
Van, Dat Thai A note on convergence in mean for \(d\)-dimensional arrays of random vectors in Hilbert spaces under the Cesàro uniform integrability. arXiv:2207.11487 Preprint, arXiv:2207.11487 [math.PR] (2022). MSC: 60F25 28A25 BibTeX Cite \textit{D. T. Van}, ``A note on convergence in mean for $d$-dimensional arrays of random vectors in Hilbert spaces under the Cesàro uniform integrability'', Preprint, arXiv:2207.11487 [math.PR] (2022) Full Text: arXiv OA License
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei Correction to: “On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense”. (English) Zbl 1482.60051 Test 30, No. 4, 1076-1077 (2021). MSC: 60F25 40A35 41A36 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Test 30, No. 4, 1076--1077 (2021; Zbl 1482.60051) Full Text: DOI
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense. (English) Zbl 1479.60071 Test 30, No. 1, 83-102 (2021); correction ibid. 30, No. 4, 1076-1077 (2021). MSC: 60F25 40A35 41A36 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Test 30, No. 1, 83--102 (2021; Zbl 1479.60071) Full Text: DOI
Hong, Minhao; Xu, Fangjun Derivatives of local times for some Gaussian fields. II. (English) Zbl 1476.60070 Stat. Probab. Lett. 172, Article ID 109063, 9 p. (2021). MSC: 60F25 60G15 60G22 PDFBibTeX XMLCite \textit{M. Hong} and \textit{F. Xu}, Stat. Probab. Lett. 172, Article ID 109063, 9 p. (2021; Zbl 1476.60070) Full Text: DOI arXiv
Kulik, Alexei; Pavlyukevich, Ilya Moment bounds for dissipative semimartingales with heavy jumps. (English) Zbl 1476.60071 Stochastic Processes Appl. 141, 274-308 (2021). MSC: 60F25 60G44 PDFBibTeX XMLCite \textit{A. Kulik} and \textit{I. Pavlyukevich}, Stochastic Processes Appl. 141, 274--308 (2021; Zbl 1476.60071) Full Text: DOI arXiv
Shi, Lyurong; Guo, Mingle Limit behaviors for ANA random variables under \(R\)-\(h\)-integrability and \(SR\)-\(h\)-integrability. (English) Zbl 1477.60058 J. Math. Inequal. 15, No. 3, 1185-1199 (2021). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F25 60F15 PDFBibTeX XMLCite \textit{L. Shi} and \textit{M. Guo}, J. Math. Inequal. 15, No. 3, 1185--1199 (2021; Zbl 1477.60058) Full Text: DOI
Qiu, Dehua; Yang, Ju; Yi, Yanchun Convergence in \({L^r}\) for \({L_p}\)-mixingale arrays. (Chinese. English summary) Zbl 1463.60054 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 611-618 (2020). MSC: 60F25 PDFBibTeX XMLCite \textit{D. Qiu} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 611--618 (2020; Zbl 1463.60054)
Dung Tien Nguyen; Son Luu Nguyen; Nguyen Huu Du Convergence in Monge-Wasserstein distance of mean field systems with locally Lipschitz coefficients. (English) Zbl 1456.60072 Acta Math. Vietnam. 45, No. 4, 875-896 (2020). MSC: 60F25 60J60 60K35 PDFBibTeX XMLCite \textit{Dung Tien Nguyen} et al., Acta Math. Vietnam. 45, No. 4, 875--896 (2020; Zbl 1456.60072) Full Text: DOI
Da Silva, João Lita Some comments on Chen Xu, Mengmei Xi, Xuejun Wang and Hao Xia’s paper “\(L^r\) convergence for weighted sums of extended negatively dependent random variables”. (English) Zbl 1437.60019 Math. Inequal. Appl. 23, No. 1, 57-60 (2020). MSC: 60F25 60F05 PDFBibTeX XMLCite \textit{J. L. Da Silva}, Math. Inequal. Appl. 23, No. 1, 57--60 (2020; Zbl 1437.60019) Full Text: DOI
Cayé, Thomas; Herdegen, Martin; Muhle-Karbe, Johannes Scaling limits of processes with fast nonlinear mean reversion. (English) Zbl 1434.60112 Stochastic Processes Appl. 130, No. 4, 1994-2031 (2020). MSC: 60F25 60H10 PDFBibTeX XMLCite \textit{T. Cayé} et al., Stochastic Processes Appl. 130, No. 4, 1994--2031 (2020; Zbl 1434.60112) Full Text: DOI arXiv Link
Nguyen, Dung Tien; Nguyen, Son Luu; Du, Nguyen Huu On mean field systems with multi-classes. (English) Zbl 1427.60056 Discrete Contin. Dyn. Syst. 40, No. 2, 683-707 (2020). MSC: 60F25 93E03 60J60 PDFBibTeX XMLCite \textit{D. T. Nguyen} et al., Discrete Contin. Dyn. Syst. 40, No. 2, 683--707 (2020; Zbl 1427.60056) Full Text: DOI
Cheng, Fuxia The \(L_p\) consistency of error density estimator in censored linear regression. (English) Zbl 07530837 Commun. Stat., Theory Methods 48, No. 7, 1579-1584 (2019). MSC: 60F25 62G07 PDFBibTeX XMLCite \textit{F. Cheng}, Commun. Stat., Theory Methods 48, No. 7, 1579--1584 (2019; Zbl 07530837) Full Text: DOI
Li, Deli; Rosalsky, Andrew An improved version of a result of Chandra, Li, and Rosalsky. (English) Zbl 1499.60103 J. Inequal. Appl. 2019, Paper No. 33, 5 p. (2019). MSC: 60F25 60F15 60F05 60B12 60B11 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, J. Inequal. Appl. 2019, Paper No. 33, 5 p. (2019; Zbl 1499.60103) Full Text: DOI OA License
Giuliano Antonini, R.; Ünver, M.; Volodin, A. On the concept of \(A\)-statistical uniform integrability and the law of large numbers. (English) Zbl 1453.60082 Lobachevskii J. Math. 40, No. 12, 2034-2042 (2019). MSC: 60F25 PDFBibTeX XMLCite \textit{R. Giuliano Antonini} et al., Lobachevskii J. Math. 40, No. 12, 2034--2042 (2019; Zbl 1453.60082) Full Text: DOI
Shi, Xuejun; Feng, Qun; Tian, Dejian; Jiang, Long Monotonic limit theorem for \({L^p}\)-semimartingales on general time horizon. (Chinese. English summary) Zbl 1438.60050 Chin. Ann. Math., Ser. A 40, No. 2, 211-230 (2019). MSC: 60F25 60H10 PDFBibTeX XMLCite \textit{X. Shi} et al., Chin. Ann. Math., Ser. A 40, No. 2, 211--230 (2019; Zbl 1438.60050) Full Text: DOI
Ouahra, Mohamed Ait; Guerbaz, Raby; Ouahhabi, Hanae; Sghir, Aissa Occupation time problem for multifractional Brownian motion. (English) Zbl 1486.60065 Probab. Math. Stat. 39, No. 1, 99-113 (2019). Reviewer: Pavel Stoynov (Sofia) MSC: 60F25 60J55 60G22 PDFBibTeX XMLCite \textit{M. A. Ouahra} et al., Probab. Math. Stat. 39, No. 1, 99--113 (2019; Zbl 1486.60065) Full Text: DOI
Bulinski, Alexander; Kozhevin, Alexey Statistical estimation of conditional Shannon entropy. (English) Zbl 1418.60026 ESAIM, Probab. Stat. 23, 350-386 (2019). MSC: 60F25 62G20 62H12 94A17 PDFBibTeX XMLCite \textit{A. Bulinski} and \textit{A. Kozhevin}, ESAIM, Probab. Stat. 23, 350--386 (2019; Zbl 1418.60026) Full Text: DOI arXiv
Bulinski, Alexander; Dimitrov, Denis Statistical estimation of the Shannon entropy. (English) Zbl 1411.60049 Acta Math. Sin., Engl. Ser. 35, No. 1, 17-46 (2019). MSC: 60F25 62G20 62H12 PDFBibTeX XMLCite \textit{A. Bulinski} and \textit{D. Dimitrov}, Acta Math. Sin., Engl. Ser. 35, No. 1, 17--46 (2019; Zbl 1411.60049) Full Text: DOI arXiv
da Silva, João Lita Convergence in \(p\)-mean for arrays of random variables. (English) Zbl 1407.60046 Result. Math. 74, No. 1, Paper No. 38, 11 p. (2019). MSC: 60F25 PDFBibTeX XMLCite \textit{J. L. da Silva}, Result. Math. 74, No. 1, Paper No. 38, 11 p. (2019; Zbl 1407.60046) Full Text: DOI
Bulinski, Alexander; Dimitrov, Denis Statistical estimation of the Kullback-Leibler divergence. arXiv:1907.00196 Preprint, arXiv:1907.00196 [math.ST] (2019). MSC: 60F25 62G20 62H12 BibTeX Cite \textit{A. Bulinski} and \textit{D. Dimitrov}, ``Statistical estimation of the Kullback-Leibler divergence'', Preprint, arXiv:1907.00196 [math.ST] (2019) Full Text: arXiv OA License
Ko, Mi-Hwa \(L_p\)-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in \(\mathbb{R}^d\). (English) Zbl 1497.60048 J. Inequal. Appl. 2018, Paper No. 107, 12 p. (2018). MSC: 60F25 60F15 60F05 60F17 PDFBibTeX XMLCite \textit{M.-H. Ko}, J. Inequal. Appl. 2018, Paper No. 107, 12 p. (2018; Zbl 1497.60048) Full Text: DOI OA License
Wang, Weigang; Gao, Zhenlong The limit theory of one kind of multi-branching process in a random environment. (Chinese. English summary) Zbl 1424.60049 Acta Math. Sin., Chin. Ser. 61, No. 3, 457-468 (2018). MSC: 60F25 60J80 60K37 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Z. Gao}, Acta Math. Sin., Chin. Ser. 61, No. 3, 457--468 (2018; Zbl 1424.60049)
Lafaye de Micheaux, Pierre; Ouimet, Frédéric A uniform \(L^1\) law of large numbers for functions of i.i.d. random variables that are translated by a consistent estimator. (English) Zbl 1407.60047 Stat. Probab. Lett. 142, 109-117 (2018). MSC: 60F25 PDFBibTeX XMLCite \textit{P. Lafaye de Micheaux} and \textit{F. Ouimet}, Stat. Probab. Lett. 142, 109--117 (2018; Zbl 1407.60047) Full Text: DOI arXiv
Li, Yingqiu; Li, Deru; Pan, Sheng; Peng, Xuelian Limit theorems for controlled branching processes in random environments. (Chinese. English summary) Zbl 1413.60028 Acta Math. Sin., Chin. Ser. 61, No. 2, 317-326 (2018). MSC: 60F25 60J80 60K37 PDFBibTeX XMLCite \textit{Y. Li} et al., Acta Math. Sin., Chin. Ser. 61, No. 2, 317--326 (2018; Zbl 1413.60028)
Fatalov, Vadim R. Integrals of Bessel processes and multi-dimensional Ornstein-Uhlenbeck processes: exact asymptotics for \(L^p\)-functionals. (English. Russian original) Zbl 1404.60045 Izv. Math. 82, No. 2, 377-406 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 2, 140-171 (2018). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F25 60J25 PDFBibTeX XMLCite \textit{V. R. Fatalov}, Izv. Math. 82, No. 2, 377--406 (2018; Zbl 1404.60045); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 2, 140--171 (2018) Full Text: DOI
Lanconelli, Alberto Prohorov-type local limit theorems on abstract Wiener spaces. (English) Zbl 1388.60078 Mediterr. J. Math. 15, No. 2, Paper No. 50, 21 p. (2018). MSC: 60F25 60G15 60H07 PDFBibTeX XMLCite \textit{A. Lanconelli}, Mediterr. J. Math. 15, No. 2, Paper No. 50, 21 p. (2018; Zbl 1388.60078) Full Text: DOI arXiv
Hu, Zechun; Peng, Xue Uniform nonintegrability of random variables. (English) Zbl 1382.60059 Front. Math. China 13, No. 1, 41-53 (2018). MSC: 60F25 28A25 PDFBibTeX XMLCite \textit{Z. Hu} and \textit{X. Peng}, Front. Math. China 13, No. 1, 41--53 (2018; Zbl 1382.60059) Full Text: DOI
Athreya, K. B.; Athreya, Avanti A pedagogical remark on Scheffe’s theorem. (English) Zbl 1536.60038 Math. Newsl., Ramanujan Math. Soc. 27, No. 3, 181-182 (2017). MSC: 60F25 PDFBibTeX XMLCite \textit{K. B. Athreya} and \textit{A. Athreya}, Math. Newsl., Ramanujan Math. Soc. 27, No. 3, 181--182 (2017; Zbl 1536.60038)
Krebs, Johannes T. N. Consistency and asymptotic normality of stochastic Euler schemes for ordinary differential equations. (English) Zbl 1377.60047 Stat. Probab. Lett. 125, 1-8 (2017). MSC: 60F25 60F15 60H35 PDFBibTeX XMLCite \textit{J. T. N. Krebs}, Stat. Probab. Lett. 125, 1--8 (2017; Zbl 1377.60047) Full Text: DOI arXiv
Cárcamo, Javier Integrated empirical processes in \(L^{p}\) with applications to estimate probability metrics. (English) Zbl 1407.60045 Bernoulli 23, No. 4B, 3412-3436 (2017). MSC: 60F25 60B10 60F17 PDFBibTeX XMLCite \textit{J. Cárcamo}, Bernoulli 23, No. 4B, 3412--3436 (2017; Zbl 1407.60045) Full Text: DOI Euclid
Wu, Qunying; Jiang, Yuanying Complete moment convergence for negatively dependent sequences of random variables. (English) Zbl 1417.60025 Discrete Dyn. Nat. Soc. 2016, Article ID 9039345, 6 p. (2016). MSC: 60F25 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{Y. Jiang}, Discrete Dyn. Nat. Soc. 2016, Article ID 9039345, 6 p. (2016; Zbl 1417.60025) Full Text: DOI OA License
Lita da Silva, J. Convergence in \(p\)-mean for arrays of row-wise extended negatively dependent random variables. (English) Zbl 1399.60067 Acta Math. Hung. 150, No. 2, 346-362 (2016). MSC: 60F25 PDFBibTeX XMLCite \textit{J. Lita da Silva}, Acta Math. Hung. 150, No. 2, 346--362 (2016; Zbl 1399.60067) Full Text: DOI
Xu, Chen; Xi, Mengmei; Wang, Xuejun; Xia, Hao \(L^r\) convergence for weighted sums of extended negatively dependent random variables. (English) Zbl 1356.60057 J. Math. Inequal. 10, No. 4, 1157-1167 (2016). MSC: 60F25 60F05 PDFBibTeX XMLCite \textit{C. Xu} et al., J. Math. Inequal. 10, No. 4, 1157--1167 (2016; Zbl 1356.60057) Full Text: DOI
Song, Mingzhu; Wu, Yongfeng; Xiang, Yayun \(L^p\) convergence for weighted sums of arrays with pairwise NQD sequences. (Chinese. English summary) Zbl 1363.60049 J. Zhejiang Univ., Sci. Ed. 43, No. 2, 164-167 (2016). MSC: 60F25 PDFBibTeX XMLCite \textit{M. Song} et al., J. Zhejiang Univ., Sci. Ed. 43, No. 2, 164--167 (2016; Zbl 1363.60049)
Ammou, Bilel Kacem Ben; Lanconelli, Alberto A unified approach to local limit theorems in Gaussian spaces and the law of small numbers. (English) Zbl 1502.60035 Di Nardo, Elvira (ed.), Recent advances in probability and statistics. Potenza: Seminario Interdisciplinare di Matematica (S.I.M.). Lect. Notes Semin. Interdiscip. Mat. 12, 61-71 (2015). MSC: 60F25 PDFBibTeX XMLCite \textit{B. K. B. Ammou} and \textit{A. Lanconelli}, Lect. Notes Semin. Interdiscip. Mat. 12, 61--71 (2015; Zbl 1502.60035) Full Text: arXiv Link
Khosravani, Azar; Rasinariu, Constantin \(n\)-digit Benford converges to Benford. (English) Zbl 1398.60052 Int. J. Math. Math. Sci. 2015, Article ID 123816, 4 p. (2015). MSC: 60F25 11K45 PDFBibTeX XMLCite \textit{A. Khosravani} and \textit{C. Rasinariu}, Int. J. Math. Math. Sci. 2015, Article ID 123816, 4 p. (2015; Zbl 1398.60052) Full Text: DOI arXiv OA License
Kwiatkowski, Evan; Mandel, Jan Convergence of the square root ensemble Kalman filter in the large ensemble limit. (English) Zbl 1329.60083 SIAM/ASA J. Uncertain. Quantif. 3, 1-17 (2015). MSC: 60F25 PDFBibTeX XMLCite \textit{E. Kwiatkowski} and \textit{J. Mandel}, SIAM/ASA J. Uncertain. Quantif. 3, 1--17 (2015; Zbl 1329.60083) Full Text: DOI arXiv
Fournier, Nicolas; Guillin, Arnaud On the rate of convergence in Wasserstein distance of the empirical measure. (English) Zbl 1325.60042 Probab. Theory Relat. Fields 162, No. 3-4, 707-738 (2015). MSC: 60F25 60F10 60E15 60J10 60K35 PDFBibTeX XMLCite \textit{N. Fournier} and \textit{A. Guillin}, Probab. Theory Relat. Fields 162, No. 3--4, 707--738 (2015; Zbl 1325.60042) Full Text: DOI arXiv
Ohashi, Alberto; Simas, Alexandre B. A note on the sharp \(L^p\)-convergence rate of upcrossings to the Brownian local time. (English) Zbl 1327.60090 Stat. Probab. Lett. 100, 137-141 (2015). MSC: 60F25 60J65 60J55 PDFBibTeX XMLCite \textit{A. Ohashi} and \textit{A. B. Simas}, Stat. Probab. Lett. 100, 137--141 (2015; Zbl 1327.60090) Full Text: DOI arXiv
Fill, James Allen; Matterer, Jason Quickselect tree process convergence, with an application to distributional convergence for the number of symbol comparisons used by worst-case find. (English) Zbl 1329.60082 Comb. Probab. Comput. 23, No. 5, 805-828 (2014). MSC: 60F25 60F15 68W40 PDFBibTeX XMLCite \textit{J. A. Fill} and \textit{J. Matterer}, Comb. Probab. Comput. 23, No. 5, 805--828 (2014; Zbl 1329.60082) Full Text: DOI
Cuny, Christophe; Merlevède, Florence On martingale approximations and the quenched weak invariance principle. (English) Zbl 1354.60031 Ann. Probab. 42, No. 2, 760-793 (2014). MSC: 60F25 60G42 60G10 60F17 60F05 60F10 60F15 PDFBibTeX XMLCite \textit{C. Cuny} and \textit{F. Merlevède}, Ann. Probab. 42, No. 2, 760--793 (2014; Zbl 1354.60031) Full Text: DOI arXiv Euclid
Li, Yongming; Li, Jia Complete moment convergence and its precise asymptotics for moving average processes under PA random variables. (English) Zbl 1299.60052 J. Math., Wuhan Univ. 33, No. 6, 989-999 (2013). MSC: 60F25 60G07 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Li}, J. Math., Wuhan Univ. 33, No. 6, 989--999 (2013; Zbl 1299.60052)
Kozachenko, Yury; Kurchenko, Oleksandr; Synyavska, Olga Lévy-Baxter theorems for one class of non-Gaussian random fields. (English) Zbl 1284.60073 Monte Carlo Methods Appl. 19, No. 3, 171-182 (2013). Reviewer: George Stoica (Saint John) MSC: 60F25 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Monte Carlo Methods Appl. 19, No. 3, 171--182 (2013; Zbl 1284.60073) Full Text: DOI
Dereich, Steffen; Scheutzow, Michael; Schottstedt, Reik Constructive quantization: approximation by empirical measures. (English. French summary) Zbl 1283.60063 Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 4, 1183-1203 (2013). Reviewer: Ludger Rüschendorf (Freiburg i. Br.) MSC: 60F25 65D32 PDFBibTeX XMLCite \textit{S. Dereich} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 4, 1183--1203 (2013; Zbl 1283.60063) Full Text: DOI arXiv Euclid
Sung, Soo Hak Convergence in \(r\)-mean of weighted sums of NQD random variables. (English) Zbl 1256.60016 Appl. Math. Lett. 26, No. 1, 18-24 (2013). MSC: 60F25 60F05 PDFBibTeX XMLCite \textit{S. H. Sung}, Appl. Math. Lett. 26, No. 1, 18--24 (2013; Zbl 1256.60016) Full Text: DOI
Guo, Jin; Wu, Qun-ying; Xia, Bao-fei \(L_p\) convergence for \(\widetilde p\)-mixing random variables. (English) Zbl 1274.60112 J. Huaqiao Univ., Nat. Sci. 33, No. 2, 229-231 (2012). MSC: 60F25 PDFBibTeX XMLCite \textit{J. Guo} et al., J. Huaqiao Univ., Nat. Sci. 33, No. 2, 229--231 (2012; Zbl 1274.60112)
Qiu, Dehua \(L^r\) convergence for weighted sums of arrays of pairwise NQD random variables. (Chinese. English summary) Zbl 1274.60113 Chin. J. Appl. Probab. Stat. 28, No. 4, 345-355 (2012). MSC: 60F25 PDFBibTeX XMLCite \textit{D. Qiu}, Chin. J. Appl. Probab. Stat. 28, No. 4, 345--355 (2012; Zbl 1274.60113)
Cheng, Lijuan; Wang, Yingzhe \(L^2\)-algebraic decay rate for transient birth-death processes. (English) Zbl 1255.60052 Chin. Ann. Math., Ser. B 33, No. 4, 583-594 (2012). MSC: 60F25 60J80 PDFBibTeX XMLCite \textit{L. Cheng} and \textit{Y. Wang}, Chin. Ann. Math., Ser. B 33, No. 4, 583--594 (2012; Zbl 1255.60052) Full Text: DOI
Guo, Ming Le Complete moment convergence of weighted sums for arrays of rowwise \(\varphi\)-mixing random variables. (English) Zbl 1253.60050 Int. J. Math. Math. Sci. 2012, Article ID 730962, 13 p. (2012). MSC: 60F25 60B12 PDFBibTeX XMLCite \textit{M. Le Guo}, Int. J. Math. Math. Sci. 2012, Article ID 730962, 13 p. (2012; Zbl 1253.60050) Full Text: DOI OA License
Zang, Qing-Pei A kind of complete moment convergence for self-normalized sums. (English) Zbl 1202.60053 Comput. Math. Appl. 60, No. 6, 1803-1809 (2010). MSC: 60F25 60F10 PDFBibTeX XMLCite \textit{Q.-P. Zang}, Comput. Math. Appl. 60, No. 6, 1803--1809 (2010; Zbl 1202.60053) Full Text: DOI
Zang, Qing-Pei A general law of complete moment convergence for self-normalized sums. (English) Zbl 1202.60052 J. Inequal. Appl. 2010, Article ID 760735, 11 p. (2010). MSC: 60F25 PDFBibTeX XMLCite \textit{Q.-P. Zang}, J. Inequal. Appl. 2010, Article ID 760735, 11 p. (2010; Zbl 1202.60052) Full Text: DOI EuDML OA License
Yuan, De Mei; Wu, Xiu Shan Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption. (English) Zbl 1197.60034 J. Stat. Plann. Inference 140, No. 9, 2395-2402 (2010). MSC: 60F25 60F05 60F15 PDFBibTeX XMLCite \textit{D. M. Yuan} and \textit{X. S. Wu}, J. Stat. Plann. Inference 140, No. 9, 2395--2402 (2010; Zbl 1197.60034) Full Text: DOI
Marcus, Michael B.; Rosen, Jay Asymptotic expansions for functions of the increments of certain Gaussian processes. (English) Zbl 1200.60028 Stochastic Processes Appl. 120, No. 2, 195-222 (2010). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60F25 60G15 60F05 PDFBibTeX XMLCite \textit{M. B. Marcus} and \textit{J. Rosen}, Stochastic Processes Appl. 120, No. 2, 195--222 (2010; Zbl 1200.60028) Full Text: DOI arXiv
Brodén, Mats; Wiktorsson, Magnus Hedging Errors Induced by Discrete Trading Under an Adaptive Trading Strategy. arXiv:1004.4526 Preprint, arXiv:1004.4526 [q-fin.RM] (2010). MSC: 60F25 60F05 91B28 BibTeX Cite \textit{M. Brodén} and \textit{M. Wiktorsson}, ``Hedging Errors Induced by Discrete Trading Under an Adaptive Trading Strategy'', Preprint, arXiv:1004.4526 [q-fin.RM] (2010) Full Text: arXiv OA License
Aman, Auguste \(L^p\)-solution of generalized backward stochastic differential equations with barrier. (English) Zbl 1239.60027 Afr. Diaspora J. Math. 8, No. 1, 68-80 (2009). MSC: 60F25 60H20 PDFBibTeX XMLCite \textit{A. Aman}, Afr. Diaspora J. Math. 8, No. 1, 68--80 (2009; Zbl 1239.60027)
Aman, Auguste \(L^p\)-solution of reflected generalized BSDEs with non-Lipschitz coefficients. (English) Zbl 1224.60063 Random Oper. Stoch. Equ. 17, No. 3, 201-219 (2009). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 60F25 60H20 PDFBibTeX XMLCite \textit{A. Aman}, Random Oper. Stoch. Equ. 17, No. 3, 201--219 (2009; Zbl 1224.60063) Full Text: DOI arXiv
Peng, ShiGe Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations. (English) Zbl 1184.60009 Sci. China, Ser. A 52, No. 7, 1391-1411 (2009). Reviewer: Toader Morozan (Bucureşti) MSC: 60F25 60-01 60G15 60E05 60J65 60H30 PDFBibTeX XMLCite \textit{S. Peng}, Sci. China, Ser. A 52, No. 7, 1391--1411 (2009; Zbl 1184.60009) Full Text: DOI
Ghosh, Subhankar \(L^p\) bounds for a central limit theorem with involutions. arXiv:0905.1150 Preprint, arXiv:0905.1150 [math.PR] (2009). MSC: 60F25 60F05 62G10 BibTeX Cite \textit{S. Ghosh}, ``$L^p$ bounds for a central limit theorem with involutions'', Preprint, arXiv:0905.1150 [math.PR] (2009) Full Text: arXiv OA License
Mas, André Local functional principal component analysis. (English) Zbl 1152.60032 Complex Anal. Oper. Theory 2, No. 1, 135-167 (2008). Reviewer: Ferenc Móricz (Szeged) MSC: 60F25 47B25 47B80 PDFBibTeX XMLCite \textit{A. Mas}, Complex Anal. Oper. Theory 2, No. 1, 135--167 (2008; Zbl 1152.60032) Full Text: DOI arXiv HAL
Krajka, A. On some properties of randomly indexed sequences of random elements. (English) Zbl 1118.60023 Acta Appl. Math. 96, No. 1-3, 327-338 (2007). MSC: 60F25 60F15 PDFBibTeX XMLCite \textit{A. Krajka}, Acta Appl. Math. 96, No. 1--3, 327--338 (2007; Zbl 1118.60023) Full Text: DOI
Xie, Peng Limit theorem for stochastic differential equations driven by semimartingales in manifolds. (English) Zbl 1084.60507 Acta Math. Sci., Ser. B, Engl. Ed. 25, No. 4, 639-646 (2005). MSC: 60F25 60H10 PDFBibTeX XMLCite \textit{P. Xie}, Acta Math. Sci., Ser. B, Engl. Ed. 25, No. 4, 639--646 (2005; Zbl 1084.60507) Full Text: DOI
Le Van Thanh On the \(L^p\)-convergence for multidimensional arrays of random variables. (English) Zbl 1081.60520 Int. J. Math. Math. Sci. 2005, No. 8, 1317-1320 (2005). MSC: 60F25 PDFBibTeX XMLCite \textit{Le Van Thanh}, Int. J. Math. Math. Sci. 2005, No. 8, 1317--1320 (2005; Zbl 1081.60520) Full Text: DOI EuDML
Qiu, Dehua; Yang, Xiangqun \(L^r\) convergence of weighted sums of arrays of Banach space valued elements. (Chinese. English summary) Zbl 1072.60027 J. Math. Res. Expo. 25, No. 1, 169-175 (2005). MSC: 60F25 60G48 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{X. Yang}, J. Math. Res. Expo. 25, No. 1, 169--175 (2005; Zbl 1072.60027)
Dedecker, Jérôme; Louhichi, Sana Conditional convergence to infinitely divisible distributions with finite variance. (English) Zbl 1070.60033 Stochastic Processes Appl. 115, No. 5, 737-768 (2005). MSC: 60F25 60F05 60E07 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{S. Louhichi}, Stochastic Processes Appl. 115, No. 5, 737--768 (2005; Zbl 1070.60033) Full Text: DOI
Wang, Yingzhe Algebraic convergence of diffusion processes on \(\mathbb R^n\). (Chinese. English summary) Zbl 1118.60307 Acta Math. Sin. 47, No. 5, 1001-1012 (2004). MSC: 60F25 60J60 PDFBibTeX XMLCite \textit{Y. Wang}, Acta Math. Sin. 47, No. 5, 1001--1012 (2004; Zbl 1118.60307)
Cho, Nhansook; Kwon, Youngmee Central limit type theorem for weighted particle systems. (English) Zbl 1078.60026 J. Korean Math. Soc. 41, No. 5, 773-793 (2004). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60F25 60G35 60H10 PDFBibTeX XMLCite \textit{N. Cho} and \textit{Y. Kwon}, J. Korean Math. Soc. 41, No. 5, 773--793 (2004; Zbl 1078.60026) Full Text: DOI
Acharya, S. K.; Tripathy, C. K. \(L_p\)-convergence of some weighted dependent sequences of random variables. (English) Zbl 1058.60021 Vietnam J. Math. 32, No. 1, 1-11 (2004). MSC: 60F25 PDFBibTeX XMLCite \textit{S. K. Acharya} and \textit{C. K. Tripathy}, Vietnam J. Math. 32, No. 1, 1--11 (2004; Zbl 1058.60021)
Rosalsky, Andrew; Sreehari, M.; Volodin, Andrei I. Mean convergence theorems with or without random indices for randomly weighted sums of random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1038.60025 Stochastic Anal. Appl. 21, No. 5, 1169-1187 (2003). Reviewer: Hans-Peter Scheffler (Dortmund) MSC: 60F25 60B12 60B11 PDFBibTeX XMLCite \textit{A. Rosalsky} et al., Stochastic Anal. Appl. 21, No. 5, 1169--1187 (2003; Zbl 1038.60025) Full Text: DOI
Srinivasan, A.; Nallaswamy, R.; Sridharan, J. On convergence in \(r\)-mean of randomly indexed partial sums for dependent random variables. (English) Zbl 1243.60033 Acta Cienc. Indica, Math. 28, No. 3, 355-358 (2002). MSC: 60F25 PDFBibTeX XMLCite \textit{A. Srinivasan} et al., Acta Cienc. Indica, Math. 28, No. 3, 355--358 (2002; Zbl 1243.60033)
Túri, J. Almost sure functional limit theorems in \(L^p([0,1]^d)\). (English) Zbl 1046.60032 Ann. Univ. Sci. Budap. Rolando Eőtvős, Sect. Math. 45, 159-169 (2002). Reviewer: Peter Lachout (Praha) MSC: 60F25 60F17 60G50 PDFBibTeX XMLCite \textit{J. Túri}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 45, 159--169 (2002; Zbl 1046.60032)
Roussas, G. G.; Bhattacharya, D. Exponential approximation of distributions. (English) Zbl 1029.60020 Theory Probab. Math. Stat. 66, 119-132 (2003) and Teor. Jmovirn. Mat. Stat. 66, 108-120 (2002). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60F25 60G40 62E20 62F12 62M09 PDFBibTeX XMLCite \textit{G. G. Roussas} and \textit{D. Bhattacharya}, Teor. Ĭmovirn. Mat. Stat. 66, 108--120 (2002; Zbl 1029.60020)
Caristi, Giuseppe On some problems of stochastic convergence. (English) Zbl 1022.60032 Rend. Semin. Mat. Messina, Ser. II 7(22)(2000), 125-128 (2002). Reviewer: Birute Kryžienė (Vilnius) MSC: 60F25 PDFBibTeX XMLCite \textit{G. Caristi}, Rend. Semin. Mat. Messina, Ser. II 7(22), 125--128 (2002; Zbl 1022.60032)
Liang, Xiaoli; Cai, Ruosong The \(L^p\) convergence of \(B\)-valued \(L'\) limit martingale transform. (Chinese. English summary) Zbl 1136.60326 J. Math. Res. Expo. 22, No. 1, 76-78 (2002). MSC: 60F25 60G42 PDFBibTeX XMLCite \textit{X. Liang} and \textit{R. Cai}, J. Math. Res. Expo. 22, No. 1, 76--78 (2002; Zbl 1136.60326)
Krätschmer, Volker Limit theorems for fuzzy-random variables. (English) Zbl 0996.60042 Fuzzy Sets Syst. 126, No. 2, 253-263 (2002). Reviewer: Wolfgang Näther (Freiberg) MSC: 60F25 PDFBibTeX XMLCite \textit{V. Krätschmer}, Fuzzy Sets Syst. 126, No. 2, 253--263 (2002; Zbl 0996.60042) Full Text: DOI
Ait Ouahra, M.; Eddahbi, M. Limit theorems for certain functionals associated to stable processes in a Hölder space. (Théorèmes limites pour certaines fonctionnelles associées aux processus stables sur l’espace de Hölder.) (French) Zbl 0995.60037 Publ. Mat., Barc. 45, No. 2, 371-386 (2001). Reviewer: Werner Linde (Jena) MSC: 60F25 60G52 PDFBibTeX XMLCite \textit{M. Ait Ouahra} and \textit{M. Eddahbi}, Publ. Mat., Barc. 45, No. 2, 371--386 (2001; Zbl 0995.60037) Full Text: DOI EuDML
Penrose, Mathew D. Limit theorems for monolayer ballistic deposition in the continuum. (English) Zbl 0990.60033 J. Stat. Phys. 105, No. 3-4, 561-583 (2001). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F25 60F05 82D99 PDFBibTeX XMLCite \textit{M. D. Penrose}, J. Stat. Phys. 105, No. 3--4, 561--583 (2001; Zbl 0990.60033) Full Text: DOI arXiv
Il’jenko, A. B. The asymptotic behaviour of sample means of shot noise processes. (English. Ukrainian original) Zbl 0998.60030 Theory Probab. Math. Stat. 64, 63-73 (2002); translation from Teor. Jmovirn. Mat. Stat. 64, 57-65 (2001). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60F25 60F10 60G10 60F05 PDFBibTeX XMLCite \textit{A. B. Il'jenko}, Teor. Ĭmovirn. Mat. Stat. 64, 57--65 (2001; Zbl 0998.60030); translation from Teor. Jmovirn. Mat. Stat. 64, 57--65 (2001)
Csörgő, Miklós; Zitikis, Ričardas The Vervaat process in \(L_p\) spaces. (English) Zbl 0991.60027 J. Multivariate Anal. 78, No. 1, 103-138 (2001). Reviewer: Erich Häusler (Gießen) MSC: 60F25 60F17 60F15 60F05 PDFBibTeX XMLCite \textit{M. Csörgő} and \textit{R. Zitikis}, J. Multivariate Anal. 78, No. 1, 103--138 (2001; Zbl 0991.60027) Full Text: DOI
Čekanavičius, V. Remarks on infinitely divisible approximations to the binomial law. (English) Zbl 0994.60034 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12-18, 1998. Vilnius: TEV. 135-146 (1999). Reviewer: B.Grigelionis (Vilnius) MSC: 60F25 60E10 60E07 PDFBibTeX XMLCite \textit{V. Čekanavičius}, in: Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12--18, 1998. Vilnius: TEV; Utrecht: VSP. 135--146 (1999; Zbl 0994.60034)
Buldygin, V. V.; Il’jenko, A. B. Asymptotic properties of Schottky time series. (English. Ukrainian original) Zbl 0960.60036 Theory Probab. Math. Stat. 59, 21-34 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 20-33 (1998). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F25 60F05 60F10 60G10 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{A. B. Il'jenko}, Teor. Ĭmovirn. Mat. Stat. 59, 20--33 (1998; Zbl 0960.60036); translation from Teor. Jmorvirn. Mat. Stat. 59, 20--33 (1998)
Alonso, Alberto; Brambila-Paz, Fernando \(L^p\)-continuity of conditional expectations. (English) Zbl 0917.60034 J. Math. Anal. Appl. 221, No. 1, 161-176 (1998). Reviewer: F.Weisz (Budapest) MSC: 60F25 60G48 PDFBibTeX XMLCite \textit{A. Alonso} and \textit{F. Brambila-Paz}, J. Math. Anal. Appl. 221, No. 1, 161--176 (1998; Zbl 0917.60034) Full Text: DOI
Peškir, Goran The uniform mean-square ergodic theorem for wide sense stationary processes. (English) Zbl 0916.60039 Stochastic Anal. Appl. 16, No. 4, 697-720 (1998). Reviewer: H.Hering (Göttingen) MSC: 60F25 60G10 60B12 60H05 PDFBibTeX XMLCite \textit{G. Peškir}, Stochastic Anal. Appl. 16, No. 4, 697--720 (1998; Zbl 0916.60039) Full Text: DOI
Etemadi, N.; Sriram, T. N.; Vidyashankar, A. N. \(L_ p\) convergence of reciprocals of sample means with applications to sequential estimation in linear regression. (English) Zbl 0890.60031 J. Stat. Plann. Inference 65, No. 1, 1-15 (1997). MSC: 60F25 62J05 62L12 60G10 60G09 PDFBibTeX XMLCite \textit{N. Etemadi} et al., J. Stat. Plann. Inference 65, No. 1, 1--15 (1997; Zbl 0890.60031) Full Text: DOI
Datta, Somnath; Hannan, James F. A uniform \(L_1\) law of large numbers for functions on a totally bounded metric space. (English) Zbl 0902.60029 Sankhyā, Ser. A 59, No. 2, 167-174 (1997). Reviewer: P.Lachout (Praha) MSC: 60F25 62F12 PDFBibTeX XMLCite \textit{S. Datta} and \textit{J. F. Hannan}, Sankhyā, Ser. A 59, No. 2, 167--174 (1997; Zbl 0902.60029)
Klei, Heinz-Albrecht Convergence and extraction of bounded sequences in \(L^ 1(\mathbb{R})\). (English) Zbl 0851.60032 J. Math. Anal. Appl. 198, No. 3, 636-642 (1996). MSC: 60F25 PDFBibTeX XMLCite \textit{H.-A. Klei}, J. Math. Anal. Appl. 198, No. 3, 636--642 (1996; Zbl 0851.60032) Full Text: DOI
Heinich, Henri; Lootgieter, Jean-Claude Convergence of monotone functions. (Convergence des fonctions monotones.) (French. Abridged English version) Zbl 0849.60027 C. R. Acad. Sci., Paris, Sér. I 322, No. 9, 869-874 (1996). MSC: 60F25 PDFBibTeX XMLCite \textit{H. Heinich} and \textit{J.-C. Lootgieter}, C. R. Acad. Sci., Paris, Sér. I 322, No. 9, 869--874 (1996; Zbl 0849.60027)