Hadjikyriakou, Milto; Giuliano, Rita On the limit distribution of extremes of generalized Oppenheim random variables. arXiv:2405.11241 Preprint, arXiv:2405.11241 [math.PR] (2024). BibTeX Cite \textit{M. Hadjikyriakou} and \textit{R. Giuliano}, ``On the limit distribution of extremes of generalized Oppenheim random variables'', Preprint, arXiv:2405.11241 [math.PR] (2024) Full Text: arXiv OA License
Giuliano, Rita; Grekos, Georges; Misik, Ladislav The Beurling-Malliavin density, the Polya density and their connection. arXiv:2404.18711 Preprint, arXiv:2404.18711 [math.NT] (2024). MSC: 11B25 11B05 BibTeX Cite \textit{R. Giuliano} et al., ``The Beurling-Malliavin density, the Polya density and their connection'', Preprint, arXiv:2404.18711 [math.NT] (2024) Full Text: arXiv OA License
Giuliano, Rita; Macci, Claudio Some examples of noncentral moderate deviations for sequences of real random variables. (English) Zbl 1521.60015 Mod. Stoch., Theory Appl. 10, No. 2, 111-144 (2023). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F10 60F05 60G70 60C05 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Mod. Stoch., Theory Appl. 10, No. 2, 111--144 (2023; Zbl 1521.60015) Full Text: DOI arXiv
Giuliano, R.; Hadjikyriakou, M. New asymptotic results for generalized Oppenheim expansions. (English) Zbl 1538.60048 Acta Math. Hung. 169, No. 2, 359-381 (2023). Reviewer: Weiping Li (Guanghan) MSC: 60F15 60F05 11K55 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, Acta Math. Hung. 169, No. 2, 359--381 (2023; Zbl 1538.60048) Full Text: DOI arXiv
Giuliano, Rita; Grekos, Georges On the connection between the Beurling-Malliavin density and the asymptotic density. arXiv:2311.04762 Preprint, arXiv:2311.04762 [math.NT] (2023). MSC: 11B25 14F05 11B05 BibTeX Cite \textit{R. Giuliano} and \textit{G. Grekos}, ``On the connection between the Beurling-Malliavin density and the asymptotic density'', Preprint, arXiv:2311.04762 [math.NT] (2023) Full Text: arXiv OA License
Hadjikyriakou, Milto; Giuliano, Rita Strong laws of large numbers for lightly trimmed sums of generalized Oppenheim expansions. arXiv:2311.02764 Preprint, arXiv:2311.02764 [math.PR] (2023). BibTeX Cite \textit{M. Hadjikyriakou} and \textit{R. Giuliano}, ``Strong laws of large numbers for lightly trimmed sums of generalized Oppenheim expansions'', Preprint, arXiv:2311.02764 [math.PR] (2023) Full Text: arXiv OA License
Giuliano, Rita; Hadjikyriakou, Milto Intermediately Trimmed Sums of Oppenheim Expansions: a Strong Law. arXiv:2310.00669 Preprint, arXiv:2310.00669 [math.PR] (2023). MSC: 60F15 60G50 11K55 BibTeX Cite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, ``Intermediately Trimmed Sums of Oppenheim Expansions: a Strong Law'', Preprint, arXiv:2310.00669 [math.PR] (2023) Full Text: arXiv OA License
Al Hayek, Nour; Donhauzer, Illia; Giuliano, Rita; Olenko, Andriy; Volodin, Andrei Asymptotics of running maxima for \(\varphi \)-subgaussian random double arrays. (English) Zbl 1498.60112 Methodol. Comput. Appl. Probab. 24, No. 3, 1341-1366 (2022). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F15 60G60 60G70 PDFBibTeX XMLCite \textit{N. Al Hayek} et al., Methodol. Comput. Appl. Probab. 24, No. 3, 1341--1366 (2022; Zbl 1498.60112) Full Text: DOI arXiv
Giuliano, Rita; Macci, Claudio; Pacchiarotti, Barbara Asymptotic results for sums and extremes. arXiv:2210.02098 Preprint, arXiv:2210.02098 [math.PR] (2022). BibTeX Cite \textit{R. Giuliano} et al., ``Asymptotic results for sums and extremes'', Preprint, arXiv:2210.02098 [math.PR] (2022) Full Text: arXiv OA License
Fang, Lulu; Giuliano, Rita Convergence results for Oppenheim expansions. II. (English) Zbl 1486.11095 Monatsh. Math. 196, No. 4, 737-761 (2021). Reviewer: Simon Kristensen (Aarhus) MSC: 11K50 11K55 60F05 60F10 PDFBibTeX XMLCite \textit{L. Fang} and \textit{R. Giuliano}, Monatsh. Math. 196, No. 4, 737--761 (2021; Zbl 1486.11095) Full Text: DOI
Giuliano, Rita; Hadjikyriakou, Milto On exact laws of large numbers for Oppenheim expansions with infinite mean. (English) Zbl 1472.60056 J. Theor. Probab. 34, No. 3, 1579-1606 (2021). MSC: 60F15 60F05 11K55 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, J. Theor. Probab. 34, No. 3, 1579--1606 (2021; Zbl 1472.60056) Full Text: DOI arXiv
Giuliano, Rita; Hadjikyriakou, Milto Convergence for weighted sums of Lüroth type random variables. (English) Zbl 1470.60076 J. Math. Anal. Appl. 502, No. 2, Article ID 125263, 36 p. (2021). MSC: 60F05 11K55 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Hadjikyriakou}, J. Math. Anal. Appl. 502, No. 2, Article ID 125263, 36 p. (2021; Zbl 1470.60076) Full Text: DOI arXiv
Giuliano, Rita; Macci, Claudio; Pacchiarotti, Barbara Asymptotic results for weighted means of linear combinations of independent Poisson random variables. (English) Zbl 1492.60063 Stochastics 92, No. 4, 497-518 (2020). MSC: 60F10 60F05 60E07 PDFBibTeX XMLCite \textit{R. Giuliano} et al., Stochastics 92, No. 4, 497--518 (2020; Zbl 1492.60063) Full Text: DOI
Giuliano, R.; Cabrera, M. Ordóñez; Volodin, A. On the sub-gaussianity of the \(r\)-correlograms. (English) Zbl 1456.60080 Theory Probab. Appl. 65, No. 3, 470-481 (2020) and Teor. Veroyatn. Primen. 65, No. 3, 602-616 (2020). MSC: 60G10 60G15 62M09 PDFBibTeX XMLCite \textit{R. Giuliano} et al., Theory Probab. Appl. 65, No. 3, 470--481 (2020; Zbl 1456.60080) Full Text: DOI
Giuliano, Rita; Macci, Claudio; Pacchiarotti, Barbara Large deviations for weighted means of random vectors defined in terms of suitable Lévy processes. (English) Zbl 1458.60037 Stat. Probab. Lett. 150, 13-22 (2019). MSC: 60F10 60E07 60G51 PDFBibTeX XMLCite \textit{R. Giuliano} et al., Stat. Probab. Lett. 150, 13--22 (2019; Zbl 1458.60037) Full Text: DOI
Giuliano, Rita Convergence results for Oppenheim expansions. (English) Zbl 1410.11108 Monatsh. Math. 187, No. 3, 509-530 (2018). Reviewer: Enrico Zoli (Firenze) MSC: 11K55 60F05 PDFBibTeX XMLCite \textit{R. Giuliano}, Monatsh. Math. 187, No. 3, 509--530 (2018; Zbl 1410.11108) Full Text: DOI
Giuliano, Rita; Szewczak, Zbigniew S.; Weber, Michel J. G. Almost sure local limit theorem for the Dickman distribution. (English) Zbl 1399.60009 Period. Math. Hung. 76, No. 2, 155-197 (2018). Reviewer: Christoph Aistleitner (Graz) MSC: 60C05 62E20 11N80 PDFBibTeX XMLCite \textit{R. Giuliano} et al., Period. Math. Hung. 76, No. 2, 155--197 (2018; Zbl 1399.60009) Full Text: DOI arXiv
Giuliano, Rita; Macci, Claudio Large deviation results and applications to the generalized Cramér model. (English) Zbl 1390.60106 Mathematics 6, No. 4, Paper No. 49, 12 p. (2018). MSC: 60F10 11B25 11N13 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Mathematics 6, No. 4, Paper No. 49, 12 p. (2018; Zbl 1390.60106) Full Text: DOI OA License
Giuliano, Rita; Macci, Claudio Large deviations for some logarithmic means in the case of random variables with thin tails. (English) Zbl 1390.60105 Stat. Probab. Lett. 138, 47-56 (2018). MSC: 60F10 60F05 60F15 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Stat. Probab. Lett. 138, 47--56 (2018; Zbl 1390.60105) Full Text: DOI
Giuliano, Rita; Grekos, Georges On the upper and lower exponential density functions. (English) Zbl 1448.11022 Math. Slovaca 67, No. 5, 1105-1128 (2017). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11B05 11K99 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{G. Grekos}, Math. Slovaca 67, No. 5, 1105--1128 (2017; Zbl 1448.11022) Full Text: DOI Link
Giuliano, Rita; Weber, Michel Approximate local limit theorems with effective rate and application to random walks in random scenery. (English) Zbl 1407.60126 Bernoulli 23, No. 4B, 3268-3310 (2017). MSC: 60K37 60F17 60G50 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Weber}, Bernoulli 23, No. 4B, 3268--3310 (2017; Zbl 1407.60126) Full Text: DOI arXiv Euclid
Giuliano, Rita Convergence results for \(r\)-iterated means of the denominators of the Lüroth series. (English) Zbl 1440.60022 Unif. Distrib. Theory 11, No. 2, 179-203 (2016). MSC: 60F05 11K55 PDFBibTeX XMLCite \textit{R. Giuliano}, Unif. Distrib. Theory 11, No. 2, 179--203 (2016; Zbl 1440.60022) Full Text: DOI OA License
Giuliano, Rita; Weber, Michel Local limit theorems in some random models from number theory. (English) Zbl 1350.60018 Stochastic Anal. Appl. 34, No. 6, 941-960 (2016). MSC: 60F05 60F15 60K37 60G50 11P81 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{M. Weber}, Stochastic Anal. Appl. 34, No. 6, 941--960 (2016; Zbl 1350.60018) Full Text: DOI arXiv HAL
Giuliano, Rita; Macci, Claudio Asymptotic results for a class of triangular arrays of multivariate random variables with Bernoulli distributed components. (English) Zbl 1347.60018 Lith. Math. J. 56, No. 3, 298-317 (2016). MSC: 60F10 60F05 11K99 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Lith. Math. J. 56, No. 3, 298--317 (2016; Zbl 1347.60018) Full Text: DOI
Giuliano, Rita; Macci, Claudio Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications. (English) Zbl 1333.60031 ESAIM, Probab. Stat. 19, 395-413 (2015). MSC: 60F05 60F10 60F15 11K99 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, ESAIM, Probab. Stat. 19, 395--413 (2015; Zbl 1333.60031) Full Text: DOI
Giuliano, Rita; Macci, Claudio; Pacchiarotti, Barbara Asymptotic results for runs and empirical cumulative entropies. (English) Zbl 1312.60017 J. Stat. Plann. Inference 157-158, 77-89 (2015). Reviewer: Joseph Melamed (Los Angeles) MSC: 60F10 62G30 62G20 PDFBibTeX XMLCite \textit{R. Giuliano} et al., J. Stat. Plann. Inference 157--158, 77--89 (2015; Zbl 1312.60017) Full Text: DOI
Giuliano, Rita; Macci, Claudio; Pacchiarotti, Barbara On large deviations for some sequences of weighted means of Gaussian processes. (English) Zbl 1308.60040 J. Math. Anal. Appl. 414, No. 2, 612-631 (2014). MSC: 60G15 60F10 PDFBibTeX XMLCite \textit{R. Giuliano} et al., J. Math. Anal. Appl. 414, No. 2, 612--631 (2014; Zbl 1308.60040) Full Text: DOI
Giuliano, Rita; Macci, Claudio Large deviation principles for sequences of maxima and minima. (English) Zbl 1294.60048 Commun. Stat., Theory Methods 43, No. 6, 1077-1098 (2014). MSC: 60F10 60G70 62G30 62H05 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Commun. Stat., Theory Methods 43, No. 6, 1077--1098 (2014; Zbl 1294.60048) Full Text: DOI
Giuliano, Rita; Szewczak, Zbigniew S. A general correlation inequality and the almost sure local limit theorem for random sequences in the domain of attraction of a stable law. (English) Zbl 1282.60019 Stochastic Processes Appl. 124, No. 4, 1612-1626 (2014). MSC: 60E07 62H20 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{Z. S. Szewczak}, Stochastic Processes Appl. 124, No. 4, 1612--1626 (2014; Zbl 1282.60019) Full Text: DOI arXiv
Giuliano, Rita; Macci, Claudio On the asymptotic behavior of a sequence of random variables of interest in the classical occupancy problem. (English. Ukrainian original) Zbl 1329.60052 Theory Probab. Math. Stat. 87, 31-40 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 28-37 (2012). MSC: 60F10 60F05 60C05 60G55 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Theory Probab. Math. Stat. 87, 31--40 (2013; Zbl 1329.60052); translation from Teor. Jmovirn. Mat. Stat. 87, 28--37 (2012) Full Text: DOI
Giuliano, Rita; Macci, Claudio Large deviations for some normalized sums of exponentially distributed random variables. (English) Zbl 1265.60025 Ann. Math. Inform. 39, 109-123 (2012). MSC: 60F05 60F10 60F15 62G30 11M06 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Ann. Math. Inform. 39, 109--123 (2012; Zbl 1265.60025) Full Text: Link
Giuliano, Rita Weak convergence of sequences from fractional parts of random variables and applications. (English. Russian original) Zbl 1247.60032 Theory Probab. Math. Stat. 83, 59-69 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 49-58 (2010). Reviewer: Josef Steinebach (Köln) MSC: 60F05 60G52 60G70 11K06 62G07 42A10 42A61 PDFBibTeX XMLCite \textit{R. Giuliano}, Theory Probab. Math. Stat. 83, 59--69 (2011; Zbl 1247.60032); translation from Teor. Jmovirn. Mat. Stat. 83, 49--58 (2010) Full Text: DOI
Giuliano, Rita Themes of probability and statistics. (Argomenti di probabilità e statistica.) (Italian) Zbl 1250.62001 Milano: Springer (ISBN 978-88-470-1758-0/pbk; 978-88-470-1759-7/ebook). viii, 147 p. (2011). Reviewer: Carlo Sempi (Lecce) MSC: 62-01 60-01 PDFBibTeX XMLCite \textit{R. Giuliano}, Argomenti di probabilità e statistica (Italian). Milano: Springer (2011; Zbl 1250.62001) Full Text: DOI
Giuliano, Rita; Macci, Claudio Large deviation principles for sequences of logarithmically weighted means. (English) Zbl 1214.60007 J. Math. Anal. Appl. 378, No. 2, 555-570 (2011). MSC: 60F10 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, J. Math. Anal. Appl. 378, No. 2, 555--570 (2011; Zbl 1214.60007) Full Text: DOI
Giuliano, Rita The Rosenblatt coefficient of dependence and the ASCLT for some classes of weakly dependent random sequences. (English) Zbl 1274.60065 Publ. Math. Debr. 76, No. 3, 287-302 (2010). MSC: 60F05 60G10 PDFBibTeX XMLCite \textit{R. Giuliano}, Publ. Math. Debr. 76, No. 3, 287--302 (2010; Zbl 1274.60065)
Giuliano, Rita; Janvresse, Élise A unifying probabilistic interpretation of Benford’s law. (English) Zbl 1274.60229 Unif. Distrib. Theory 5, No. 2, 169-182 (2010). Reviewer: Oto Strauch (Bratislava) MSC: 60J10 11K16 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{É. Janvresse}, Unif. Distrib. Theory 5, No. 2, 169--182 (2010; Zbl 1274.60229)
Giuliano, Rita; Grekos, Georges; Mišík, Ladislav Open problems on densities. II. (English) Zbl 1198.11008 Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 114-128 (2010). Reviewer: Štefan Porubský (Praha) MSC: 11B05 11K99 PDFBibTeX XMLCite \textit{R. Giuliano} et al., AIP Conf. Proc. 1264, 114--128 (2010; Zbl 1198.11008) Full Text: DOI
Giuliano, Rita The Rosenblatt coefficient of dependence for \(m\)-dependent random sequences with applications to the ASCLT. (English) Zbl 1199.60053 Theory Stoch. Process. 14(30), No. 1, 30-38 (2008). MSC: 60F05 60F15 60G10 PDFBibTeX XMLCite \textit{R. Giuliano}, Theory Stoch. Process. 14(30), No. 1, 30--38 (2008; Zbl 1199.60053)