Huang, Yingqiang; Chen, Pingyan; Sung, Soo Hak The Kolmogorov strong law of large numbers for WOD random variables. (English) Zbl 1518.60045 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 136, 12 p. (2023). Reviewer: Pavel Stoynov (Sofia) MSC: 60F15 PDFBibTeX XMLCite \textit{Y. Huang} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 136, 12 p. (2023; Zbl 1518.60045) Full Text: DOI
Chen, Pingyan; Cabrera, Manuel Ordóñez; Rosalsky, Andrew; Volodin, Andrei Some mean convergence theorems for weighted sums of Banach space valued random elements. (English) Zbl 1489.60006 Stochastics 94, No. 4, 559-577 (2022). MSC: 60B12 60F05 60B11 60B05 PDFBibTeX XMLCite \textit{P. Chen} et al., Stochastics 94, No. 4, 559--577 (2022; Zbl 1489.60006) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak A Marcinkiewicz-Zygmund type strong law for weighted sums of \(\phi \)-mixing random variables and its applications. (English) Zbl 1476.60062 J. Math. Anal. Appl. 505, No. 1, Article ID 125572, 12 p. (2022). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F15 62G05 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, J. Math. Anal. Appl. 505, No. 1, Article ID 125572, 12 p. (2022; Zbl 1476.60062) Full Text: DOI
Yanchun, Yi; Chen, Pingyan; Sung, Soo Hak Strong consistency of LS estimators in simple linear EV regression models with WOD errors. (English) Zbl 1493.62120 J. Math. Inequal. 15, No. 4, 1533-1544 (2021). MSC: 62F12 60F15 PDFBibTeX XMLCite \textit{Y. Yanchun} et al., J. Math. Inequal. 15, No. 4, 1533--1544 (2021; Zbl 1493.62120) Full Text: DOI
Chen, Pingyan; Luo, Jingjing; Sung, Soo Hak Further Spitzer’s law for widely orthant dependent random variables. (English) Zbl 1504.60047 J. Inequal. Appl. 2021, Paper No. 183, 12 p. (2021). MSC: 60F15 60G50 60E15 60K05 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Inequal. Appl. 2021, Paper No. 183, 12 p. (2021; Zbl 1504.60047) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak Complete convergence for weighted sums of widely orthant-dependent random variables. (English) Zbl 1504.60048 J. Inequal. Appl. 2021, Paper No. 45, 16 p. (2021). MSC: 60F15 62G05 62G08 60F05 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, J. Inequal. Appl. 2021, Paper No. 45, 16 p. (2021; Zbl 1504.60048) Full Text: DOI
Li, Wei; Chen, Pingyan Generalized Davis-Gut law for weighted sums of random variables. (Chinese. English summary) Zbl 1488.60034 Acta Math. Appl. Sin. 44, No. 3, 418-426 (2021). MSC: 60F05 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Chen}, Acta Math. Appl. Sin. 44, No. 3, 418--426 (2021; Zbl 1488.60034)
Chen, Pingyan; Sung, Soo Hak On the Jajte strong law of large numbers. (English) Zbl 1480.60065 Stat. Probab. Lett. 176, Article ID 109138, 6 p. (2021). Reviewer: Rasul A. Khan (Solon) MSC: 60F15 62F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Stat. Probab. Lett. 176, Article ID 109138, 6 p. (2021; Zbl 1480.60065) Full Text: DOI
Chen, Ping Yan; Sung, Soo Hak Complete convergence for randomly weighted sums of random variables satisfying some moment inequalities. (English) Zbl 1469.60091 Acta Math. Sin., Engl. Ser. 37, No. 2, 279-288 (2021). MSC: 60F15 60E15 PDFBibTeX XMLCite \textit{P. Y. Chen} and \textit{S. H. Sung}, Acta Math. Sin., Engl. Ser. 37, No. 2, 279--288 (2021; Zbl 1469.60091) Full Text: DOI
Yi, Yanchun; Chen, Pingyan; Sung, Soo Hak Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities. (English) Zbl 1503.60040 J. Inequal. Appl. 2020, Paper No. 43, 8 p. (2020). MSC: 60F15 60E15 62G05 60F17 PDFBibTeX XMLCite \textit{Y. Yi} et al., J. Inequal. Appl. 2020, Paper No. 43, 8 p. (2020; Zbl 1503.60040) Full Text: DOI
Sreehari, M.; Chen, P. Study of the limiting behavior of delayed random sums under non-identical distributions setup and a chover type LIL. (English) Zbl 1448.60074 Theory Probab. Math. Stat. 100, 153-168 (2020) and Teor. Jmovirn. Mat. Stat. 100, 142-156 (2019). MSC: 60F15 PDFBibTeX XMLCite \textit{M. Sreehari} and \textit{P. Chen}, Theory Probab. Math. Stat. 100, 153--168 (2020; Zbl 1448.60074) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak Rosenthal type inequalities for random variables. (English) Zbl 1446.60015 J. Math. Inequal. 14, No. 2, 305-318 (2020). MSC: 60E15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, J. Math. Inequal. 14, No. 2, 305--318 (2020; Zbl 1446.60015) Full Text: DOI
Chen, Pingyan; Wen, Luliang; Sung, Soo Hak Strong and weak consistency of least squares estimators in simple linear EV regression models. (English) Zbl 1437.62103 J. Stat. Plann. Inference 205, 64-73 (2020). MSC: 62F12 60F15 62J05 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Stat. Plann. Inference 205, 64--73 (2020; Zbl 1437.62103) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak Weak laws of large numbers for nonnegative independent random variables without finite means. (English) Zbl 07529862 Commun. Stat., Theory Methods 48, No. 21, 5401-5413 (2019). MSC: 60F05 62E20 62-XX PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Commun. Stat., Theory Methods 48, No. 21, 5401--5413 (2019; Zbl 07529862) Full Text: DOI
Zhang, Mingyang; Chen, Pingyan; Sung, Soo Hak Convergence rates in the weak law of large numbers for weighted sums of i.i.d. random variables and applications in errors-in-variables models. (English) Zbl 1436.62071 Stoch. Dyn. 19, No. 6, Article ID 1950041, 13 p. (2019). MSC: 62E20 60F05 62J05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Stoch. Dyn. 19, No. 6, Article ID 1950041, 13 p. (2019; Zbl 1436.62071) Full Text: DOI
Qiu, Dehua; Yi, Yanchun; Chen, Pingyan Complete convergence for Sung’s type weighted sums of dependent random variables with general moment conditions. (English) Zbl 1449.60057 J. Math. Res. Appl. 39, No. 4, 395-407 (2019). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} et al., J. Math. Res. Appl. 39, No. 4, 395--407 (2019; Zbl 1449.60057) Full Text: DOI
Chen, Pingyan; Zhang, Tao; Sung, Soo Hak Strong laws for randomly weighted sums of random variables and applications in the bootstrap and random design regression. (English) Zbl 1439.60032 Stat. Sin. 29, No. 4, 1739-1749 (2019). Reviewer: Jonas Šiaulys (Vilnius) MSC: 60F15 62K05 PDFBibTeX XMLCite \textit{P. Chen} et al., Stat. Sin. 29, No. 4, 1739--1749 (2019; Zbl 1439.60032) Full Text: DOI Link
Chen, Pingyan; Sung, Soo Hak Strong laws of large numbers for positively dependent random variables. (English) Zbl 1423.60054 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3089-3100 (2019). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3089--3100 (2019; Zbl 1423.60054) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak A Spitzer-type law of large numbers for widely orthant dependent random variables. (English) Zbl 1422.60049 Stat. Probab. Lett. 154, Article ID 108544, 8 p. (2019). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Stat. Probab. Lett. 154, Article ID 108544, 8 p. (2019; Zbl 1422.60049) Full Text: DOI
Li, Wei; Chen, Pingyan; Hu, Tien-Chung Strong laws for weighted sums of \(\rho ^*\)-mixing random variables under general, moment conditions. (English) Zbl 1448.60071 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 1765-1772 (2019). MSC: 60F15 PDFBibTeX XMLCite \textit{W. Li} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 1765--1772 (2019; Zbl 1448.60071) Full Text: DOI
Li, Wei; Chen, Pingyan; Sung, Soo Hak Complete moment convergence for Sung’s type weighted sums of \(\rho^\ast\)-mixing random variables. (English) Zbl 1499.60090 Filomat 32, No. 4, 1447-1453 (2018). MSC: 60F15 PDFBibTeX XMLCite \textit{W. Li} et al., Filomat 32, No. 4, 1447--1453 (2018; Zbl 1499.60090) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak On complete convergence and complete moment convergence for weighted sums of \(\rho^\ast\)-mixing random variables. (English) Zbl 1497.60034 J. Inequal. Appl. 2018, Paper No. 121, 16 p. (2018). MSC: 60F15 60E15 60G60 60G50 62G05 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, J. Inequal. Appl. 2018, Paper No. 121, 16 p. (2018; Zbl 1497.60034) Full Text: DOI
Zhang, Zhihua; Chen, Pingyan Complete convergence for weighted sums for \(\varphi \)-mixing random variables. (Chinese. English summary) Zbl 1438.60045 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 6, 1095-1102 (2018). MSC: 60F15 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 6, 1095--1102 (2018; Zbl 1438.60045)
Qiu, Dehua; Chen, Pingyan Complete moment convergence for product sums of a sequence of random variables. (Chinese. English summary) Zbl 1424.60037 Acta Math. Sin., Chin. Ser. 61, No. 4, 695-704 (2018). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, Acta Math. Sin., Chin. Ser. 61, No. 4, 695--704 (2018; Zbl 1424.60037)
Qiu, Dehua; Chen, Pingyan; Duan, Zhenghua Convergence for random variables with general moment conditions. (Chinese. English summary) Zbl 1413.60023 Acta Math. Sin., Chin. Ser. 61, No. 2, 261-272 (2018). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} et al., Acta Math. Sin., Chin. Ser. 61, No. 2, 261--272 (2018; Zbl 1413.60023)
Chen, Pingyan; Li, Xiaolin; Sung, Soo Hak Convergence rates in the strong law of large numbers for negatively orthant dependent random variables with general moment conditions. (English) Zbl 1413.60017 Publ. Math. Debr. 93, No. 1-2, 39-55 (2018). Reviewer: Rasul A. Khan (Forest Glen) MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Publ. Math. Debr. 93, No. 1--2, 39--55 (2018; Zbl 1413.60017) Full Text: DOI
Zhang, Guohui; Chen, Lianglu; Chen, Pingyan Chung’s type law of the single logarithm for arrays. (Chinese. English summary) Zbl 1399.60035 Acta Math. Sin., Chin. Ser. 60, No. 5, 883-888 (2017). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{G. Zhang} et al., Acta Math. Sin., Chin. Ser. 60, No. 5, 883--888 (2017; Zbl 1399.60035)
Qiu, Dehua; Chen, Pingyan; Xiao, Juan Complete moment convergence for sequences of END random variables. (Chinese. English summary) Zbl 1399.60055 Acta Math. Appl. Sin. 40, No. 3, 436-448 (2017). MSC: 60F15 60E15 PDFBibTeX XMLCite \textit{D. Qiu} et al., Acta Math. Appl. Sin. 40, No. 3, 436--448 (2017; Zbl 1399.60055)
Qiu, Dehua; Chen, Pingyan; Andrei, Volodin Complete moment convergence for \({L^p}\)-mixingales. (English) Zbl 1399.60054 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 5, 1319-1330 (2017). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Qiu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 5, 1319--1330 (2017; Zbl 1399.60054) Full Text: DOI
Yi, Yanchun; Qiu, Dehua; Chen, Pingyan Complete moment convergence for weighted sums of extended negatively dependent random variables. (English) Zbl 1386.60114 Commun. Stat., Theory Methods 46, No. 20, 10189-10202 (2017). MSC: 60F15 PDFBibTeX XMLCite \textit{Y. Yi} et al., Commun. Stat., Theory Methods 46, No. 20, 10189--10202 (2017; Zbl 1386.60114) Full Text: DOI
Chen, Pingyan; Zhang, Mingyang; Rosalsky, Andrew The Davis-Gut law for independent and identically distributed Banach space valued random elements. (English) Zbl 1375.60070 Glas. Mat., III. Ser. 52, No. 2, 351-360 (2017). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Glas. Mat., III. Ser. 52, No. 2, 351--360 (2017; Zbl 1375.60070) Full Text: DOI Link
Zhang, Tao; Li, Xiaolin; Chen, Pingyan Strong laws for extreme values from a class of Gaussian sequences. (Chinese. English summary) Zbl 1389.60047 J. Shandong Univ., Nat. Sci. 52, No. 2, 97-100 (2017). MSC: 60F15 60G70 PDFBibTeX XMLCite \textit{T. Zhang} et al., J. Shandong Univ., Nat. Sci. 52, No. 2, 97--100 (2017; Zbl 1389.60047)
Zhang, Tao; Chen, Pingyan; Sung, Soo Hak Convergence rates in the law of large numbers for long-range dependent linear processes. (English) Zbl 1378.60064 J. Inequal. Appl. 2017, Paper No. 241, 14 p. (2017). MSC: 60F15 PDFBibTeX XMLCite \textit{T. Zhang} et al., J. Inequal. Appl. 2017, Paper No. 241, 14 p. (2017; Zbl 1378.60064) Full Text: DOI
Hu, Di; Chen, Pingyan; Sung, Soo Hak Strong laws for weighted sums of \(\psi \)-mixing random variables and applications in errors-in-variables regression models. (English) Zbl 1370.60053 Test 26, No. 3, 600-617 (2017). MSC: 60F15 62G08 PDFBibTeX XMLCite \textit{D. Hu} et al., Test 26, No. 3, 600--617 (2017; Zbl 1370.60053) Full Text: DOI
Chen, Pingyan; Kong, Ningning; Sung, Soo Hak Complete convergence for weighted sums of i.i.d. random variables with applications in regression estimation and EV model. (English) Zbl 1369.60013 Commun. Stat., Theory Methods 46, No. 7, 3599-3613 (2017). MSC: 60F15 62G05 62G08 62G20 PDFBibTeX XMLCite \textit{P. Chen} et al., Commun. Stat., Theory Methods 46, No. 7, 3599--3613 (2017; Zbl 1369.60013) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak A Bernstein type inequality for NOD random variables and applications. (English) Zbl 1369.60014 J. Math. Inequal. 11, No. 2, 455-467 (2017). MSC: 60F15 60E15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, J. Math. Inequal. 11, No. 2, 455--467 (2017; Zbl 1369.60014) Full Text: DOI
Li, Wei; Chen, Pingyan; Sung, Soo Hak Remark on convergence rate for weighted sums of \(\rho ^*\)-mixing random variables. (English) Zbl 1362.60029 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 2, 507-513 (2017). MSC: 60F15 PDFBibTeX XMLCite \textit{W. Li} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 2, 507--513 (2017; Zbl 1362.60029) Full Text: DOI
Li, Wei; Chen, Pingyan; Sung, Soo Hak Complete moment convergence for Sung’s type weighted sums of \(B\)-valued random elements. (English) Zbl 1417.60021 Discrete Dyn. Nat. Soc. 2016, Article ID 1484160, 8 p. (2016). MSC: 60F15 60B12 PDFBibTeX XMLCite \textit{W. Li} et al., Discrete Dyn. Nat. Soc. 2016, Article ID 1484160, 8 p. (2016; Zbl 1417.60021) Full Text: DOI
Chen, P.; Sung, S. H. Complete convergence and strong laws of large numbers for weighted sums of negatively orthant dependent random variables. (English) Zbl 1374.60040 Acta Math. Hung. 148, No. 1, 83-95 (2016). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Acta Math. Hung. 148, No. 1, 83--95 (2016; Zbl 1374.60040) Full Text: DOI
Liu, Yang; Feng, Zhiwei; Chen, Pingyan Almost sure central limit theorem for arrays of random variables. (Chinese. English summary) Zbl 1363.60037 J. Shandong Univ., Nat. Sci. 51, No. 6, 24-29 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Shandong Univ., Nat. Sci. 51, No. 6, 24--29 (2016; Zbl 1363.60037) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak Generalized Marcinkiewicz-Zygmund type inequalities for random variables and applications. (English) Zbl 1351.60027 J. Math. Inequal. 10, No. 3, 837-848 (2016). MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, J. Math. Inequal. 10, No. 3, 837--848 (2016; Zbl 1351.60027) Full Text: DOI
Chen, Pingyan; Yan, Xiaoxia Some moment inequalities and applications. (Chinese. English summary) Zbl 1363.60006 Math. Appl. 29, No. 1, 7-14 (2016). MSC: 60E15 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{X. Yan}, Math. Appl. 29, No. 1, 7--14 (2016; Zbl 1363.60006)
Chen, Pingyan; Sung, Soo Hak On the strong laws of large numbers for weighted sums of random variables. (English) Zbl 1347.60022 Stat. Probab. Lett. 118, 87-93 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Stat. Probab. Lett. 118, 87--93 (2016; Zbl 1347.60022) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak A strong law of large numbers for nonnegative random variables and applications. (English) Zbl 1347.60021 Stat. Probab. Lett. 118, 80-86 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Stat. Probab. Lett. 118, 80--86 (2016; Zbl 1347.60021) Full Text: DOI
Qiu, Dehua; Chen, Pingyan Convergence for weighted sums of widely orthant dependent random variables. (English) Zbl 1345.60024 Commun. Stat., Theory Methods 45, No. 15, 4445-4453 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, Commun. Stat., Theory Methods 45, No. 15, 4445--4453 (2016; Zbl 1345.60024) Full Text: DOI
Chen, Pingyan; Ye, Xiaoqin; Hu, Tien-Chung A strong law and a law of the single logarithm for arrays of rowwise independent random variables. (English) Zbl 1336.60062 Stat. Probab. Lett. 110, 169-174 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Stat. Probab. Lett. 110, 169--174 (2016; Zbl 1336.60062) Full Text: DOI
Yi, Yanchun; Hu, Di; Chen, Pingyan On complete convergence for Stout’s type weighted sums of MOD sequence. (English) Zbl 1349.60052 Appl. Math., Ser. B (Engl. Ed.) 30, No. 3, 340-346 (2015). MSC: 60F15 PDFBibTeX XMLCite \textit{Y. Yi} et al., Appl. Math., Ser. B (Engl. Ed.) 30, No. 3, 340--346 (2015; Zbl 1349.60052) Full Text: DOI
Qiu, Dehua; Chen, Pingyan Complete moment convergence for product sums of sequence of extended negatively dependent random variables. (English) Zbl 1335.60042 J. Inequal. Appl. 2015, Paper No. 212, 15 p. (2015). MSC: 60F15 60G70 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, J. Inequal. Appl. 2015, Paper No. 212, 15 p. (2015; Zbl 1335.60042) Full Text: DOI
Qiu, Dehua; Chen, Pingyan Convergence for moving average processes under END set-up. (Chinese. English summary) Zbl 1340.60039 Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 4, 756-768 (2015). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 4, 756--768 (2015; Zbl 1340.60039)
Chen, Chuanyong; Chen, Pingyan Complete convergence for some weighted sums of \(B\)-valued random variables. (Chinese. English summary) Zbl 1340.60002 Acta Math. Appl. Sin. 38, No. 3, 526-534 (2015). MSC: 60B11 60F15 PDFBibTeX XMLCite \textit{C. Chen} and \textit{P. Chen}, Acta Math. Appl. Sin. 38, No. 3, 526--534 (2015; Zbl 1340.60002)
Chen, Pingyan; Yi, Jiaming; Sung, Soo Hak An extension of the Baum-Katz theorem to i.i.d. random variables with general moment conditions. (English) Zbl 1330.60051 J. Inequal. Appl. 2015, Paper No. 414, 9 p. (2015). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Inequal. Appl. 2015, Paper No. 414, 9 p. (2015; Zbl 1330.60051) Full Text: DOI
Qiu, Dehua; Chen, Pingyan; Duan, Zhenghua Complete convergence for weighted sums of \(\widetilde{\rho}\)-mixing random variable sequences. (Chinese. English summary) Zbl 1340.60040 Acta Math. Appl. Sin. 38, No. 1, 150-165 (2015). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} et al., Acta Math. Appl. Sin. 38, No. 1, 150--165 (2015; Zbl 1340.60040)
Qiu, Dehua; Liu, Xiangdong; Chen, Pingyan Complete moment convergence for maximal partial sums under NOD setup. (English) Zbl 1314.60082 J. Inequal. Appl. 2015, Paper No. 58, 12 p. (2015). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Qiu} et al., J. Inequal. Appl. 2015, Paper No. 58, 12 p. (2015; Zbl 1314.60082) Full Text: DOI
Chen, Pingyan; Ma, Xiaofang; Sung, Soo Hak On complete convergence and strong law for weighted sums of i.i.d. random variables. (English) Zbl 1469.60090 Abstr. Appl. Anal. 2014, Article ID 251435, 7 p. (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Abstr. Appl. Anal. 2014, Article ID 251435, 7 p. (2014; Zbl 1469.60090) Full Text: DOI
Qiu, Dehua; Wu, Qunying; Chen, Pingyan Complete convergence for negatively orthant dependent random variables. (English) Zbl 1325.60035 J. Inequal. Appl. 2014, Paper No. 145, 12 p. (2014). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Qiu} et al., J. Inequal. Appl. 2014, Paper No. 145, 12 p. (2014; Zbl 1325.60035) Full Text: DOI
Qiu, Dehua; Chen, Pingyan Chover’s law of iterated logarithm for weighted partial sums of NA random variables sequences. (Chinese. English summary) Zbl 1313.60044 Acta Math. Sci., Ser. A, Chin. Ed. 34, No. 3, 674-683 (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 34, No. 3, 674--683 (2014; Zbl 1313.60044)
Chen, Chuanyong; Ma, Xiaofang; Chen, Pingyan Strong law for the function of normalized sums and applications. (Chinese. English summary) Zbl 1313.60022 Appl. Math., Ser. A (Chin. Ed.) 29, No. 1, 69-77 (2014). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{C. Chen} et al., Appl. Math., Ser. A (Chin. Ed.) 29, No. 1, 69--77 (2014; Zbl 1313.60022)
Chen, Pingyan; Sung, Soo Hak A Baum-Katz theorem for i.i.d. random variables with higher order moments. (English) Zbl 1306.60020 Stat. Probab. Lett. 94, 63-68 (2014). Reviewer: Winfried Stute (Gießen) MSC: 60F15 60G50 60F05 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Stat. Probab. Lett. 94, 63--68 (2014; Zbl 1306.60020) Full Text: DOI
Qiu, De Hua; Chen, Ping Yan Complete and complete moment convergence for weighted sums of widely orthant dependent random variables. (English) Zbl 1296.60075 Acta Math. Sin., Engl. Ser. 30, No. 9, 1539-1548 (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{D. H. Qiu} and \textit{P. Y. Chen}, Acta Math. Sin., Engl. Ser. 30, No. 9, 1539--1548 (2014; Zbl 1296.60075) Full Text: DOI
Chen, Pingyan; Bai, Peng; Sung, Soo Hak The von Bahr-Esseen moment inequality for pairwise independent random variables and applications. (English) Zbl 1316.60028 J. Math. Anal. Appl. 419, No. 2, 1290-1302 (2014). MSC: 60E15 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Math. Anal. Appl. 419, No. 2, 1290--1302 (2014; Zbl 1316.60028) Full Text: DOI
Li, Wei; Chen, Pingyan; Hu, Tien-Chung Complete convergence for moving average processes associated to heavy-tailed distributions and applications. (English) Zbl 1294.60051 J. Math. Anal. Appl. 420, No. 1, 66-76 (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{W. Li} et al., J. Math. Anal. Appl. 420, No. 1, 66--76 (2014; Zbl 1294.60051) Full Text: DOI
Chen, Pingyan; Sung, Soo Hak On the strong convergence for weighted sums of negatively associated random variables. (English) Zbl 1291.60055 Stat. Probab. Lett. 92, 45-52 (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. H. Sung}, Stat. Probab. Lett. 92, 45--52 (2014; Zbl 1291.60055) Full Text: DOI
Qiu, Dehua; Chen, Pingyan Complete moment convergence for i.i.d. random variables. (English) Zbl 1292.60040 Stat. Probab. Lett. 91, 76-82 (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, Stat. Probab. Lett. 91, 76--82 (2014; Zbl 1292.60040) Full Text: DOI
Bai, P.; Chen, P.-Y.; Sung, S. H. On complete convergence and the strong law of large numbers for pairwise independent random variables. (English) Zbl 1299.60025 Acta Math. Hung. 142, No. 2, 502-518 (2014). Reviewer: István Fazekas (Debrecen) MSC: 60F15 PDFBibTeX XMLCite \textit{P. Bai} et al., Acta Math. Hung. 142, No. 2, 502--518 (2014; Zbl 1299.60025) Full Text: DOI
Wu, Qunying; Chen, Pingyan An improved result in almost sure central limit theorem for self-normalized products of partial sums. (English) Zbl 1284.60067 J. Inequal. Appl. 2013, Paper No. 129, 12 p. (2013). MSC: 60F15 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{P. Chen}, J. Inequal. Appl. 2013, Paper No. 129, 12 p. (2013; Zbl 1284.60067) Full Text: DOI
Qiu, Dehua; Chen, Pingyan; Antonini, Rita Giuliano; Volodin, Andrei On the complete convergence for arrays of rowwise extended negatively dependent random variables. (English) Zbl 1266.60055 J. Korean Math. Soc. 50, No. 2, 379-392 (2013). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Qiu} et al., J. Korean Math. Soc. 50, No. 2, 379--392 (2013; Zbl 1266.60055) Full Text: DOI
Chen, Ping Yan; Wang, Ding Cheng \(L^r\) convergence for \(B\)-valued random elements. (English) Zbl 1334.60005 Acta Math. Sin., Engl. Ser. 28, No. 4, 857-868 (2012). MSC: 60B12 60F25 PDFBibTeX XMLCite \textit{P. Y. Chen} and \textit{D. C. Wang}, Acta Math. Sin., Engl. Ser. 28, No. 4, 857--868 (2012; Zbl 1334.60005) Full Text: DOI
Gan, Shixin; Chen, Pingyan Some limit theorems for weighted sums of arrays of NOD random variables. (English) Zbl 1289.60034 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 6, 2388-2400 (2012). MSC: 60F15 60E15 PDFBibTeX XMLCite \textit{S. Gan} and \textit{P. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 6, 2388--2400 (2012; Zbl 1289.60034) Full Text: DOI
Zhang, Zhihua; Chen, Pingyan Moment complete convergence for weighted sums of \(\varphi\)-mixing random variables. (Chinese. English summary) Zbl 1274.60108 Chin. J. Appl. Probab. Stat. 28, No. 5, 471-478 (2012). MSC: 60F15 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{P. Chen}, Chin. J. Appl. Probab. Stat. 28, No. 5, 471--478 (2012; Zbl 1274.60108)
Qiu, Dehua; Chen, Pingyan Complete moment convergence for weighted sums of arrays of rowwise NA random variables. (English) Zbl 1274.60099 J. Math. Res. Appl. 32, No. 6, 723-734 (2012). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, J. Math. Res. Appl. 32, No. 6, 723--734 (2012; Zbl 1274.60099) Full Text: DOI
Xu, Min; Chen, Pingyan On inverse moments for a nonnegative \(\operatorname{NOD}\) sequence. (Chinese. English summary) Zbl 1265.60021 Acta Math. Sin., Chin. Ser. 55, No. 2, 201-206 (2012). MSC: 60E15 62E20 62G20 PDFBibTeX XMLCite \textit{M. Xu} and \textit{P. Chen}, Acta Math. Sin., Chin. Ser. 55, No. 2, 201--206 (2012; Zbl 1265.60021)
Chen, Ping Yan; Hu, Tien Chung Limiting behavior for random elements with heavy tail. (English) Zbl 1236.60033 Taiwanese J. Math. 16, No. 1, 217-236 (2012). MSC: 60F15 60F05 60F25 PDFBibTeX XMLCite \textit{P. Y. Chen} and \textit{T. C. Hu}, Taiwanese J. Math. 16, No. 1, 217--236 (2012; Zbl 1236.60033) Full Text: DOI Link
Qiu, Dehua; Chen, Pingyan Limiting behavior of weighted sums of \(\operatorname{NOD}\) random variables. (English) Zbl 1265.60056 J. Math. Res. Expo. 31, No. 6, 1081-1091 (2011). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{P. Chen}, J. Math. Res. Expo. 31, No. 6, 1081--1091 (2011; Zbl 1265.60056) Full Text: DOI
Chen, Lianglu; Chen, Pingyan On inverse moments for nonnegative \(\rho\)-mixing random variables. (Chinese. English summary) Zbl 1249.60060 J. Jinan Univ., Nat. Sci. Med. Ed. 32, No. 5, 459-461 (2011). MSC: 60F99 60E15 PDFBibTeX XMLCite \textit{L. Chen} and \textit{P. Chen}, J. Jinan Univ., Nat. Sci. Med. Ed. 32, No. 5, 459--461 (2011; Zbl 1249.60060)
Gan, Shixin; Chen, Pingyan; Qiu, Dehua The Rosenthal inequality for NOD sequences and its applications. (English) Zbl 1249.60022 Wuhan Univ. J. Nat. Sci. 16, No. 3, 185-189 (2011). MSC: 60E15 PDFBibTeX XMLCite \textit{S. Gan} et al., Wuhan Univ. J. Nat. Sci. 16, No. 3, 185--189 (2011; Zbl 1249.60022) Full Text: DOI
Chen, Pingyan; Li, Yuanmei Limiting behavior of moving average processes of martingale difference sequences. (Chinese. English summary) Zbl 1240.60056 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 1, 179-187 (2011). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{Y. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 1, 179--187 (2011; Zbl 1240.60056)
Chen, Pingyan; Hao, Chunyan A remark on the law of the logarithm for weighted sums of random variables with multidimensional indices. (English) Zbl 1227.60033 Stat. Probab. Lett. 81, No. 12, 1808-1812 (2011). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{C. Hao}, Stat. Probab. Lett. 81, No. 12, 1808--1812 (2011; Zbl 1227.60033) Full Text: DOI
Chen, Pingyan; Antonini, Rita Giuliano; Hu, Tien-Chung; Volodin, Andrei Limiting behaviour of moving average processes under \(\rho \)-mixing assumption. (English) Zbl 1237.60021 Note Mat. 30, No. 1, 23-31 (2010). Reviewer: Allan Gut (Uppsala) MSC: 60F15 60G48 PDFBibTeX XMLCite \textit{P. Chen} et al., Note Mat. 30, No. 1, 23--31 (2010; Zbl 1237.60021) Full Text: Link
Chen, Pingyan; Guan, Zongping Strong law for moving average processes of arrays. (Chinese. English summary) Zbl 1240.60035 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 6, 1394-1401 (2010). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{Z. Guan}, Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 6, 1394--1401 (2010; Zbl 1240.60035)
Gan, Shixin; Chen, Pingyan Some remarks for sequences of pairwise NQD random variables. (English) Zbl 1240.60063 Wuhan Univ. J. Nat. Sci. 15, No. 6, 467-470 (2010). MSC: 60F15 PDFBibTeX XMLCite \textit{S. Gan} and \textit{P. Chen}, Wuhan Univ. J. Nat. Sci. 15, No. 6, 467--470 (2010; Zbl 1240.60063) Full Text: DOI
Li, Wei; Chen, Pingyan Some limit results for \(B\)-valued \(\rho\)-mixing random elements. (Chinese. English summary) Zbl 1240.60039 Acta Math. Sin., Chin. Ser. 53, No. 5, 881-890 (2010). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Chen}, Acta Math. Sin., Chin. Ser. 53, No. 5, 881--890 (2010; Zbl 1240.60039)
Chen, Pingyan; Ordóñez Cabrera, Manuel; Volodin, Andrei \(L_{1}\)-convergence for weighted sums of some dependent random variables. (English) Zbl 1213.60057 Stochastic Anal. Appl. 28, No. 6, 928-936 (2010). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{P. Chen} et al., Stochastic Anal. Appl. 28, No. 6, 928--936 (2010; Zbl 1213.60057) Full Text: DOI
Chen, Pingyan; Chen, Ran A remark on LSL for weighted sums of i.i.d random elements. (English) Zbl 1196.60013 Stat. Probab. Lett. 80, No. 17-18, 1329-1334 (2010). MSC: 60B12 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{R. Chen}, Stat. Probab. Lett. 80, No. 17--18, 1329--1334 (2010; Zbl 1196.60013) Full Text: DOI
Hu, Tien-Chung; Chen, Ping Yan; Weber, N. C. A remark on the strong law for \(b\)-valued arrays of random elements. (English) Zbl 1196.60014 Bull. Aust. Math. Soc. 82, No. 1, 31-43 (2010). MSC: 60B12 60F15 60G50 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Bull. Aust. Math. Soc. 82, No. 1, 31--43 (2010; Zbl 1196.60014) Full Text: DOI
Chen, Pingyan; Hernández, Víctor; Urmeneta, Henar; Volodin, Andrei A note on complete convergence for arrays of rowwise independent Banach space valued random elements. (English) Zbl 1255.60009 Stochastic Anal. Appl. 28, No. 3, 565-575 (2010). MSC: 60B12 60F15 60G50 PDFBibTeX XMLCite \textit{P. Chen} et al., Stochastic Anal. Appl. 28, No. 3, 565--575 (2010; Zbl 1255.60009) Full Text: DOI
Chen, Ping Yan; Wang, Ding Cheng Complete moment convergence for sequence of identically distributed \(\varphi \)-mixing random variables. (English) Zbl 1205.60062 Acta Math. Sin., Engl. Ser. 26, No. 4, 679-690 (2010). Reviewer: Allan Gut (Uppsala) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{P. Y. Chen} and \textit{D. C. Wang}, Acta Math. Sin., Engl. Ser. 26, No. 4, 679--690 (2010; Zbl 1205.60062) Full Text: DOI
Chen, Pingyan; Hu, Tien-Chung; Volodin, Andrei Limiting behaviour of moving average processes under \(\varphi \)-mixing assumption. (English) Zbl 1154.60026 Stat. Probab. Lett. 79, No. 1, 105-111 (2009). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Stat. Probab. Lett. 79, No. 1, 105--111 (2009; Zbl 1154.60026) Full Text: DOI
Chen, Pingyan; Li, Fengling Limiting behavior of delayed sums of \(\varphi\)-mixing under a non-identical distribution setup. (English) Zbl 1199.60075 J. Math. Res. Expo. 28, No. 3, 628-636 (2008). Reviewer: George Stoica (Saint John) MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{F. Li}, J. Math. Res. Expo. 28, No. 3, 628--636 (2008; Zbl 1199.60075) Full Text: DOI
Gan, Shixin; Chen, Pingyan Strong stability of pairwise NQD random variable sequences. (Chinese. English summary) Zbl 1174.60331 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 4, 612-618 (2008). MSC: 60F15 PDFBibTeX XMLCite \textit{S. Gan} and \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 4, 612--618 (2008; Zbl 1174.60331)
Chen, Pingyan Limiting behavior of delayed sums under a non-identically distribution setup. (English) Zbl 1168.60333 An. Acad. Bras. Ciênc. 80, No. 4, 617-625 (2008). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{P. Chen}, An. Acad. Bras. Ciênc. 80, No. 4, 617--625 (2008; Zbl 1168.60333) Full Text: DOI
Chen, Pingyan; Liu, Xiangdong Complete moment convergence for sequence of identically distributed \(\rho\)-mixing random variables. (Chinese. English summary) Zbl 1174.60010 Acta Math. Sin., Chin. Ser. 51, No. 2, 281-290 (2008). MSC: 60F15 60E05 PDFBibTeX XMLCite \textit{P. Chen} and \textit{X. Liu}, Acta Math. Sin., Chin. Ser. 51, No. 2, 281--290 (2008; Zbl 1174.60010)
Gan, Shixin; Chen, Pingyan Some limit theorems for sequences of pairwise NQD random variables. (English) Zbl 1174.60330 Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 2, 269-281 (2008). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{S. Gan} and \textit{P. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 2, 269--281 (2008; Zbl 1174.60330) Full Text: DOI
Chen, Pingyan \(L^r\) convergence for pairwise NQD random variables. (Chinese. English summary) Zbl 1174.60314 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 3, 447-453 (2008). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 3, 447--453 (2008; Zbl 1174.60314)
Gan, Shixin; Chen, Pingyan Strong convergence rate of weighted sums for NOD sequences. (Chinese. English summary) Zbl 1164.60015 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 2, 283-290 (2008). Reviewer: Yimin Xiao (East Lansing) MSC: 60F15 PDFBibTeX XMLCite \textit{S. Gan} and \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 2, 283--290 (2008; Zbl 1164.60015)
Chen, Pingyan; Liu, Xiangdong Some limiting results for sequences of random vectors with operator stable law. (Chinese. English summary) Zbl 1164.60014 Acta Math. Sin., Chin. Ser. 51, No. 1, 197-208 (2008). MSC: 60F15 60F10 60E07 PDFBibTeX XMLCite \textit{P. Chen} and \textit{X. Liu}, Acta Math. Sin., Chin. Ser. 51, No. 1, 197--208 (2008; Zbl 1164.60014)
Chen, Pingyan; Wang, Dingcheng Convergence rates for probabilities of moderate deviations for moving average processes. (English) Zbl 1159.60015 Acta Math. Sin., Engl. Ser. 24, No. 4, 611-622 (2008). Reviewer: Peter Becker-Kern (Dortmund) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{P. Chen} and \textit{D. Wang}, Acta Math. Sin., Engl. Ser. 24, No. 4, 611--622 (2008; Zbl 1159.60015) Full Text: DOI
Chen, P.; Hu, T.-C.; Liu, X.; Volodin, A. On complete convergence for arrays of row-wise negatively associated random variables. (English) Zbl 1146.60025 Theory Probab. Appl. 52, No. 2, 323-328 (2008) and Teor. Veroyatn. Primen. 52, No. 2, 393-397 (2007). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Theory Probab. Appl. 52, No. 2, 323--328 (2008; Zbl 1146.60025) Full Text: DOI
Chen, Pingyan; Gan, Shixin On moments of the maximum of normed partial sums of \(\rho \)-mixing random variables. (English) Zbl 1163.60006 Stat. Probab. Lett. 78, No. 10, 1215-1221 (2008). Reviewer: Ferenc Móricz (Szeged) MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{P. Chen} and \textit{S. Gan}, Stat. Probab. Lett. 78, No. 10, 1215--1221 (2008; Zbl 1163.60006) Full Text: DOI
Chen, Pingyan On the law of the iterated logarithm for products of sums. (Chinese. English summary) Zbl 1150.60338 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 1, 66-72 (2008). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 1, 66--72 (2008; Zbl 1150.60338)
Chen, P.; Hu, T.-C.; Volodin, A. Limiting behaviour of moving average processes under negative association assumption. (English) Zbl 1199.60074 Teor. Jmovirn. Mat. Stat. 77, 149-160 (2007) and Theory Probab. Math. Stat. 77, 165-176 (2008). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Teor. Ĭmovirn. Mat. Stat. 77, 149--160 (2007; Zbl 1199.60074) Full Text: Link