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1
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Huang H, Yuan Y, Wang W, Zeng H. On complete moment convergence for the maximal weighted sums of NSD random variables. COMMUN STAT-THEOR M 2023. [DOI: 10.1080/03610926.2022.2163368] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- Haiwu Huang
- School of Science, Guilin University of Aerospace Technology, Guilin, P.R. China
| | - Yuan Yuan
- School of Science, Guilin University of Aerospace Technology, Guilin, P.R. China
| | - Wei Wang
- School of Big Data and Artificial Intelligence, Chizhou University, Chizhou, P.R. China
| | - Hongguo Zeng
- Library, Guilin University of Aerospace Technology, Guilin, P.R. China
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2
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Tang Z, Zhang Y, Liu W. Limit distribution for products of sums of partial sums of linear processes generated by NSD sequence. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2022.2104874] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Zhiqiang Tang
- Department of Mathematics, Dalian Maritime University, Dalian, China
| | - Yong Zhang
- School of Mathematics, Jilin University, Changchun, China
| | - Wei Liu
- School of Mathematics, Jilin University, Changchun, China
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3
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Ding X. The chover-type law of iterated logarithm for the weighted sums of negatively superadditive dependent random variables. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2022.2097696] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Xue Ding
- School of Mathematics, Jilin University, Changchun, China
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4
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Lu C, Qi J, Wang R, Wang X. Complete moment convergence for randomly weighted sums of negatively superadditive dependent random variables. COMMUN STAT-SIMUL C 2022. [DOI: 10.1080/03610918.2022.2093371] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Chao Lu
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
| | - Jibing Qi
- School of Mathematics and Statistics, Hefei Normal University, Hefei, P.R. China
| | - Rui Wang
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
| | - Xuejun Wang
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
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5
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Bertin K, Torres S, Viitasaari L. Least-square estimators in linear regression models under negatively superadditive dependent random observations. STATISTICS-ABINGDON 2021. [DOI: 10.1080/02331888.2021.1993854] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Karine Bertin
- CIMFAV-INGEMAT, Universidad de Valparaíso, Valparaíso, Chile
| | - Soledad Torres
- CIMFAV-INGEMAT, Universidad de Valparaíso, Valparaíso, Chile
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6
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Yu Y, Liu X, Liu L, Sief M. The adaptivity of thresholding wavelet estimators in heteroscedastic nonparametric model with negatively super-additive dependent errors. J Korean Stat Soc 2020. [DOI: 10.1007/s42952-020-00049-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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7
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Huang H, Zou H, Zhang Q. Equivalent conditions of the complete convergence for weighted sums of NSD random variables. COMMUN STAT-THEOR M 2019. [DOI: 10.1080/03610926.2018.1500601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Haiwu Huang
- College of Mathematics and Statistics, Hengyang Normal University, Hengyang, P.R. China
- Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, P.R. China
| | - Hang Zou
- School of Mathematics and Statistics, Central South University, Changsha, P.R. China
| | - Qingxia Zhang
- School of Sciences, Southwest Petroleum University, Chengdu, P.R. China
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8
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Yang W, Yang L, Wei D, Hu S. The laws of large numbers for Pareto-type random variables with infinite means. COMMUN STAT-THEOR M 2019. [DOI: 10.1080/03610926.2018.1473602] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Wenzhi Yang
- School of Mathematical Sciences, Anhui University, Hefei, PR China
- School of Mathematical and Physical Sciences, Nanyang Technological University, Singapore
| | - Lei Yang
- School of Mathematical Sciences, Anhui University, Hefei, PR China
| | - Da Wei
- School of Mathematical Sciences, Anhui University, Hefei, PR China
| | - Shuhe Hu
- School of Mathematical Sciences, Anhui University, Hefei, PR China
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9
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Chen M, Chen K, Wang Z, Lu Z, Wang X. Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables. COMMUN STAT-THEOR M 2019. [DOI: 10.1080/03610926.2018.1554136] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Meiqian Chen
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
| | - Kan Chen
- School of Mathematics and Statistics, Chaohu University, Hefei, P.R. China
| | - Zijian Wang
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
| | - Zhengliang Lu
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
| | - Xuejun Wang
- School of Mathematical Sciences, Anhui University, Hefei, P.R. China
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10
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Wang X, Wu Y, Hu S. Complete moment convergence for double-indexed randomly weighted sums and its applications. STATISTICS-ABINGDON 2018. [DOI: 10.1080/02331888.2018.1436548] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Xuejun Wang
- School of Mathematical Sciences, Anhui University, Hefei, People's Republic of China
| | - Yi Wu
- School of Mathematical Sciences, Anhui University, Hefei, People's Republic of China
| | - Shuhe Hu
- School of Mathematical Sciences, Anhui University, Hefei, People's Republic of China
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11
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Meng B, Wang D, Wu Q. Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables. COMMUN STAT-THEOR M 2017. [DOI: 10.1080/03610926.2017.1364391] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Bing Meng
- School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, PR China
- College of Science, Guilin University of Technology, Guilin, Guangxi, PR China
| | - Dingcheng Wang
- School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan, PR China
| | - Qunying Wu
- College of Science, Guilin University of Technology, Guilin, Guangxi, PR China
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12
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Meng B, Wang D, Wu Q. On the strong convergence for weighted sums of negatively superadditive dependent random variables. JOURNAL OF INEQUALITIES AND APPLICATIONS 2017; 2017:269. [PMID: 29104407 PMCID: PMC5660194 DOI: 10.1186/s13660-017-1530-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/12/2017] [Accepted: 09/28/2017] [Indexed: 06/07/2023]
Abstract
In this article, some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical distribution. The results not only generalize the corresponding ones of Cai (Metrika 68:323-331, 2008) and Sung (Stat. Pap. 52:447-454, 2011), but also extend and improve the corresponding one of Chen and Sung (Stat. Probab. Lett. 92:45-52, 2014).
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Affiliation(s)
- Bing Meng
- School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731 P.R. China
- College of Science, Guilin University of Technology, Guilin, Guangxi 541004 P.R. China
| | - Dingcheng Wang
- School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731 P.R. China
| | - Qunying Wu
- College of Science, Guilin University of Technology, Guilin, Guangxi 541004 P.R. China
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13
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Yu Y, Hu H, Liu L, Huang S. M-test in linear models with negatively superadditive dependent errors. JOURNAL OF INEQUALITIES AND APPLICATIONS 2017; 2017:235. [PMID: 29026280 PMCID: PMC5610259 DOI: 10.1186/s13660-017-1509-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/26/2016] [Accepted: 08/26/2017] [Indexed: 06/07/2023]
Abstract
This paper is concerned with the testing hypotheses of regression parameters in linear models in which errors are negatively superadditive dependent (NSD). A robust M-test base on M-criterion is proposed. The asymptotic distribution of the test statistic is obtained and the consistent estimates of the redundancy parameters involved in the asymptotic distribution are established. Finally, some Monte Carlo simulations are given to substantiate the stability of the parameter estimates and the power of the test, for various choices of M-methods, explanatory variables and different sample sizes.
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Affiliation(s)
- Yuncai Yu
- State Key Laboratory of Mechanics and Control of Mechanical Structures, Institute of Nano Science and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016 China
| | - Hongchang Hu
- Department of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002 China
| | - Ling Liu
- Department of Information Science and Technology, Donghua University, Shanghai, 201600 China
| | - Shouyou Huang
- Department of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002 China
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14
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Wang X, Wu Y, Hu S. Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors. ASTA ADVANCES IN STATISTICAL ANALYSIS 2016. [DOI: 10.1007/s10182-016-0286-8] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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15
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Shen A, Wang X, Zhu H. Convergence properties for weighted sums of NSD random variables. COMMUN STAT-THEOR M 2016. [DOI: 10.1080/03610926.2014.881492] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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16
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Shen A, Wang X. Kaplan–Meier estimator and hazard estimator for censored negatively superadditive dependent data. STATISTICS-ABINGDON 2015. [DOI: 10.1080/02331888.2015.1038269] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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17
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Wang X, Hu S. On the Strong Consistency of M-Estimates in Linear Models for Negatively Superadditive Dependent Errors. AUST NZ J STAT 2015. [DOI: 10.1111/anzs.12117] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Xinghui Wang
- Department of Statistics; Anhui University; Hefei 230039 China
| | - Shuhe Hu
- Department of Statistics; Anhui University; Hefei 230039 China
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18
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Wang X, Shen A, Chen Z, Hu S. Complete convergence for weighted sums of NSD random variables and its application in the EV regression model. TEST-SPAIN 2014. [DOI: 10.1007/s11749-014-0402-6] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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19
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Shen A, Zhang Y, Volodin A. Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables. METRIKA 2014. [DOI: 10.1007/s00184-014-0503-y] [Citation(s) in RCA: 54] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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20
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Wang X, Deng X, Zheng L, Hu S. Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications. STATISTICS-ABINGDON 2013. [DOI: 10.1080/02331888.2013.800066] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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21
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Eghbal N, Amini M, Bozorgnia A. On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables. Stat Probab Lett 2011. [DOI: 10.1016/j.spl.2011.03.005] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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