Strong convergence for weighted sums of END random variables under the sub-linear expectations
作者：
Feng, Fengxiang* ;Huang, Haiwu
期刊：
Communications in Statistics - Theory and Methods ,2022年51(22):7885-7896 ISSN：0361-0926
通讯作者：
Feng, Fengxiang
作者机构：
[Feng, Fengxiang] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China.;[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.
通讯机构：
[Feng, Fengxiang] G;Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China.
关键词：
Sub-linear expectation;complete convergence;extended negatively dependent random variables;60F15
摘要：
In this article, we study strong limit theorems for weighted sums of extended negatively dependent (END, for short) random variables under the sub-linear expectations. We establish some general complete convergence theorems for weighted sums of END random variables under the sub-linear expectations. Our results partly generalize and improve the corresponding ones previously obtained by Cai (Metrika, 68:323-331, 2008), Huang and Wang (J. Inequal. Appl. 233, doi:10.1186/1029-242X-2012-233, 2012) and Wang etal. (RACSAM, 106:235-245, 2012) in the classical probability space to the sub-linear expectation space under weaker moment conditions. © 2021 Taylor & Francis Group, LLC.
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英文
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Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations
作者：
Feng, Fengxiang;Wang, Dingcheng* ;Wu, Qunying;Huang, Haiwu
期刊：
Communications in Statistics - Theory and Methods ,2021年50(3):594-608 ISSN：0361-0926
通讯作者：
Wang, Dingcheng
作者机构：
[Feng, Fengxiang; Wang, Dingcheng] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;[Feng, Fengxiang; Wu, Qunying] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China;[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China
通讯机构：
[Wang, Dingcheng] U;Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China.
关键词：
Complete convergence;complete moment convergence;sub-linear expectations;negatively dependent random variables;60F15
摘要：
In this article, we study complete and complete moment convergence theorems for arrays of rowwise negatively dependent random variables under the sub-linear expectations. The complete and complete moment convergence theorems in the sense of non-additive capacities are established for arrays of rowwise negatively dependent random variables. Our result improves the corresponding result of Wang et al. relative to the classical probability space.
语种：
英文
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湖南省经济增长与环境质量的EKC计量分析
作者：
邹航;龚淑聪;梁西米;黄海午
期刊：
价值工程 ,2020年39(13):86-87 ISSN：1006-4311
作者机构：
衡阳师范学院数学与统计学院,衡阳421002;[梁西米; 邹航; 黄海午; 龚淑聪] 衡阳师范学院
关键词：
经济增长;环境质量
摘要：
以2000-2016年湖南省经济与环境各指标数据为样本,基于环境库兹涅茨曲线(EKC)理论,对湖南省经济增长与环境质量之间的相互关系进行实证研究.
语种：
中文
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转型发展视阈下地方高校数学类专业应用型人才培养模式的构建——以衡阳师范学院为例
作者：
罗李平;杨柳;雷丹;黄海午;谢琳
期刊：
衡阳师范学院学报 ,2020年41(06):30-34 ISSN：1673-0313
作者机构：
衡阳师范学院 数学与统计学院,湖南 衡阳 421002;长沙市周南中学,湖南 长沙 410008;[罗李平; 谢琳; 黄海午; 杨柳] 衡阳师范学院;[雷丹] 长沙市周南中学
关键词：
转型发展;地方高校;应用型人才;培养模式;构建;数学类专业
摘要：
该文概述了地方高校应用型人才培养过程中存在的问题,在此基础上结合衡阳师范学院人才培养的实际,从推行"工学交替"做法、调整专业结构和课程设置、共建实践教学基地和联合实验室、加强"双师型"教师队伍建设、改进教学评价机制五个方面探讨了地方高校应用型人才培养模式的构建路径,并对衡阳师范学院数学类专业人才培养模式作了简要的典型案例分析.
语种：
中文
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ON THE CONVERGENCE OF SERIES FOR ROWWISE SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
作者：
Huang, Haiwu* ;Zhang, Qingxia
期刊：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY ,2020年57(3):607-622 ISSN：1015-8634
通讯作者：
Huang, Haiwu
作者机构：
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
NSD random variables;probability convergence of series
摘要：
In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.
语种：
英文
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On complete moment convergence for weighted sums of negatively superadditive dependent random variables
作者：
Huang, Haiwu* ;Lu, Xuewen
期刊：
Applications of Mathematics ,2020年65(4):355-377 ISSN：0862-7940
通讯作者：
Huang, Haiwu
作者机构：
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Lu, Xuewen] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
NSD random variables;complete moment convergence;weighted sum;equivalent conditions
摘要：
In this work, the complete moment convergence and complete convergence for weighted sums of negatively superadditive dependent (NSD) random variables are studied, and some equivalent conditions of these strong convergences are established. These main results generalize and improve the corresponding theorems of Baum and Katz (1965) and Chow (1988) to weighted sums of NSD random variables without the assumption of identical distribution. As an application, a Marcinkiewicz-Zygmund-type strong law of large numbers for weighted sums of NSD random variables is obtained. © 2020, Mathematical Institute, Academy of Sciences of Cz.
语种：
英文
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Convergence of the tail probability for weighted sums of negatively orthant dependent random variables
作者：
Huang, Haiwu* ;Li, Linyan;Lu, Xuewen
期刊：
KYBERNETIKA ,2020年56(4):646-661 ISSN：0023-5954
通讯作者：
Huang, Haiwu
作者机构：
[Li, Linyan; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Lu, Xuewen] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
negatively orthant dependent random variables;the tail probability;strong convergence
摘要：
In this research, strong convergence properties of the tail probability for weighted sums of negatively orthant dependent random variables are discussed. Some sharp theorems for weighted sums of arrays of rowwise negatively orthant dependent random variables are established. These results not only extend the corresponding ones of Cai [4], Wang et al. [19] and Shen [13], but also improve them, respectively. © 2020 Institute of Information Theory and Automation of The Czech Academy of Sciences. All rights reserved.
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英文
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COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
作者：
Huang, Haiwu* ;Zhang, Qingxia
期刊：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY ,2019年56(4):1007-1025 ISSN：1015-8634
通讯作者：
Huang, Haiwu
作者机构：
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
arrays of rowwise END random variables;complete convergence;complete moment convergence;weighted sums
摘要：
In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai [2], Wang et al. [17] and Shen [14], but also improve them, respectively.
语种：
英文
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衡阳市县域经济发展水平差异的测度
作者：
邹航;龚淑聪;梁西米;黄海午
期刊：
区域治理 ,2019年(48):221-223 ISSN：2096-4595
作者机构：
衡阳师范学院数学与统计学院;[梁西米; 邹航; 黄海午; 龚淑聪] 衡阳师范学院
关键词：
县域经济;因子分析;聚类分析
摘要：
以衡阳市7个县域的12项经济指标数据为样本,利用因子分析和聚类分析分别对其进行研究和分类,探究各县域经济发展的差异水平和主要影响因素,并提出相关建设性提升策略。
语种：
中文
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Complete convergence and complete moment convergence for arrays of rowwise asymptotically almost negatively associated random variables
作者：
Huang, Haiwu* ;Zhang, Qingxia;Zoua, Hang;Wu, Xiongtao
期刊：
FILOMAT ,2019年33(1):81-92 ISSN：0354-5180
通讯作者：
Huang, Haiwu
作者机构：
[Zoua, Hang; Wu, Xiongtao; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
Arrays of rowwise asymptotically almost negatively associated random variables;Complete convergence;Complete moment convergence
摘要：
In this article, the authors investigate the complete convergence and complete moment convergence of the maximum partial sums for arrays of rowwise asymptotically almost negatively associated random variables without assumptions of identical distribution and stochastic domination, and obtain some new results, which not only generalize the corresponding theorems of Hu and Taylor (1997), Gan and Chen (2007),Wu (2012), but also improve them, respectively. © 2019, University of Nis. All rights reserved.
语种：
英文
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Complete Moment Convergence for Weighted Sums of Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables
作者：
黄海午;邹航;易艳春
期刊：
数学进展 ,2019年48(1):110-120 ISSN：1000-0917
作者机构：
衡阳师范学院数学与统计学院,衡阳,湖南,421002;智能信息处理与应用湖南省重点实验室,衡阳,湖南,421002;中南大学数学与统计学院,长沙,湖南,410012;[易艳春; 邹航; 黄海午] 衡阳师范学院
关键词：
行为渐近几乎负相关随机变量阵列;完全矩收敛性;加权和
摘要：
本文考虑行为渐近几乎负相关(AANA)随机变量阵列加权和的完全矩收敛性,在未同分布假设下建立了完全矩收敛性的一些充分条件.获得的主要结果分别推广和改进了负相关随机变量和渐近几乎负相关随机变量的相应结论.
语种：
中文
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Equivalent conditions of the complete convergence for weighted sums of NSD random variables
作者：
Huang, Haiwu* ;Zou, Hang;Zhang, Qingxia
期刊：
Communications in Statistics - Theory and Methods ,2019年48(18):4675-4689 ISSN：0361-0926
通讯作者：
Huang, Haiwu
作者机构：
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.;[Zou, Hang] Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
关键词：
60F15;complete convergence;equivalent conditions;NSD random variables;weighted sums
摘要：
In this paper, we consider the complete convergence for weighted sums of negatively superadditive-dependent (NSD) random variables without assumptions of identical distribution. Some sufficient and necessary conditions to prove the complete convergence for weighted sums of NSD random variables are presented, which extend and improve the corresponding ones of Naderi etal. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of NSD random variables is also achieved. © 2018, © 2018 Taylor & Francis Group, LLC.
语种：
英文
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Equivalent conditions of complete convergence for weighted sums of ANA random variables
作者：
Huang, Haiwu*
期刊：
Mathematica Slovaca ,2018年68(6):1495-1505 ISSN：0139-9918
通讯作者：
Huang, Haiwu
作者机构：
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
ANA random variables;complete convergence;weighted sums
摘要：
In this paper, the author investigates the complete convergence for weighted sums of asymptotically negatively associated (ANA) random variables with different distributions, and obtains some equivalent conditions of complete convergence theorem for weighted sums as well as summation of ANA cases. These results generalize and improve the corresponding ones obtained by Baum and Katz (1965), Peligrad and Gut (1999) and Cai (2006), respectively. © 2018 Mathematical Institute Slovak Academy of Sciences.
语种：
英文
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Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
作者：
Huang, Haiwu* ;Zhang, Qingxia;Wu, Xiongtao
期刊：
JOURNAL OF INEQUALITIES AND APPLICATIONS ,2018年2018(1):1-13 ISSN：1025-5834
通讯作者：
Huang, Haiwu
作者机构：
[Wu, Xiongtao; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
关键词：
ANA random variables;Complete convergence;Weighed sums;Equivalent conditions
摘要：
In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones. © 2018, The Author(s).
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英文
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基于Fuzzy AHP的《统计学基础》课程教学质量评价研究
作者：
黄海午;肖凯平;侯娟
期刊：
课程教育研究 ,2018年(46):198-199 ISSN：2095-3089
作者机构：
衡阳师范学院数学与统计学院;衡阳市第十六中学
关键词：
教学质量评价;层次分析法;模糊综合评价法
摘要：
通过构建教师教学质量评价指标体系,设计调查问卷,收集、整理相关数据,运用模糊层次分析法,对教师教学质量进行综合评价,并以《统计学基础》课程为例,演示模型的算法设计和数据分析具体过程。
语种：
中文
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$\tilde \varphi $混合序列加权和的强极限收敛定理
作者：
黄海午;邹航;易艳春
期刊：
高校应用数学学报 ,2018年33(1):59-66 ISSN：1000-4424
作者机构：
[黄海午; 邹航; 易艳春] 衡阳师范学院数学与统计学院;[黄海午; 邹航; 易艳春] 智能信息处理与应用湖南省重点实验室
关键词：
$\tilde \varphi $混合序列;完全矩收敛性;完全收敛性;加权和
摘要：
利用$\tilde \varphi $混合序列的矩不等式和随机变量截尾的方法,研究了不同分布$\tilde \varphi $混合序列加权和完全矩收敛和完全收敛等性质,得到了其加权和情形下的强极限收敛定理.所获主要结果推广和改进了葛梅梅等人(高校应用数学学报,2013,28(4):424-430)关于$\tilde \varphi $混合序列加权和强收敛性的相应结论.
语种：
中文
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A note on the strong convergence for weighted sums of ρ*-mixing random variables
作者：
Huang, Haiwu* ;Zou, Hang;Feng, Yanhong;Feng, Fengxiang
期刊：
JOURNAL OF MATHEMATICAL INEQUALITIES ,2018年12(2):507-516 ISSN：1846-579X
通讯作者：
Huang, Haiwu
作者机构：
[Zou, Hang; Feng, Yanhong; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Feng, Fengxiang] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
rho* -mixing random variables;complete moment convergence;weighted sums
摘要：
In this work, the authors investigate the strong convergence for weighted sums of ρ* - mixing random variables and obtain an improved convergence theorem so called the complete moment convergence in some sense. The result archived not only generalizes the corresponding ones of Sung (Stat. Papers 52: 447-454 (2011)), Zhou et al. (J. Inequal. Appl. 2011, Article ID 157816 (2011)), Sung (Stat. Papers 54: 773-781 (2013)) and Wu et al. (Lith. Math. J. 54 (2): 220-228 (2014)), but also improves them, respectively. © Element, Zagreb.
语种：
英文
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翻转课堂教学模式初探——以数理统计课程为例
作者：
易艳春;黄海午;吴雄韬
期刊：
现代职业教育 ,2018年(25):110-111 ISSN：2096-0603
作者机构：
衡阳师范学院数学与统计学院,湖南 衡阳,421002;[易艳春; 吴雄韬; 黄海午] 衡阳师范学院
关键词：
翻转课堂;数理统计;教学模式
摘要：
讨论翻转课堂教学的作用和实施步骤。以数理统计课程中的最大似然估计和EM算法为例,给出翻转课堂教学的具体实施过程和实施原则,从而提升数理统计课程的教学效率和学生学习的积极性。
语种：
中文
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我国风力发电水平发展趋势的统计分析
作者：
程浩;黄海午;陶其林
期刊：
科技创新与应用 ,2017年(2):38-39 ISSN：2095-2945
作者机构：
衡阳师范学院 数学与统计学院,湖南 衡阳,421002;[黄海午; 程浩; 陶其林] 衡阳师范学院
关键词：
风力发电;聚类分析;时间序列分析
摘要：
选取2001-2014年31个省市风力发电总装机并网容量为指标,运用聚类分析对我国31个省市的风力发电发展水平进行分类;运用时间序列分析对31个省市未来三年的风力发电总装机并网容量进行预测,得到相关结果。
语种：
中文
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基于模糊综合评价法在教师课堂教学质量评估中的应用
作者：
黄海午;陶其林;程浩
期刊：
教育教学论坛 ,2017年(13):200-202 ISSN：1674-9324
作者机构：
衡阳师范学院 数学与统计学院,湖南 衡阳,421002;[黄海午; 程浩; 陶其林] 衡阳师范学院
关键词：
教学质量;模糊综合评价法;显著性检验;评价指标
摘要：
本文选取了教学内容、教学态度、教学语言、教学方式以及教学效果5个评价指标,通过设计调查问卷,收集数据.同时,赋予评价指标不同权重,利用模糊综合评价法,对3位教师课堂教学质量进行综合评价,并对不同性别学生的评价结果进行显著性检验.
语种：
中文
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