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Majorization Properties for Certain Classes of Analytic Functions Involving a Generalized Diferential Operator 认领 引用 被引量:11
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作者 Huo TANG Guantie DENG Shuhai LI 《Journal of Mathematical Research with Applications》 CSCD 2013年第5期578-586,共9页
In this paper, we introduce new subclasses Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l(α,β)of certain p-valent analytic functions defined by a generalized differential operator. Majorizationproperties for functions bel... In this paper, we introduce new subclasses Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l(α,β)of certain p-valent analytic functions defined by a generalized differential operator. Majorizationproperties for functions belonging to the classes Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l(α,β)are investigated. Also, we point out some new or known consequences of our main results. 展开更多
关键词 analytic functions starlike functions β-spiral functions subordination majorization property differential operator.
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Majorization Problems for Some Subclasses of Starlike Functions 认领 引用 被引量:2
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作者 Huo TANG Guantie DENG 《Journal of Mathematical Research with Applications》 CSCD 2019年第2期153-159,共7页
In this article, we study several majorizaton properties for the subclasses SL~*,SR~*(a, b), BS~*(α), S_c~*, S_q~* and S_R~* of starlike functions. Meanwhile, some special cases of our main results are given.
关键词 analytic function subordination majorization starlike function
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Majorization and Fekete-Szegö Problems for Multivalent Meromorphic Functions Associated with the Mittag-Leffler Function 认领 引用
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作者 LONG Pin-hong GANGADHARAN Murugusundaramoorthy +1 位作者 HAN Hui-li WANG Wen-shuai 《Chinese Quarterly Journal of Mathematics》 2022年第2期111-123,共13页
The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclas... The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclass the corresponding coefficient estimates and some Fekete-Szegö type inequalities are obtained. Moreover we point out some new or known consequences of our main results. 展开更多
关键词 Meromorphic function Majorization problem Hadamard product(convolution) Mittag-Leer function Fekete-Szegöinequality
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Extended Lorenz majorization and frequencies of distances in an undirected network 认领 引用
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作者 Leo Egghe 《Journal of Data and Information Science》 CSCD 2024年第1期1-10,共10页
Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes t... Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes the one of a chain.As a consequence,the average and median distances in any such network are smaller than or equal to those of a chain.Research limitations:We restricted our investigations to undirected,unweighted networks.Practical implications:We are convinced that these results are useful in the study of small worlds and the so-called six degrees of separation property.Originality/value:To the best of our knowledge our research contains new network results,especially those related to frequencies of distances. 展开更多
关键词 majorization Lorenz curves networks shortest path distance graphs
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Majorization Properties for Certain New Classes of Multivalent Meromorphic Functions Defined by Slgean Operator 认领 引用 被引量:1
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作者 Shuhai LI Lina MA 《Journal of Mathematical Research with Applications》 CSCD 2014年第3期316-322,共7页
In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applicat... In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applications of our main result to the other classes of multivalent meromorphic functions. 展开更多
关键词 analytic functions multivalent functions meromorphic functions subordination majorization property.
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Complementarity between quantum coherence and mixedness:a majorization approach 认领 引用
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作者 Yanet Alvarez Marcelo Losada +1 位作者 Mariela Portesi Gustavo M Bosyk 《Communications in Theoretical Physics》 SCIE CAS CSCD 2023年第5期73-83,共11页
Quantum coherence is a relevant resource for various quantum information processing tasks,but it is fragile since it is generally affected by environmental noise.This is reflected in the loss of purity of the system,w... Quantum coherence is a relevant resource for various quantum information processing tasks,but it is fragile since it is generally affected by environmental noise.This is reflected in the loss of purity of the system,which in turn limits the amount of quantum coherence of it.As a consequence,a complementarity relation between coherence and mixedness arises.Previous works characterize this complementarity through inequalities between theℓ1-norm of coherence and linear entropy,and between the relative entropy of coherence and von Neumann entropy.However,coherence-mixedness complementarity is expected to be a general feature of quantum systems,regardless of the measures used.Here,an alternative approach to coherence-mixedness complementarity,based on majorization theory,is proposed.Vectorial quantifiers of coherence and mixedness,namely the coherence vector and the spectrum,respectively,are used,instead of scalar measures.A majorization relation for the tensor product of both vectorial quantifiers is obtained,capturing general aspects of the trade-off between coherence and mixedness.The optimal bound for qubit systems and numerical bounds for qutrit systems are analyzed.Finally,coherence-mixedness complementarity relations are derived for a family of symmetric,concave and additive functions.These results provide a deeper insight into the relation between quantum coherence and mixedness. 展开更多
关键词 coherence mixedness complementarity majorization
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The Majorization Order on Monomials and Termination of the Successive Difference Substitutions 认领 引用
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作者 Jia XU Yong YAO 《Journal of Mathematical Research with Applications》 CSCD 2015年第2期229-236,共8页
We introduce a concept for the majorization order on monomials. With the help of this order, we derive a necessary condition on the positive termination of a general successive difference substitution algorithm (KSDS... We introduce a concept for the majorization order on monomials. With the help of this order, we derive a necessary condition on the positive termination of a general successive difference substitution algorithm (KSDS) for an input form f. 展开更多
关键词 successive difference substitution algorithm majorization order on monomials termination positive semi-definite form
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Majorization Results and Coefficients Bounds for a Class of Univalent Functions Associated with Operator 认领 引用
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作者 XIONG Liang-peng 《Chinese Quarterly Journal of Mathematics》 2017年第2期142-151,共10页
In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as... In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a_2| and |a_3| for functions in*n,G∑ a,λ(A_1, B_1, A_2, B_2, α_1, α_2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed. 展开更多
关键词 analytic functions integral operator majorization subordination bi-univalent functions
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A New Algorithm for Generalized Least Squares Factor Analysis with a Majorization Technique 认领 引用
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作者 Kohei Adachi 《Open Journal of Statistics》 2015年第3期165-172,共8页
Factor analysis (FA) is a time-honored multivariate analysis procedure for exploring the factors underlying observed variables. In this paper, we propose a new algorithm for the generalized least squares (GLS) estimat... Factor analysis (FA) is a time-honored multivariate analysis procedure for exploring the factors underlying observed variables. In this paper, we propose a new algorithm for the generalized least squares (GLS) estimation in FA. In the algorithm, a majorization step and diagonal steps are alternately iterated until convergence is reached, where Kiers and ten Berge’s (1992) majorization technique is used for the former step, and the latter ones are formulated as minimizing simple quadratic functions of diagonal matrices. This procedure is named a majorizing-diagonal (MD) algorithm. In contrast to the existing gradient approaches, differential calculus is not used and only elmentary matrix computations are required in the MD algorithm. A simuation study shows that the proposed MD algorithm recovers parameters better than the existing algorithms. 展开更多
关键词 Exploratory Factor Analysis Generalized Least Squares Estimation Matrix Computations Majorization
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Some Results on the Majorization Theorem of Connected Graphs 认领 引用 被引量:1
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作者 Mu Huo LIU Bo Lian LIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第2期371-378,共8页
Let π = (d1, d2,..., dn) and π' = (d'1, d'2,..., d'n) be two non-increasing degree sequences.
关键词 Spectral radius Perron vector majorization
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Entropy majorization, thermal adiabatic theorem, and quantum phase transitions 认领 引用
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作者 Shi-jian Gu 《Frontiers of physics》 SCIE CSCD 2012年第2期244-251,共8页
Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is signif- icantly suppressed due to... Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is signif- icantly suppressed due to both the entropy majorization theorem in quantum information science and the entropy conservation law in reversible adiabatic processes. We take the one-dimensional transverse-field Ising model and the spinless fermion system as concrete examples to show that the inverse temperature might become divergent around the systems' critical points. Since the temper- ature is a measurable quantity in experiments, it can be used, via reversible adiabatic processes at low temperatures, to detect quantum phase transitions in the perspectives of quantum information science and quantum statistical mechanics. 展开更多
关键词 quantum phase transition entropy majorization
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The fundamental theory of abstract majorization inequalities 认领 引用
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作者 YANG DingHua 《Science China Mathematics》 2009年第10期2287-2308,共22页
Using the axiomatic method,abstract concepts such as abstract mean,abstract convex function and abstract majorization are proposed.They are the generalizations of concepts of mean,convex function and majorization,resp... Using the axiomatic method,abstract concepts such as abstract mean,abstract convex function and abstract majorization are proposed.They are the generalizations of concepts of mean,convex function and majorization,respectively.Through the logical deduction,the fundamental theorems about abstract majorization inequalities are established as follows:for arbitrary abstract meanΣandΣ,and abstractΣ→Σstrict convex function f(x)on the interval I,if xi,yi∈I(i=1,2,...,n)satisfy that(x1,x2,...,xn)<nΣ(y1,y2,...,yn),thenΣ{f(x1),f(x2),...,f(xn)}≥Σ{f(y1),f(y2),...,f(yn)}.This class of inequalities extends and generalizes the fundamental theorem of majorization inequalities.Moreover,concepts such as abstract vector mean are proposed,the fundamental theorems about abstract majorization inequalities are generalized to n-dimensional vector space.The fundamental theorem of majorization inequalities about the abstract vector mean are established as follows:for arbitrary symmetrical convex set SRn,and n-variable abstract symmetricalΣ→Σstrict convex functionφ()on S,if,■∈S satisfynΣ■,thenφ(x)〈(y);if vector groupxi,yi∈S(i=1,2,...,m)satisfy{x1,x2,...,xm}〈Σn{y1,y2,...,ym},thenΣ{φ(x1),φ(x2),...,φ(xm)}Σ{φ(y1),φ(y2),...,φ(ym)}. 展开更多
关键词 abstract mean abstract convex function abstract majorization abstract majorization inequality
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Research on the Integration of the“1+X”Certificate System with Engineering Drawing Courses in Mechanical Engineering from the Perspective of New Engineering Education 认领 引用
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作者 Ka Gao Bin Chen +2 位作者 Zhenzhong Chu Wenbo Zhu Weidong Li 《Journal of Contemporary Educational Research》 2026年第6期277-283,共7页
The New Engineering Education initiative aims to cultivate versatile and innovative engineering professionals.The“1+X”certification system serves as a key measure in vocational education reform,providing dual guidan... The New Engineering Education initiative aims to cultivate versatile and innovative engineering professionals.The“1+X”certification system serves as a key measure in vocational education reform,providing dual guidance of“academic qualifications+practical skills”for talent development in mechanical engineering disciplines.As a fundamental course in mechanical engineering disciplines,Engineering Drawing serves as a crucial bridge connecting previous knowledge with subsequent learning,exerting a decisive influence on students’engineering competencies and employability.Based on this,the study examines the necessity and existing challenges of integrating the“1+X”certification system with engineering drawing courses in mechanical engineering disciplines,in light of the demands for new engineering talent,and explores effective approaches for such integration.By restructuring the curriculum system,innovating teaching methods,and optimizing assessment mechanisms,the goal of effectively integrating academic education with vocational training is achieved.This study provides reference experiences for the reform of engineering drawing courses in mechanical engineering disciplines,thereby facilitating the cultivation of high-caliber mechanical engineering professionals under the new engineering education framework. 展开更多
关键词 New Engineering Education “1+X”certificate system Mechanical Engineering majors Engineering Drawing Course integration
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Participation of Business-related Majors in the "National College Business Elite Challenge" :A Case Study of Yangtze University 认领 引用
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作者 Hong LI 《Meteorological and Environmental Research》 2026年第1期60-61,65,共2页
The National College Business Elite Challenge is a widely covered and far-reaching subject competition in the field of business education in China,which is of great significance for enhancing college students'inno... The National College Business Elite Challenge is a widely covered and far-reaching subject competition in the field of business education in China,which is of great significance for enhancing college students'innovation and entrepreneurship abilities and deepening the integration of industry and education.In this paper,Yangtze University is taken as the research object.It systematically analyzes the current situation and existing problems of the university's participation in the competition,and proposes optimization strategies.Research shows that Yangtze University has achieved good results in areas such as brand planning,accounting and business management cases.However,there are still shortcomings in terms of balanced disciplinary coverage,systematic competition preparation training,resource integration,and incentive mechanisms.Finally,it proposes countermeasures from the aspects of building a full chain cultivation system,deepening the integration of industry and education,breaking down disciplinary barriers,and improving incentive and guarantee mechanisms,in order to provide reference for competition organization and guidance work in similar universities. 展开更多
关键词 Subject competition College student Business-related majors Integration of industry and education
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Research on the Cultivation of Innovative Talents in Agricultural Majors in Higher Vocational Colleges 认领 引用
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作者 Qiong He Jun Zhao Yi Zhong 《Journal of Contemporary Educational Research》 2026年第5期127-133,共7页
With the further implementation of the rural revitalization strategy and the accelerated development of agricultural modernization,China’s agricultural sector has an increasingly urgent demand for technical and skill... With the further implementation of the rural revitalization strategy and the accelerated development of agricultural modernization,China’s agricultural sector has an increasingly urgent demand for technical and skilled talents with practical ability,innovative thinking,and professional literacy.As the main base for cultivating technical and skilled talents,agricultural majors in higher vocational colleges undertake the mission of delivering front-line high-quality talents for agricultural production.However,at present,the cultivation of talents in agricultural majors in higher vocational colleges still faces problems such as vague training objectives and outdated curriculum systems,which fail to match the demand for innovative talents in modern agriculture.Based on this,combined with the school-running characteristics of higher vocational colleges and the characteristics of agricultural majors,this paper analyzes the necessity and dilemmas of current talent training,explores the paths for innovative talent training,and supports the construction of rural revitalization. 展开更多
关键词 Higher vocational colleges Agricultural majors Talent cultivation
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Exploration of the Teaching Reform and Practice of Single-Chip Microcomputer Course for Aviation Majors under the Empowerment of Low-Altitude Economy 认领 引用
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作者 Chengbo Yang 《Journal of Contemporary Educational Research》 2026年第1期187-191,共5页
With the emergence of the concept of low-altitude economy and the continuous upgrading of avionics technology,cultivating aerospace professionals with single-chip microcomputer(SCM)knowledge and practical abilities ha... With the emergence of the concept of low-altitude economy and the continuous upgrading of avionics technology,cultivating aerospace professionals with single-chip microcomputer(SCM)knowledge and practical abilities has become an important reform direction for undergraduate education.From the perspective of course application,this paper explores the necessity of introducing SCM courses and reforming teaching methods for aerospace majors at the undergraduate level,and puts forward reform suggestions in teaching content,teaching methods,practical links,and evaluation systems.It aims to build a curriculum system that not only conforms to the characteristics of aerospace majors but also strengthens students’SCM engineering application literacy and cultivates applied compound talents for the aviation industry related to the low-altitude economy. 展开更多
关键词 Aerospace majors Single-Chip Microcomputer(SCM) Undergraduate education Teaching reform
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From Silence to Voice:Enhancing English Majors'International Communication Competence through a‘Three-Phase,Four-Loop'Instructional Model-A Case Study of English Speaking and Debate Course 认领 引用
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作者 Conghong Shi 《Journal of Contemporary Educational Research》 2026年第5期20-30,共11页
This study addresses a critical gap in English language education at local application-oriented universities:how to enhance English majors’international communication competence(ICC)through a systematically designed ... This study addresses a critical gap in English language education at local application-oriented universities:how to enhance English majors’international communication competence(ICC)through a systematically designed public speaking and debate course.A pre-course survey revealed three major problems:low conceptual awareness of ICC,a severe skills imbalance between daily conversation and public persuasion,and a“China narrative void”where students could introduce traditional culture but not contemporary China.To address these gaps,a“Three-Phase,Four-Loop”instructional model grounded in the Production-Oriented Approach and Zone of Proximal Development theory was implemented in a 16-week course for second-year English majors.The model integrates an eight-module“China Topics”vocabulary bank,scaffolded skill training,and low-risk,high-fidelity simulation activities.A post-course survey showed significant improvements:ICC conceptual understanding rose from near zero to 87.21%high familiarity;confidence in formal debate reached 72.1%;constructive communication behaviors increased from under 20%to over 58%;and students became able to confidently introduce contemporary topics such as high-speed rail and rural revitalization.Overall course satisfaction was 89.54%,with core reform measures rated as helpful by over 90%of students.The study provides a replicable,evidence-based pathway for cultivating international communication competence in similar applied undergraduate institutions. 展开更多
关键词 International communication competence English speaking and debate Three-Phase Four-Loop model English majors
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Latency minimization for multiuser computation offloading in fog-radio access networks 认领 引用
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作者 Wei Zhang Shafei Wang +3 位作者 Ye Pan Qiang Li Jingran Lin Xiaoxiao Wu 《Digital Communications and Networks》 SCIE EI CSCD 2025年第1期160-171,共12页
Recently,the Fog-Radio Access Network(F-RAN)has gained considerable attention,because of its flexible architecture that allows rapid response to user requirements.In this paper,computational offloading in F-RAN is con... Recently,the Fog-Radio Access Network(F-RAN)has gained considerable attention,because of its flexible architecture that allows rapid response to user requirements.In this paper,computational offloading in F-RAN is considered,where multiple User Equipments(UEs)offload their computational tasks to the F-RAN through fog nodes.Each UE can select one of the fog nodes to offload its task,and each fog node may serve multiple UEs.The tasks are computed by the fog nodes or further offloaded to the cloud via a capacity-limited fronhaul link.In order to compute all UEs'tasks quickly,joint optimization of UE-Fog association,radio and computation resources of F-RAN is proposed to minimize the maximum latency of all UEs.This min-max problem is formulated as a Mixed Integer Nonlinear Program(MINP).To tackle it,first,MINP is reformulated as a continuous optimization problem,and then the Majorization Minimization(MM)method is used to find a solution.The MM approach that we develop is unconventional in that each MM subproblem is solved inexactly with the same provable convergence guarantee as the exact MM,thereby reducing the complexity of MM iteration.In addition,a cooperative offloading model is considered,where the fog nodes compress-and-forward their received signals to the cloud.Under this model,a similar min-max latency optimization problem is formulated and tackled by the inexact MM.Simulation results show that the proposed algorithms outperform some offloading strategies,and that the cooperative offloading can exploit transmission diversity better than noncooperative offloading to achieve better latency performance. 展开更多
关键词 Fog-radio access network Fog computing Majorization minimization WMMSE
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Study on the Impact of Constructing“Double-Qualified”Teacher Teams on the Quality of Talent Cultivation in Higher Vocational Tourism Majors 认领 引用 被引量:1
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作者 Yun Zhong 《Journal of Contemporary Educational Research》 2025年第10期230-237,共8页
Against the backdrop of the high-quality development of vocational education,the construction of“double-qualified”teacher teams has shifted from focusing on quantity growth to emphasizing the improvement of“double-... Against the backdrop of the high-quality development of vocational education,the construction of“double-qualified”teacher teams has shifted from focusing on quantity growth to emphasizing the improvement of“double-qualified”competencies.How to strengthen the quality-oriented construction of“double-qualified”teacher teams,give full play to the role of“double-qualified”teachers,promote the construction and teaching reform of tourism majors,and enhance the quality of tourism talent cultivation have become key issues faced by higher vocational tourism majors.Taking higher vocational tourism majors as an example,this paper analyzes the problems encountered in the construction of tourism-related“double-qualified”teacher teams,puts forward strategies for such construction,and explores the impact of building“double-qualified”teacher teams on the quality of talent cultivation in tourism majors.It aims to provide references for the coordinated improvement of the construction of“double-qualified”teacher teams and the quality of talent cultivation in higher vocational tourism majors. 展开更多
关键词 “Double-qualified”teacher teams Construction Higher vocational tourism majors Talent cultivation Impact
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DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING 认领 引用 被引量:2
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作者 熊世峰 李国英 《Acta Mathematica Scientia》 SCIE 2010年第3期907-918,共12页
We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majo... We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majorization. A new dispersion index is proposed for testing the hypotheses. The corresponding test for the one-sample problem is an exact test. For the two-sample problem, the bootstrap is used to approximate the null distribution of the test statistic and the p-value. We prove that the bootstrap test is asymptotically correct and consistent. Simulation studies for the bootstrap test are reported and a real life example is presented. 展开更多
关键词 Multinomial distribution dispersion diversity bootstrap hypothesis testing majorization
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