• Title/Summary/Keyword: jing

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EXTENSIONS OF SEVERAL CLASSICAL RESULTS FOR INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES TO CONDITIONAL CASES

  • Yuan, De-Mei;Li, Shun-Jing
    • Journal of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.431-445
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    • 2015
  • Extensions of the Kolmogorov convergence criterion and the Marcinkiewicz-Zygmund inequalities from independent random variables to conditional independent ones are derived. As their applications, a conditional version of the Marcinkiewicz-Zygmund strong law of large numbers and a result on convergence in $L^p$ for conditionally independent and conditionally identically distributed random variables are established, respectively.

ASYMPTOTIC DISTRIBUTION OF THE DISCOUNTED PROPER DEFICIT IN THE DISCRETE TIME DELAYED RENEWAL MODEL

  • Bao, Zhen-Hua;Wang, Jing
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.325-334
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    • 2011
  • In this paper we consider the discrete time delayed renewal risk model. We investigate what will happen when the distribution function of the discounted proper deficit is asymptotic in the initial surplus. In doing this we establish several lemmas regarding some related ruin quantities in the discrete time delayed renewal risk model, which are of significance on their own right.

The Successful Strategic of the Impression Series of China's Real-Life Scenery Performance (중국 <인상 시리즈> 실경공연의 성공 전략)

  • Meng, jing;Lee, donghun
    • Proceedings of the Korea Contents Association Conference
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    • 2015.05a
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    • pp.379-380
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    • 2015
  • 본고는 '인상' 시리즈 산수실경공연의 성공 후 중국에 나타난 대량의 실경공연 열풍을 연구배경으로 한다. 각종 문헌, 인터넷, 신문, 잡지 등의 문헌자료를 기반으로 '인상' 시리즈 공연에서 사용된 전략적 요소들을 분석함으로써 그러한 전략적 환경과 전략적 선택을 하게 된 측면을 조사하고 그 성공원인 및 의미를 분석하고자 한다. 또한 이러한 연구를 통하여 향후 실경공연의 발전에 필요한 연구 기초와 이론적 근거를 제시하고자 한다.

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PROPER EFFICIENCY FOR SET-VALUED OPTIMIZATION PROBLEMS AND VECTOR VARIATIONAL-LIKE INEQUALITIES

  • Long, Xian Jun;Quan, Jing;Wen, Dao-Jun
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.777-786
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    • 2013
  • The purpose of this paper is to establish some relationships between proper efficiency of set-valued optimization problems and proper efficiency of vector variational-like inequalities under the assumptions of generalized cone-preinvexity. Our results extend and improve the corresponding results in the literature.

A HOMOTOPY CONTINUATION METHOD FOR SOLVING A MATRIX EQUATION

  • Li, Jing;Zhang, Yuhai
    • Journal of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.327-342
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    • 2018
  • In this paper, a homotopy continuation method for obtaining the unique Hermitian positive definite solution of the nonlinear matrix equation $X-{\sum_{i=1}^{m}}A^{\ast}_iX^{-p_i}A_i=I$ with $p_i$ > 1 is proposed, which does not depend on a good initial approximation to the solution of matrix equation.