• Title/Summary/Keyword: statistical convergence

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Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers

  • Tripathy, Binod Chandra;Baruah, Achyutanada
    • Kyungpook Mathematical Journal
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    • v.50 no.4
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    • pp.565-574
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    • 2010
  • In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.

EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES

  • Ko, Mi-Hwa;Choi, Yong-Kab;Choi, Yue-Soon
    • Communications of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.137-143
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    • 2007
  • In this paper, a Berstein-Hoeffding type inequality is established for linearly negative quadrant dependent random variables. A condition is given for almost sure convergence and the associated rate of convergence is specified.

Convergence Rate of Newton-Raphson Method (뉴톤-랩슨 반복법의 점근비율)

  • 이관제
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.319-328
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    • 1993
  • The actual convergence rate of Newton-Raphson iteration method at each step is studied under the regularity conditions for the limiting distribution: The convergence rate of it is accelerated with good starting values. Hence we can decide a number of iterations according to our purposes.

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ASYMPTOTICAL INVARIANT AND ASYMPTOTICAL LACUNARY INVARIANT EQUIVALENCE TYPES FOR DOUBLE SEQUENCES VIA IDEALS USING MODULUS FUNCTIONS

  • Dundar, Erdinc;Akin, Nimet Pancaroglu;Ulusu, Ugur
    • Honam Mathematical Journal
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    • v.43 no.1
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    • pp.100-114
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    • 2021
  • In this study, we present some asymptotical invariant and asymptotical lacunary invariant equivalence types for double sequences via ideals using modulus functions and investigate relationships between them.

Utilization of R Program for the Partial Least Square Model: Comparison of SmartPLS and R (부분최소제곱모형을 위한 R 프로그램의 활용: SmartPLS와 R의 비교)

  • Kim, Yong-Tae;Lee, Sang-Jun
    • Journal of Digital Convergence
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    • v.13 no.12
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    • pp.117-124
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    • 2015
  • As the acceptance of statistical analysis has been increased because of Big Data, the needs for an advanced second generation of statistical analysis method like Structural Equation Model are also increasing. This study suggests how R-Program, as open software, can be utilized when Partial Least Square Model, one of the SEMs, is applied to statistical analysis. R is a free software as a part of GNU projects as well as a powerful and useful tool for statistical analysis including Big Data. The study utilized R and SmartPLS, a representative statistical package of PLS-SEM, and analyzed internal consistency reliability, convergent validity, and discriminant validity of the measurement model. The study also analyzed path coefficients and moderator effects of the structural model and compared the results, respectively. The results indicated that R showed the same results with SmartPLS on the measurement model and the structural model. Therefore, the study confirmed that R could be a powerful tool that is alternative to a commercial statistical package in the future.

Analysis of Structural Relationships Among Predictors of Creative Problem Solving in Engineering (공학분야 대학생의 창의적 문제해결에 영향을 미치는 지식융합 변인의 구조적 관계 분석)

  • PARK, Sung-Mi;YANG, Hwang-Kyu
    • Journal of Fisheries and Marine Sciences Education
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    • v.27 no.4
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    • pp.963-972
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    • 2015
  • This study examined the impact of variables(collaboration, convergence motive, convergence thinking) on the creativity problem solving of engineering college students. 522 students among engineering colleges in Pusan and Ulsan were sampled. For the statistical analysis, analysis of covariance structure by AMOS 18.0 was applied. Results from structural equation modeling analyses indicated that a hypothesized model produced a better fit to the data than a comparative structural model. The hypothesized model shows the following results. On the basis of the hypothesized model, collaboration effected to directly convergence motive and creative problem solving, and convergence motive effected to directly convergence thinking, convergence motive effected to directly creative problem solving, convergence thinking effected to directly creative problem solving, and collaboration effected to indirectly convergence thinking by convergence motive. Therefore this study suggested the collaboration, convergence motive and convergence thinking are significantly variables to facilitate the creative problem solving for knowledge fusion in engineering.

Convergence Rate Improvement of the Blind Equalization Algorithm for QAM System using Selective NCMA (QAM 시스템에 선택적으로 NCMA를 적용한 블라인드 등화 알고리즘의 수렴속도 개선)

  • 강윤석;안상식
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.43-46
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    • 1999
  • Blind equalizers recover the transmitted data using signal's statistical characteristics only. Because of its computational simplicity and fast convergence rate, CMA is widely used in practice. Blind equalizers, however, converge much slowly than conventional equalizers which use the training signals. In order to improve the convergence rate, many modified blind equalization algorithms have been proposed. Among those, Normalized CMA (NCMA) was applied to increase the convergence rate by using the large step size. Unfortunately it can only be applied for the constant modulus signal constellation scheme. this paper, we propose the Selective NCMA (SNCMA) that improve the convergence rate of blind equalization algorithms by using NCMA for non-constant modulus signalling method such as QAM constellation. We achieved fast start-up convergence rate and reduced steady-state residual error.

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An SAD-Based Selective Bi-prediction Method for Fast Motion Estimation in High Efficiency Video Coding

  • Kim, Jongho;Jun, DongSan;Jeong, Seyoon;Cho, Sukhee;Choi, Jin Soo;Kim, Jinwoong;Ahn, Chieteuk
    • ETRI Journal
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    • v.34 no.5
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    • pp.753-758
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    • 2012
  • As the next-generation video coding standard, High Efficiency Video Coding (HEVC) has adopted advanced coding tools despite the increase in computational complexity. In this paper, we propose a selective bi-prediction method to reduce the encoding complexity of HEVC. The proposed method evaluates the statistical property of the sum of absolute differences in the motion estimation process and determines whether bi-prediction is performed. A performance comparison of the complexity reduction is provided to show the effectiveness of the proposed method compared to the HEVC test model version 4.0. On average, 50% of the bi-prediction time can be reduced by the proposed method, while maintaining a negligible bit increment and a minimal loss of image quality.

Enhanced Block-Based Adaptive Loop Filter with Multiple Symmetric Structures for Video Coding

  • Lee, Ha-Hyun;Lim, Sung-Chang;Choi, Hae-Chul;Jeong, Se-Yoon;Kim, Jong-Ho;Choi, Jin-Soo
    • ETRI Journal
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    • v.32 no.4
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    • pp.626-629
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    • 2010
  • In this letter, we present an enhanced block-based adaptive loop filter (E-BALF) with multiple filter symmetric structures. The E-BALF adapts various filter symmetric structures in a rate-distortion optimization sense, reflecting the statistical properties of each image in a video sequence. Experimental results show that the proposed method achieves a reduction in the Bj${\phi}$ntegaard delta (BD)-bitrate by an average of 9.60% compared with Joint Model 11.0 of H.264/AVC. Compared to the state-of-the-art BALF, a reduction of up to 1.13% in BD-bitrate is achieved.