• 제목/요약/키워드: convergence in probability

검색결과 536건 처리시간 0.026초

Rate of Convergence of the Integral Type Lupas-Bézier Operators

  • ZENG, XIAO-MING;TAO, WANG
    • Kyungpook Mathematical Journal
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    • 제43권4호
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    • pp.593-604
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    • 2003
  • In this paper we introduce the integral type Lupas-$B{\acute{e}}zier$ operator $\tilde{B}_{n,{\alpha}}$, which is a new approximation operator of probabilistic type. We study the rate of pointwise convergence of the operators $\tilde{B}_{n,{\alpha}}$ for local bounded functions and get an asymptotically estimate by means of some methods and techniques of probability theory.

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Approximation for the Two-Dimensional Gaussian Q-Function and Its Applications

  • Park, Jin-Ah;Park, Seung-Keun
    • ETRI Journal
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    • 제32권1호
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    • pp.145-147
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    • 2010
  • In this letter, we present a new approximation for the twodimensional (2-D) Gaussian Q-function. The result is represented by only the one-dimensional (1-D) Gaussian Q-function. Unlike the previous 1-D Gaussian-type approximation, the presented approximation can be applied to compute the 2-D Gaussian Q-function with large correlations.

ON THE RATE OF COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF RANDOM ELEMENTS

  • Sung, Soo-Hak;Volodin Andrei I.
    • 대한수학회지
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    • 제43권4호
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    • pp.815-828
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    • 2006
  • Let {$V_{nk},\;k\;{\geq}\;1,\;{\geq}\;1$} be an array of rowwise independent random elements which are stochastically dominated by a random variable X with $E\|X\|^{\frac{\alpha}{\gamma}+{\theta}}log^{\rho}(\|X\|)\;<\;{\infty}$ for some ${\rho}\;>\;0,\;{\alpha}\;>\;0,\;{\gamma}\;>\;0,\;{\theta}\;>\;0$ such that ${\theta}+{\alpha}/{\gamma}<2$. Let {$a_{nk},k{\geq}1,n{\geq}1$) be an array of suitable constants. A complete convergence result is obtained for the weighted sums of the form $\sum{^\infty_k_=_1}\;a_{nk}V_{nk}$.

영확률 최대화에 근거한 효율적인 적응 알고리듬 (Efficient Adaptive Algorithms Based on Zero-Error Probability Maximization)

  • 김남용
    • 한국통신학회논문지
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    • 제39A권5호
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    • pp.237-243
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    • 2014
  • 이 논문에서는, 영확률을 최대화 (maximum zero-error probability, MZEP) 하도록 설계된 알고리듬에서 가중치 갱신에 쓰이는 기존의 블록 처리 방식의 합산 연산을 대신하여, 다음 기울기 계산에 현재 계산된 기울기를 활용할 수 있는 효율적인 가중치 갱신 계산 방식을 제안하였다. 실험 결과로부터, 제안한 방식은 원래의 MZEP 와 동일한 성능을 나타내면서도 오차 버퍼가 불필요하여 시스템의 복잡도를 감소시키며 연산 시간을 현저히 줄일 수 있다. 또한 제안한 알고리듬은 오차 엔트로피 (error-entropy)를 최소화하도록 설계된 알고리듬보다 우수한 수렴 속도를 지닌다.

Adaptive Control of Strong Mutation Rate and Probability for Queen-bee Genetic Algorithms

  • Jung, Sung-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권1호
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    • pp.29-35
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    • 2012
  • This paper introduces an adaptive control method of strong mutation rate and probability for queen-bee genetic algorithms. Although the queen-bee genetic algorithms have shown good performances, it had a critical problem that the strong mutation rate and probability should be selected by a trial and error method empirically. In order to solve this problem, we employed the measure of convergence and used it as a control parameter of those. Experimental results with four function optimization problems showed that our method was similar to or sometimes superior to the best result of empirical selections. This indicates that our method is very useful to practical optimization problems because it does not need time consuming trials.

ON CONVERGENCE OF SERIES OF INDEPENDENTS RANDOM VARIABLES

  • Sung, Soo-Hak;Volodin, Andrei-I.
    • 대한수학회보
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    • 제38권4호
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    • pp.763-772
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    • 2001
  • The rate of convergence for an almost surely convergent series $S_n={\Sigma^n}_{i-1}X_i$ of independent random variables is studied in this paper. More specifically, when S$_{n}$ converges almost surely to a random variable S, the tail series $T_n{\equiv}$ S - S_{n-1} = {\Sigma^\infty}_{i-n} X_i$ is a well-defined sequence of random variables with T$_{n}$ $\rightarrow$ 0 almost surely. Conditions are provided so that for a given positive sequence {$b_n, n {\geq$ 1}, the limit law sup$_{\kappa}\geqn | T_{\kappa}|/b_n \rightarrow$ 0 holds. This result generalizes a result of Nam and Rosalsky [4].

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Risk Assessment for Marine Pilot Occupational Accidents using Fault Tree and Event Tree Analysis

  • Camliyurt, Gokhan;Choi, Sea-Am;Kim, So-Ra;Guzel, Ahmet Turgut;Park, Young-Soo
    • 한국항해항만학회지
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    • 제46권5호
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    • pp.400-408
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    • 2022
  • Maritime transportation is one of the most complicated and hazardous business fileds. Maritime accidents still occur despite several precautions since maritime is exposed to natural factors more than any other industries. In this harsh environment as a part of their job, marine pilots often embark/disembark to/ from vessels and confront life-endangering personal accidents. In the maritime field, several risk assessments are applied. However, all of them could not evaluate occupational accident risk for maritime pilot specifically. This paper performs specific risk analysis using the bow-tie method based on past accident records. This paper aims to qualify root causes and quantify root causes by importance level according to occurrence probability. As a result of analysis, occupational accident occurrence probability is found to be 14%, indicating that accident occurrence rate is significantly high. Hence, the probability of root causes triggering accidents and accident occurrence probability can be ascertained so that preventive measurements can be implemented. Besides theoretical achievement, this paper provides safety awareness to marine pilots, Marine Pilot Organizations, and ship crew who play a key role during marine pilots' transfer.

STPC 알고리즘을 이용한 VANET을 위한 전송파워 제어기법 (Transmission Power Control Scheme for VANET using STPC Algorithm)

  • 임영규;김동성;이응수
    • 전자공학회논문지
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    • 제50권1호
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    • pp.187-195
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    • 2013
  • 본 논문은 차량 네트워크망의 성능개선을 위하여 교통류 모델을 이용한 STPC 알고리즘이 적용된 전송파워 제어기법을 제안한다. 교통량 혼잡 상태에서 차량 간의 전송파워는 메시지 충돌 확률을 증가시키며, 이는 차량 네트워크망의 성능저하 문제의 원인이 된다. 이를 해결하기 위하여, 제안된 전송파워 제어기법의 효용성을 증명하기 위하여 네트워크 모의실험 도구인 OPNet 모델러에서 원홉 지연, 패킷전송성공 확률 및 처리율을 분석하였다. 모의실험 결과를 살펴보면, 제안된 기법은 기존의 고정 전송파워를 적용한 기법보다 우수한 지연감소 효과를 보였고, 차량의 밀도가 높을 때 패킷전송 성공확률과 처리율은 향상되었다.