• 제목/요약/키워드: self-normalized

검색결과 74건 처리시간 0.022초

A SELF-NORMALIZED LIL FOR CONDITIONALLY TRIMMED SUMS AND CONDITIONALLY CENSORED SUMS

  • Pang Tian Xiao;Lin Zheng Yan
    • 대한수학회지
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    • 제43권4호
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    • pp.859-869
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    • 2006
  • Let {$X,\;X_n;n\;{\geq}\;1$} be a sequence of ${\imath}.{\imath}.d.$ random variables which belong to the attraction of the normal law, and $X^{(1)}_n,...,X^{(n)}_n$ be an arrangement of $X_1,...,X_n$ in decreasing order of magnitude, i.e., $\|X^{(1)}_n\|{\geq}{\cdots}{\geq}\|X^{(n)}_n\|$. Suppose that {${\gamma}_n$} is a sequence of constants satisfying some mild conditions and d'($t_{nk}$) is an appropriate truncation level, where $n_k=[{\beta}^k]\;and\;{\beta}$ is any constant larger than one. Then we show that the conditionally trimmed sums obeys the self-normalized law of the iterated logarithm (LIL). Moreover, the self-normalized LIL for conditionally censored sums is also discussed.

DVB-S2 기반 고속 LDPC 복호를 위한 효율적인 CNU 계산방식에 관한 연구 (A Study on Efficient CNU Algorithm for High Speed LDPC decoding in DVB-S2)

  • 임병수;김민혁;정지원
    • 한국정보통신학회논문지
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    • 제16권9호
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    • pp.1892-1897
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    • 2012
  • 본 논문은 DVB-S2 기반 고속 LDPC 복호를 하기 위한 효율적인 CNU(Check Node Update) 계산방식에 대해 분석하였다. LDPC의 복호 속도는 CNU 계산 과정에 의존한다. 기존의 CNU 계산방식에서 LUT를 고려한 SP(Sum-Product)방식은 속도가 늦어지는 단점이 있다. 이에 본 논문에서는 SC-NMS(Self-Corrected Normalized Min-Sum) 방식을 제안한다. LUT 연산을 제거한 MS(Min-Sum) 방식에 정규화 계수 '${\alpha}$'를 곱하는 Normalized Min-Sum(NMS) 방식은 MP 방식보다 성능은 약간 감소하지만 critical path를 없애고 클럭 주기를 줄일 수 있어 구현에 있어서 고속화를 위한 효율적인 CNU 계산방식이다. 또한, 복호과정에서 반복 시 이전 반복에서의 엣지 값과 현재 반복에서의 엣지 값을 비교하여 부호가 바뀌면 신뢰성이 없음을 간주하여 현재 엣지에 "0"을 할당하는 SC(Self-Corrected) 방식을 연구하였다. SC-NMS 방식을 적용하여 시뮬레이션 한 결과, SC-NMS 방식은 SP 방식에 비해 0.1dB의 성능열화를 보였지만, 계산의 복잡도와 복호 속도를 고려했을 때, SC-NMS 방식이 최적의 CNU 계산 방식이라는 것을 확인하였다.

코의 크기 및 형태와 자가건강, 미병과의 상관성 (Association of Nose Size and Shapes with Self-rated Health and Mibyeong)

  • 안일구;배광호;진희정;이시우
    • 동의생리병리학회지
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    • 제35권6호
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    • pp.267-273
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    • 2021
  • Mibyeong (sub-health) is a concept that represents the sub-health in traditional East Asian medicine. Assuming that the nose sizes and shapes are related to respiratory function, in this study, we hypothesized that the nose size and shape features are related to the self-rated health (SRH) level and self-rated Mibyeong severity, and aimed to assess this relationship using a fully automated image analysis system. The nose size features were evaluated from the frontal and profile face images of 810 participants. The nose size features consisted of five length features, one area feature, and one volume feature. The level of SRH and the Mibyeong severity were determined using a questionnaire. The normalized nasal height was negatively associated with the self-rated health score (SRHS) (partial ρ = -0.125, p = 3.53E-04) and the Mibyeong score (MBS) (partial ρ = -.172, p = 9.38E-07), even after adjustment for sex, age, and body mass index. The normalized nasal volume (ρ = -.105, p = 0.003), the normalized nasal tip protrusion length (ρ = -.087, p = 0.014), and the normalized nares width (ρ = -.086, p = .015) showed significant correlation with the SRHS. The normalized nasal area (ρ = -.118, p = 0.001), the normalized nasal volume (ρ = -.107, p = .002) showed significant correlation with the MBS. The wider, longer, and larger the nose, the lower the SRHS and MBS, indicating that health status can be estimated based on the size and shape features of the nose.

SELF-NORMALIZED WEAK LIMIT THEOREMS FOR A ø-MIXING SEQUENCE

  • Choi, Yong-Kab;Moon, Hee-Jin
    • 대한수학회보
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    • 제47권6호
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    • pp.1139-1153
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    • 2010
  • Let {$X_j,\;j\geq1$} be a strictly stationary $\phi$-mixing sequence of non-degenerate random variables with $EX_1$ = 0. In this paper, we establish a self-normalized weak invariance principle and a central limit theorem for the sequence {$X_j$} under the condition that L(x) := $EX_1^2I{|X_1|{\leq}x}$ is a slowly varying function at $\infty$, without any higher moment conditions.

A SUPPLEMENT TO PRECISE ASYMPTOTICS IN THE LAW OF THE ITERATED LOGARITHM FOR SELF-NORMALIZED SUMS

  • Hwang, Kyo-Shin
    • 대한수학회지
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    • 제45권6호
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    • pp.1601-1611
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    • 2008
  • Let X, $X_1$, $X_2$, ... be i.i.d. random variables with zero means, variance one, and set $S_n\;=\;{\sum}^n_{i=1}\;X_i$, $n\;{\geq}\;1$. Gut and $Sp{\check{a}}taru$ [3] established the precise asymptotics in the law of the iterated logarithm and Li, Nguyen and Rosalsky [7] generalized their result under minimal conditions. If P($|S_n|\;{\geq}\;{\varepsilon}{\sqrt{2n\;{\log}\;{\log}\;n}}$) is replaced by E{$|S_n|/{\sqrt{n}}-{\varepsilon}{\sqrt{2\;{\log}\;{\log}\;n}$}+ in their results, the new one is called the moment version of precise asymptotics in the law of the iterated logarithm. We establish such a result for self-normalized sums, when X belongs to the domain of attraction of the normal law.

확장된 PID 자기동조기의 설계 (Design of the Extended PID Self-Tuner)

  • 金鍾煥;崔桂根
    • 대한전자공학회논문지
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    • 제23권4호
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    • pp.439-444
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    • 1986
  • In this paper the PID-B self-tuner[1] is extended to allow a less abrupt response to set point or plant parameter changes and to control a nonminimum phase plant. The proposed extended PID/ST derived from the direct pole-placement PID/ST is obtained with the Bezout identity as the underlying design method. And its control gains are normalized by the integral control gain. Although the integral control gain is normalized to 1 in our scheme, the so-called "set point and derivative kick" can be avoided sufficiently by normalizing the measurement vector and set point.

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심장판막수술 후 프로트롬빈 INR 모니터링형 자가관리프로그램 개발 및 적용 (Development and Application of a Self-management Program based on Prothrombin INR Monitoring for Patients with Cardiac Valve Replacement)

  • 전현례;박정숙
    • 대한간호학회지
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    • 제45권4호
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    • pp.554-564
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    • 2015
  • Purpose: The purpose of this study was to develop and evaluate a self-management program based on INR monitoring for patients with cardiac valve replacement. Methods: This program was comprised of five weekly sessions based on Sousa's Enhance-Behavior Performance Model. The first session included individual teaching, and the other four sessions included Prothrombin Time International Normalized Ratios (PT INR) self-monitoring, telephone counseling and self-management checklist recording. Participants were patients who had cardiac valve replacement. They were randomly assigned to the experimental or control group. Sixteen in the experimental group participated in the self-management program and seventeen in the control group participated in general care. Self-management knowledge, self-efficacy, self-management behavior and PT INR were measured as dependent variables. Data were analyzed using Mann Whitney U-test, t-test and ANCOVA. Results: The experimental group showed significantly higher post-test scores in self-management knowledge (t=5.86, p<.001), self-efficacy (F=18.32, p<.001), and self-management behavior (t=3.44, p=.002) compared to the control group. Also, the experimental group showed significantly higher frequency in maintaining the treatment range of PT INR compared to the control group (${\chi}^2=4.80$, p=.028). Conclusion: The results of the research on the self-management program based on PT INR monitoring showed that it is effective in improving self-management knowledge, self-efficacy, and self-management behavior as well as maintaining treatment range of PT INR of patients with cardiac valve replacement.

ON THE RATES OF THE ALMOST SURE CONVERGENCE FOR SELF-NORMALIZED LAW OF THE ITERATED LOGARITHM

  • Pang, Tian-Xiao
    • 대한수학회보
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    • 제48권6호
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    • pp.1137-1146
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    • 2011
  • Let {$X_i$, $i{\geq}1$} be a sequence of i.i.d. nondegenerate random variables which is in the domain of attraction of the normal law with mean zero and possibly infinite variance. Denote $S_n={\sum}_{i=1}^n\;X_i$, $M_n=max_{1{\leq}i{\leq}n}\;{\mid}S_i{\mid}$ and $V_n^2={\sum}_{i=1}^n\;X_i^2$. Then for d > -1, we showed that under some regularity conditions, $$\lim_{{\varepsilon}{\searrow}0}{\varepsilon}^2^{d+1}\sum_{n=1}^{\infty}\frac{(loglogn)^d}{nlogn}I\{M_n/V_n{\geq}\sqrt{2loglogn}({\varepsilon}+{\alpha}_n)\}=\frac{2}{\sqrt{\pi}(1+d)}{\Gamma}(d+3/2)\sum_{k=0}^{\infty}\frac{(-1)^k}{(2k+1)^{2d+2}}\;a.s.$$ holds in this paper, where If g denotes the indicator function.

HSS 기반의 고속 LDPC 복호기 FPGA 설계 (A FPGA Design of High Speed LDPC Decoder Based on HSS)

  • 김민혁;박태두;정지원
    • 한국전자파학회논문지
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    • 제23권11호
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    • pp.1248-1255
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    • 2012
  • 본 논문에서는 DVB-S2에 제시된 LDPC 복P호기에 대하여 효율적인 알고리즘을 제안하고 고속화 하여, 이에 따른 FPGA구현 결과를 제시하였다. 고속 LDPC 복호기를 구현하기 위해서는 알고리즘 측면과 구현 측면에서 여러 가지 문제점이 있다. 알고리즘 측면에서는 첫째, LDPC 부호화 방식은 큰 블록 사이즈 및 많은 반복 횟수를 요구하므로 복호 속도를 높이기 위해서는 동일한 성능을 유지하면서 반복 횟수를 줄일 수 있는 알고리즘이 필요하다. 본 논문에서는 이를 위해 체크 노드를 기반으로 하여 복호화 과정을 거치는 horizontal shuffle scheduling(HSS) 알고리즘을 적용하여 기존의 반복 횟수를 줄일 수 있는 방안을 연구 하였다. 구현 측면에서 복호 속도를 높이기 위해서는 데이터의 많은 병렬 처리가 필요하다. 이러한 병렬 처리에 의해 노드 업데이트 연산 역시 병렬 처리가 가능하다. Check Node Update의 경우 look up table(LUT)이 필요하다. 이는 critical path의 주요 원인이 되는 부분으로 LUT 연산을 하지 않고 성능 열화를 최소화 하는 self-correction normalized min sum(SC-NMS) 연산 방식을 제안하였고, 최적의CNU 연산 방식에 따른 복호기 구조를 제안하고 FPGA 구현 결과, 복호 속도가 약 40 % 개선됨을 알 수 있다.

Steel - concrete bond potentials in self-compacting concrete mixes incorporating dolomite powder

  • Kamal, Mounir M.;Safan, Mohamed A.;Al-Gazzar, Mohamed A.
    • Advances in concrete construction
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    • 제1권4호
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    • pp.273-288
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    • 2013
  • The main objective of this research was to evaluate the potentials of self-compacting concrete (SCC) mixes to develop bond strength. The investigated mixes incorporated relatively high contents of dolomite powder replacing Portland cement. Either silica fume or fly ash was used along with the dolomite powder in some mixes. Seven mixes were proportioned and cast without vibration in long beams with 10 mm and 16 mm steel dowels fixed vertically along the flowing path. The beams were then broken into discrete test specimens. A push-put configuration was adopted for conducting the bond test. The variation of the ultimate bond strength along the flowing path for the different mixes was evaluated. The steel-concrete bond adequacy was evaluated based on normalized bond strength. The results showed that the bond strength was reduced due to Portland cement replacement with dolomite powder. The addition of either silica fume or fly ash positively hindered further degradation as the dolomite powder content increased. However, all SCC mixes containing up to 30% dolomite powder still yielded bond strengths that were adequate for design purpose. The test results demonstrated inconsistent normalized bond strength in the case of the larger diameter compared to the smaller one.