• 제목/요약/키워드: $\alpha$-mixing sequence

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ROBUST REGRESSION SMOOTHING FOR DEPENDENT OBSERVATIONS

  • Kim, Tae-Yoon;Song, Gyu-Moon;Kim, Jang-Han
    • 대한수학회논문집
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    • 제19권2호
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    • pp.345-354
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    • 2004
  • Boente and Fraiman [2] studied robust nonparametric estimators for regression or autoregression problems when the observations exhibit serial dependence. They established strong consistency of two families of M-type robust equivariant estimators for $\phi$-mixing processes. In this paper we extend their results to weaker $\alpha$$alpha$-mixing processes.

Validity of Blockwise Bootstrapped Empirical Process with Multivariate Stationary Sequences

  • Kim, Tae-Yoon;Shin, Ki-Dong;Song, Gyu-Moon
    • Journal of the Korean Statistical Society
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    • 제30권3호
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    • pp.407-418
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    • 2001
  • Buhlmann(1944) established the validity of the block bootstrap proposed by Kunsch when it is applied to p-dimensional $\alpha$-mixing dependent sequence. But his result requires a rather restrictive condition on p in the sense that p is entangled with dependence structure. We address that such restriction on p(or complication of dependence structure with p) could be removed completely when the underlying dependence structure is replace by more weakly dependent structure such as ø-mixing.

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BERRY-ESSEEN BOUNDS OF RECURSIVE KERNEL ESTIMATOR OF DENSITY UNDER STRONG MIXING ASSUMPTIONS

  • Liu, Yu-Xiao;Niu, Si-Li
    • 대한수학회보
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    • 제54권1호
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    • pp.343-358
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    • 2017
  • Let {$X_i$} be a sequence of stationary ${\alpha}-mixing$ random variables with probability density function f(x). The recursive kernel estimators of f(x) are defined by $$\hat{f}_n(x)={\frac{1}{n\sqrt{b_n}}{\sum_{j=1}^{n}}b_j{^{-\frac{1}{2}}K(\frac{x-X_j}{b_j})\;and\;{\tilde{f}}_n(x)={\frac{1}{n}}{\sum_{j=1}^{n}}{\frac{1}{b_j}}K(\frac{x-X_j}{b_j})$$, where 0 < $b_n{\rightarrow}0$ is bandwith and K is some kernel function. Under appropriate conditions, we establish the Berry-Esseen bounds for these estimators of f(x), which show the convergence rates of asymptotic normality of the estimators.

Kernel Regression Estimation Under Dependence

  • Kim, Tae-Yoon;Kim, Donghoh
    • Journal of the Korean Statistical Society
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    • 제31권3호
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    • pp.359-368
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    • 2002
  • Nonparametric kernel regression problem is considered for a stationary dependent sequence {(Xi, Yj) 1 j $\geq$ 1 }. In particular consistency and rates of convergence are discussed, which gives some useful insight for the effect of dependence for stationary $\alpha$-mixing sequences.

Multitarget Bias Cosputter증착에 의한 $CoSi_2$층의 저온정합성장 및 상전이에 관한 연구 (A Study on the Low Temperature Epitaxial Growth of $CoSi_2$ Layer by Multitarget Bias cosputter Deposition and Phase Sequence)

  • 박상욱;최정동;곽준섭;지응준;백홍구
    • 한국재료학회지
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    • 제4권1호
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    • pp.9-23
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    • 1994
  • Multitarget bias cosputter deposition(MBCD)에 의해 저온($200^{\circ}C$)에서 NaCI(100)상에 정합$CoSi_2$를 성장시켰다. X-선회절과 투과전자현미경에 의해 증착온도와 기판 bias전압에 따른 각각 silicide의 상전이와 결정성을 관찰하였다. Metal induced crystallization(MIC) 과 self bias 효과에 의해 $200^{\circ}C$에서 기판전압을 인가하지 않은 경우에도 결정질 Si이 성장하였다. MIC현상을 이론 및 실험적으로 고찰하였다. 관찰된 상전이는 $Co_2Si \to CoSi \to Cosi_2$로서 유효생성열법칙에 의해 예측된 상전이와 일치하였다. 기판 bias전압 인가시 발생한 이온충돌에 의한 충돌연쇄혼합(collisional cascade mixing), 성장박막 표면의 in situ cleaning, 핵생성처(nucleation site)이 증가로 인하여 상전이, CoSi(111)우선방위, 결정성은 증착온도에 비해 기판bias전압에 더 큰 영향을 받았다. $200^{\circ}C$에서 기판 bias전압을 증가시킴에 따라 이온충돌에 의한 결정입성장이 관찰되었으며, 이를 이온충독파괴(ion bombardment dissociation)모델에 의해 해석하였다. $200^{\circ}C$에서의 기판 bias전압증가에 따른 결정성변화를 정량적으로 고찰하기 위해 Langmuir탐침을 이용하여 $E_{Ar},\; \alpha(V_s)$를 계산하였다.

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Co-Si계의 동시증착과 고상반응시 상전이 및 $CoSi_2$ 층의 저온정합성장 (Phase sequence in Codeposition and Solid State Reaction of Co-Si System and Low Temperature Epitaxial Growth of $CoSi_2$ Layer)

  • 박상욱;심재엽;지응준;최정동;곽준섭;백홍구
    • 한국진공학회지
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    • 제2권4호
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    • pp.439-454
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    • 1993
  • The phase sequence of codeposited Co-Si alloy and Co/si multilayer thin film was investigated by differential scanning calormetry(DSC) and X-ray diffraction (XRD) analysis, The phase sequence in codeposition and codeposited amorphous Co-Si alloy thin film were CoSilongrightarrow Co2Si and those in Co/Si multilayer thin film were CoSilongrightarrowCo2Silongrightarrow and CoSilongrightarrowCo2Si longrightarrowCoSilongrightarrowCoSi2 with the atomic concentration ration of Co to Si layer being 2:1 and 1:2 respectively. The observed phase sequence was analyzed by the effectvie heat of formatin . The phase determining factor (PDF) considering structural facotr in addition to the effectvie heat of formation was used to explain the difference in the first crystalline phase between codeposition, codeposited amorphous Co-Si alloy thin film and Co/Si multilayer thin film. The crystallinity of Co-silicide deposited by multitarget bias cosputter deposition (MBCD) wasinvestigated as a funcion of deposition temperature and substrate bias voltage by transmission electron microscopy (TEM) and epitaxial CoSi2 layer was grown at $200^{\circ}C$ . Parameters, Ear, $\alpha$(As), were calculate dto quantitatively explain the low temperature epitaxial grpwth of CoSi2 layer. The phase sequence and crystallinity had a stronger dependence on the substrate bias voltage than on the deposition temperature due to the collisional daxcade mixing, in-situ cleannin g, and increase in the number of nucleation sites by ion bombardment of growing surface.

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Study on the promotion of inflammation and whitening of natural materials using bioconversion technology

  • Lee, Se-Won;Lim, Jeong-Muk;Lee, Seong-Hyeon;Lee, Jeong-Ho;Oh, Byung-Teak
    • 한국자원식물학회:학술대회논문집
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    • 한국자원식물학회 2018년도 추계학술대회
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    • pp.116-116
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    • 2018
  • Bioconversion, the enzymatic process by microorganism on organic precursor to desired products. The natural extract is converted into a form that can be easily absorbed into the skin, while scaling up of to higher quantity is possible. Selection of naturally processed raw material rather than chemically processed is preferred. Therefore, fermentation was carried out by mixing Rubus coreanus Miquel, soybean, Zanthoxylum schinifolium as bioconverting materials, the possibility of inflammation, whitening material were checked. In this study, useful microorganisms were isolated from various salted fish, and 16S rDNA sequence was analyzed to confirm their genetic characteristics. Combining the three natural materials using bioconversion technology to study their activity before and after fermentation. To evaluate the antioxidant activity and the active ingredient content the DPPH radical scavenging activity and the total polyphenol content were examined. Raw 264.7 cells were used to evaluate MTT assay, NO and $TNF-{\alpha}$ production inhibitory activity. Also, to evaluate the whitening activity, tyrosinase inhibitory activity and melanin formation inhibitory activity were measured using B16F10 cells. In total 34 strains were obtained from various salted fish. The effective strains useful for the bioconversion process, showed that DPPH radical scavenging ability and polyphenol content were increased in the two kinds of microbial treatment groups compared to the untreated group. 16S rDNA sequencing analysis of the strains showed excellent in Pediococcus pentosaceus B1 in comparison. An increase of up-to 156% in anti-oxidative activity and 141% in polyphenol content was observed after bioconversion. In addition, after mixed fermentation the toxidty of Raw 264.7 and B16F10 cells tended to decrease and a significant increase was observed in anti-inflammatory activity as well. Also, tyrosinase activity and melanin significantly. synthesis decreased significantly.

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