• 제목/요약/키워드: second-order expansion

검색결과 323건 처리시간 0.021초

On Asymptotically Optimal Plug-in Bandwidth Selectors in Kernel Density Estimation

  • Song, Moon-Sup;Seog, Kyung-Ha;Sin sup Cho
    • Journal of the Korean Statistical Society
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    • 제20권1호
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    • pp.29-43
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    • 1991
  • Two data-based bandwidth selectors which are optimal in the sense that they achieve n$\^$-$\frac{1}{2}$/ rate of convergence in kernel density estimation are proposed. The proposed bandwidth selectors are constructed by modifying Park and Marron's plug-in method. The first modification is taking Taylor expansion of the mean integrated squared error to two more terms than in the case of plug-in method. The second is estimating more accurately the functionals of the unknown density appeared in the minimizer of the expansion by using higher order kernels. The proposed bandwidth selectors were proved to be optimal in terms of convergence rate. According to small-sample Monte Carlo studies, the proposed bandwidth selectors showed better performance than all the other bandwidth selectors considered in the simulation.

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볼텍스 튜브의 에너지 분리 현상에 관한 수치해석 연구 (Study of Energy Separation Mechanism in Vortex Tube by CFD)

  • 최원철;정명균
    • 대한기계학회논문집B
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    • 제32권2호
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    • pp.92-99
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    • 2008
  • The "energy separation phenomenon" through a vortex tube has been a long-standing mechanical engineering problem whose operational principle is not yet known. In order to find the operational principle of the vortex tube, CFD analysis of the flow field in the vortex tube has been carried out. It was found that the energy separation mechanism in the vortex tube consists of basically two major thermodynamic-fluid mechanical processes. One is the isentropic expansion process at the inlet nozzle, during which the gas temperature is nearly isentropically cooled. Second process is the viscous dissipation heating due to the high level of turbulence in both flow passages toward cold gas exit as well as the hot gas exit of the vortex tube. Since the amount of such a viscous heating is different between the two passages, the gas temperature at the cold exit is much lower than that at the hot exit.

대칭 확대 도관에서의 비대칭 흐름에 관한 연구 (Numerical Investigation of Asymmetric Flow in a Symmetric Channel with Sudden Expansion)

  • 민병광;장근식
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1996년도 춘계 학술대회논문집
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    • pp.68-73
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    • 1996
  • The full incompressible Navier-Stokes equations are numerically integrated to solve the unsteady channel flow using a new numerical scheme of second-order accuracy developed by the authors. It is well known that in spite of the symmetry in the boundary condition and geometry, asymmetry can develop with time-dependency in a channel with sudden expansion. The instability of the shear flow and the cross-channel pressure contribute to such asymmetric flow. In this paper, we successfully generated a channel flow in which vortex waves were propagated downstream due to the harmonically oscillating inlet flow. The structure of the eddies and wall vorticity are parametrically investigated.

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Fourier 방법을 이용한 불균일 고체의 탄성파전달해석 (An analysis of elastic wave propagation in inhomogeneous solids using the Fourier method)

  • 김현실
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1998년도 학술발표대회 논문집 제17권 1호
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    • pp.327-330
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    • 1998
  • Wave propagation in inhomogeneous elastic media is studied by using the Fourier method, where the spatial derivatives are computed by the FFT algorithm, while the time derivatives are expanded into the second order finite different expansion. For numerical examples, wave propagation in the layered half-plane are investigated. The comparisons of numerical and analytic results shows good agreement.

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균열을 내포하는 직방성재료의 해석 (Analysis of Orthotropic Materials with Crack)

  • 임원균
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2001년도 춘계학술대회
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    • pp.179-184
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    • 2001
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by the use of second order term in the series expansion is important for the accurate determination of crack growth direction.

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Edgeworth Expansion and Bootstrap Approximation for Survival Function Under Koziol-Green Model

  • Kil Ho;Seong Hwa
    • Communications for Statistical Applications and Methods
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    • 제7권1호
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    • pp.233-244
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    • 2000
  • Confidence intervals for survival function give useful information about the lifetime distribution. In this paper we develop Edgeworkth expansions as approximation to the true and bootstrap distributions of normalized nonparametric maximum likelihood estimator of survival function in the Koziol-Green model and then use these results to show that the bootstrap approximations have second order accuracy.

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Non-Pilot-Aided Timing Offset Estimation for OFDM Systems with Frequency Diversity

  • 양현;유영환
    • 한국방송∙미디어공학회:학술대회논문집
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    • 한국방송공학회 2006년도 학술대회
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    • pp.175-177
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    • 2006
  • This letter deals with non-pilot-aided symbol timing estimation methods in an orthogonal frequency division multiplexing (OFDM) system. To do this, OFDM system uses a frequency diversity scheme over two consecutive data symbols. Our approach can be viewed as an expansion of Schmidl's and Minn's correlation methods. Using the OFDM signal equipped with frequency diversity, however, symbol timing is accurately estimated without additional training symbol and a second-order diversity gain is achieved.

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Bayesian 방법에 의한 잡음감소 방법에 관한 연구 (Wavelet Denoising based on a Bayesian Approach)

  • 이문직;정진현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 G
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    • pp.2956-2958
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    • 1999
  • The classical solution to the noise removal problem is the Wiener filter, which utilizes the second-order statistics of the Fourier decomposition. We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in non-parametric regression. A prior distribution is imposed on the wavelet coefficients of the unknown response function, designed to capture the sparseness of wavelet expansion common to most application. For the prior specified, the posterior median yields a thresholding procedure

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The Critical Phenomena of a Model for the Metabolic Control System with Positive Feedback

  • Kim, Cheol-Ju;Lee, Dong- J.;Shin, Kook-Joe;Lee, Jong-Myung;Ko, Seuk-Beum;Jeon, Il-Cheol
    • Bulletin of the Korean Chemical Society
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    • 제10권5호
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    • pp.452-458
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    • 1989
  • The static and dynamic phenomena of a model for the metabolic control system with positive feedback are discussed with the static and dynamic renormalization group theory. Then, the explicit results for the static and dynamic exponents are obtained up to the second order of ${\varepsilon}$-expansion, ${\varepsilon}$ being 4-d, where d is the space dimensionality of the system.

Trellis-coded .pi./4 shift QPSK with sliding multiple symbol detection흐름 다중심벌검파를 적용한 트렐리스 부호화된 .pi./4 shift QPSK

  • 전찬우;박이홍;김종일
    • 한국통신학회논문지
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    • 제21권2호
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    • pp.483-494
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    • 1996
  • In this paper, we proposed the receive decoder and Virterbi algorithm with sliding multiple symbol detection using MLSE. the informationis transmitted by the phase difference of the adjacent channel signal at the .pi./4 shift QPSK. In order to apply the .pi./4 shift QPSK to TCM, we use the signal set expansion and the signal set partition by the phase differences. And the Viterbi decoder containing branch mertrice of the squared Euclidean distance of the first, second and Lth order phase difference is introduced in order to extract the information in the differential detection of the Trellis-Coded .pi./4 shift QPSK. The proposed Viterbi decoder and receiver are conceptually same to the sliding multiple symbol detection method using the MLSE. By uisng this method, the study shows that the Trellis-Coded .pi./4 shift QPSK is an attractive scheme for the power and the bandimited systems while also improving the BER performance when the Viterbi decoder is employed to the Lth order phase difference metrics.

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