• 제목/요약/키워드: Sample Fourier coefficients

검색결과 8건 처리시간 0.02초

CHANGE-POINT ESTIMATION WITH SAMPLE FOURIER COEFFICIENTS

  • 김재희
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2002년도 추계 학술발표회 논문집
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    • pp.109-114
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    • 2002
  • In this paper we propose a change-point estimator with left and right regressions using the sample Fourier coefficients on the orthonormal bases. The asymptotic properties of the proposed change-point estimator are established. The limiting distribution and the consistency of the estimator are derived.

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Kolmogorov-Smirnov Type Test for Change with Sample Fourier Coefficients

  • Kim, Jae-Hee
    • Journal of the Korean Statistical Society
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    • 제25권1호
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    • pp.123-131
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    • 1996
  • The problerm of testing for a constant mean is considered. A Kolmogorov-Smirnov type test using the sample Fourier coefficients is suggested and its asymptotic distribution is derived. A simulation study shows that the proposed test is more powerful than the cusum type test when there is more than one change-point or there is a cyclic change.

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Change Analysis with the Sample Fourier Coefficients

  • Jaehee Kim
    • Communications for Statistical Applications and Methods
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    • 제3권1호
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    • pp.207-217
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    • 1996
  • The problem of detecting change with independent data is considered. The asymptotic distribution of the sample change process with the sample Fourier coefficients is shown as a Brownian Bridge process. We suggest to use dynamic statistics such as a sample Brownian Bridge and graphs as statistical animation. Graphs including change PP plots are given by way of illustration with the simulated data.

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A Change-point Estimator with Unsymmetric Fourier Series

  • Kim, Jaehee
    • Journal of the Korean Statistical Society
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    • 제31권4호
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    • pp.533-543
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    • 2002
  • In this paper we propose a change-point estimator with left and right regressions using the sample Fourier coefficients on the orthonormal bases. The window size is different according to the data in the left side and in the right side at each point. The asymptotic properties of the proposed change-point estimator are established. The limiting distribution and the consistency of the estimator are derived.

첨단 나노소자 공정제어용 측정기술 연구 (Studies of process measurement technology for manufacturing advanced nano devices)

  • 조용재
    • 진공이야기
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    • 제2권3호
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    • pp.4-10
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    • 2015
  • We developed a real-time three-polarizer spectroscopic ellipsometer based on a new data acquisition algorithm and a general data reduction (the process of extracting the ellipsometric sample parameters from the Fourier coefficients). The data acquisition algorithm measures Fourier coefficients of radiant flux waveform accurately and precisely. The general data reduction is introduced to represent the analytic functions of the standard uncertainties of the ellipsometric sample parameters, and the extracted theoretical values closely agree with the corresponding experimental data. Our approach can be used for optimization of measurement conditions, instrumentation, simulation, standardization, laboratory accreditation, and metrology.

Multiple change-point estimation in spectral representation

  • Kim, Jaehee
    • Communications for Statistical Applications and Methods
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    • 제29권1호
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    • pp.127-150
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    • 2022
  • We discuss multiple change-point estimation as edge detection in piecewise smooth functions with finitely many jump discontinuities. In this paper we propose change-point estimators using concentration kernels with Fourier coefficients. The change-points can be located via the signal based on Fourier transformation system. This method yields location and amplitude of the change-points with refinement via concentration kernels. We prove that, in an appropriate asymptotic framework, this method provides consistent estimators of change-points with an almost optimal rate. In a simulation study the proposed change-point estimators are compared and discussed. Applications of the proposed methods are provided with Nile flow data and daily won-dollar exchange rate data.

Quantitative Analysis by Diffuse Reflectance Infrared Fourier Transform and Linear Stepwise Multiple Regression Analysis I -Simultaneous quantitation of ethenzamide, isopropylantipyrine, caffeine, and allylisopropylacetylurea in tablet by DRIFT and linear stepwise multiple regression analysis-

  • Park, Man-Ki;Yoon, Hye-Ran;Kim, Kyoung-Ho;Cho, Jung-Hwan
    • Archives of Pharmacal Research
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    • 제11권2호
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    • pp.99-113
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    • 1988
  • Quantitation of ethenzamide, isopropylantipyrine and caffeine takes about 41 hrs by conventional GC method. Quantitation of allylisoprorylacetylurea takes about 40 hrs by conventional UV method. But quantitation of them takes about 6 hrs by DRIFT developing method. Each standard and sample sieved, powdered and acquired DRIFT spectrum. Out of them peak of each component was selected and ratio of each peak to standard peak was acquired, and then linear stepwise multiple regression was performed with these data and concentration. Reflectance value, Kubelka-Munk equation and Inverse-Kubelka-Munk equation were modified by us. Inverse-Kubelka-Munk equation completed the deficit of Kubelka-Munk equation. Correlation coefficients acquired by conventioanl GC and UV against DRIFT were more than 0.95.

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2차원 바코드를 이용한 오디오 워터마킹 알고리즘 (A digital Audio Watermarking Algorithm using 2D Barcode)

  • 배경율
    • 지능정보연구
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    • 제17권2호
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    • pp.97-107
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    • 2011
  • 본 논문에서는 2차원 바코드를 이용한 오디오 워터마킹 알고리즘을 제안하였다. 삽입되는 워터마크 정보로는 2차원 바코드인 QR 코드를 변형하여 이용하였다. 2차원 바코드가 1차원 바코드에 비하여 많은 정보를 표현할 수 있고, 코드자체가 에러 보정능력을 내재하고 있는 장점을 이용하여 워터마킹 알고리즘의 견고성을 높였다. 또한 부분적인 워터마크 정보의 손실에 대응하기 위하여 직교코드를 이용하여 삽입대역을 확산했으며, 삽입강도 0.7에서 50dB 이상의 우수한 품질을 확보할 수 있었다.