• 제목/요약/키워드: density function

검색결과 3,246건 처리시간 0.032초

Low-energy interband transition effects on extended Drude model analysis of optical data of correlated electron system

  • Hwang, Jungseek
    • 한국초전도ㆍ저온공학회논문지
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    • 제21권3호
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    • pp.6-12
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    • 2019
  • Extended Drude model has been used to obtain information of correlations from measured optical spectra of strongly correlated electron systems. The optical self-energy can be defined by the extended Drude model formalism. One can extract the optical self-energy and the electron-boson spectral density function from measured reflectance spectra using a well-developed usual process, which is consistent with several steps including the extended Drude model and generalized Allen's formulas. Here we used a reverse process of the usual process to investigate the extended Drude analysis when an additional low-energy interband transition is included. We considered two typical electron-boson spectral density model functions for two different (normal and d-wave superconducting) material states. Our results show that the low-energy interband transition might give significant effects on the electron-boson spectral density function obtained using the usual process. However, we expect that the low-energy interband transition can be removed from measured spectra in a proper way if the transition is well-defined or well-known.

An Reliable Non-Volatile Memory using Alloy Nano-Dots Layer with Extremely High Density

  • Lee, Gae-Hun;Kil, Gyu-Hyun;An, Ho-Joong;Song, Yun-Heup
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2009년도 제38회 동계학술대회 초록집
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    • pp.241-241
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    • 2010
  • New non-volatile memory with high density and high work-function metal nano-dots, MND (Metal Nano-Dot) memory, was proposed and fundamental characteristics of MND capacitor were evaluated. In this work, nano-dot layer of FePt with high density and high work-function (~5.2eV) was fabricated as a charge storage site in non-volatile memory, and its electrical characteristics were evaluated for the possibility of non-volatile memory in view of cell operation by Fowler-Nordheim (FN)-tunneling. Here, nano-dot FePt layer was controlled as a uniform single layer with dot size of under ~ 2nm and dot density of ${\sim}\;1.2{\times}10^{13}/cm^2$. Electrical measurements of MOS structure with FePt nano-dot layer shows threshold voltage window of ~ 6V using FN programming and erasing, which is satisfied with operation of the non-volatile memory. Furthermore, this structure provides better data retention characteristics compared to other metal dot materials with the similar dot density in our experiments. From these results, it is expected that this non-volatile memory using FePt nano-dot layer with high dot density and high work-function can be one of candidate structures for the future non-volatile memory.

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A structural model updating method using incomplete power spectral density function and modal data

  • Esfandiari, Akbar;Chaei, Maryam Ghareh;Rofooei, Fayaz R.
    • Structural Engineering and Mechanics
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    • 제68권1호
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    • pp.39-51
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    • 2018
  • In this study, a frequency domain model updating method is presented using power spectral density (PSD) data. It uses the sensitivity of PSD function with respect to the unknown structural parameters through a decomposed form of transfer function. The stiffness parameters are captured with high accuracy through solving the sensitivity equations utilizing the least square approach. Using numerically noise polluted data, the model updating results of a truss model prove robustness of the method against measurement and mass modelling errors. Results prove the capabilities of the method for parameter estimation using highly noise polluted data of low ranges of excitation frequency.

조위자료의 확률밀도함수 추정 (Estimation of Probability Density Function of Tidal Elevation Data)

  • 조홍연;정신택;오영민
    • 한국해안해양공학회지
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    • 제16권3호
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    • pp.152-161
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    • 2004
  • 우리나라 연안 조위자료의 확률밀도함수 형태로 쌍봉형 정규분포 함수 형태를 제안하였다. 빈도분포 해석은 국립해양조사원에서 제공하는 인천, 군산, 목포, 제주, 여수, 마산, 가덕도, 부산, 포항, 속초 검조소의 1시간 간격 조위자료를 사용하였다. RMS 오차 및 결정계수($R^2$) 값을 비교ㆍ분석한 결과, 조위자료의 확률밀도함수로 본 연구에서 제안한 쌍봉형 함수가 기존에 사용하던 정규분포형 함수보다 더 적합한 함수로 파악되었다. 본 연구에서 제안된 함수의 매개변수는 Newton 방법을 수정한 Levenberg-Marquardt 방법으로 추정하였으며, 추정된 매개변수는 분석지점 검조소 자료의 비조화 상수와 밀접한 관계가 있는 것으로 파악되었다.

The shifted Chebyshev series-based plug-in for bandwidth selection in kernel density estimation

  • Soratja Klaichim;Juthaphorn Sinsomboonthong;Thidaporn Supapakorn
    • Communications for Statistical Applications and Methods
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    • 제31권3호
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    • pp.337-347
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    • 2024
  • Kernel density estimation is a prevalent technique employed for nonparametric density estimation, enabling direct estimation from the data itself. This estimation involves two crucial elements: selection of the kernel function and the determination of the appropriate bandwidth. The selection of the bandwidth plays an important role in kernel density estimation, which has been developed over the past decade. A range of methods is available for selecting the bandwidth, including the plug-in bandwidth. In this article, the proposed plug-in bandwidth is introduced, which leverages shifted Chebyshev series-based approximation to determine the optimal bandwidth. Through a simulation study, the performance of the suggested bandwidth is analyzed to reveal its favorable performance across a wide range of distributions and sample sizes compared to alternative bandwidths. The proposed bandwidth is also applied for kernel density estimation on real dataset. The outcomes obtained from the proposed bandwidth indicate a favorable selection. Hence, this article serves as motivation to explore additional plug-in bandwidths that rely on function approximations utilizing alternative series expansions.

Saddlepoint approximations for the ratio of two independent sequences of random variables

  • Cho, Dae-Hyeon
    • Journal of the Korean Data and Information Science Society
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    • 제9권2호
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    • pp.255-262
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    • 1998
  • In this paper, we study the saddlepoint approximations for the ratio of independent random variables. In Section 2, we derive the saddlepoint approximation to the probability density function. In Section 3, we represent a numerical example which shows that the errors are small even for small sample size.

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Robustness of Predictive Density and Optimal Treatment Allocation to Non-Normal Prior for The Mean

  • Bansal, Ashok K.;Sinha, Pankaj
    • Journal of the Korean Statistical Society
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    • 제22권2호
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    • pp.235-247
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    • 1993
  • The predictive density function of a potential future observation and its first four moments are obtained in this paper to study the effects of a non-normal prior of the unknown mean of a normal population. The derived predictive density function is modified to study changes in utility curves, used to choose the optimum treatment from a given set of treatments, at a given level of stimulus due to slight deviations from normality of the prior distribution. Numerical illustrations are provided to exhibit some effectsl.

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도수밀도(Frequency density)의 수학적 연결성과 지도방안 (Mathematical Connection and Teaching Methods of Frequency Density)

  • 김소민
    • 한국학교수학회논문집
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    • 제23권4호
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    • pp.509-521
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    • 2020
  • 본 연구는 싱가포르 교과서와 영국의 중등 졸업 자격시험 항목에서 도수밀도(frequency density)라는 개념을 발견하면서 시작되었다. 도수밀도의 수학적 의미를 파악하기 위해 도수밀도 개념의 수학적 연결성을 수학 내적 연결성과 수학 외적 연결성 측면에서 고찰하고, 이에 관한 지도 방안을 소개하고자 하였다. 수학 내적 연결성 측면에서는 고등학교 연속확률분포 단원의 연속확률변수와 확률밀도함수와의 연계성을 탐구하였고, 수학 외적 연결성 측면에서는 중학교 과학 교과의 밀도 개념과의 연계성을 탐구하였다. 연구 결과, 수학적 연결성을 바탕으로 도수밀도 개념의 도입 필요성을 제시했다. 도수밀도의 도입과 지도 방안에 대해서는 싱가포르의 중등 2학년 수학 교과서를 소개하였다. 싱가포르 교과서에서는 비균등 구간의 자료를 히스토그램으로 올바르게 표현하고 정확하게 해석하기 위한 방법으로 도수밀도를 도입하고 있다. 따라서 우리나라도 도수밀도를 도입함으로써 확률밀도함수와 상대도수밀도, 그리고 도수밀도 사이의 수학 내적 연결성을 강조하여 일관성 있게 지도하고, 도수밀도의 과학 교과와의 외적 연결성을 고려하며, 도수밀도 도입 방법으로 싱가포르의 지도 방안을 고려해 볼 수 있겠다.