• 제목/요약/키워드: statistical deconvolution

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Wavelet Estimation of Regression Functions with Errors in Variables

  • Kim, Woo-Chul;Koo, Ja-Yong
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.849-860
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    • 1999
  • This paper addresses the issue of estimating regression function with errors in variables using wavelets. We adopt a nonparametric approach in assuming that the regression function has no specific parametric form, To account for errors in covariates deconvolution is involved in the construction of a new class of linear wavelet estimators. using the wavelet characterization of Besov spaces the question of regression estimation with Besov constraint can be reduced to a problem in a space of sequences. Rates of convergence are studied over Besov function classes $B_{spq}$ using $L_2$ error measure. It is shown that the rates of convergence depend on the smoothness s of the regression function and the decay rate of characteristic function of the contaminating error.

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Determination of the Kinetic Energy Release Originating from the Reverse Critical Energy in Unimolecular ion Dissociation

  • Yeh, In-Chul;Lee, Tae-Geol;Kim, Myung-Soo
    • Bulletin of the Korean Chemical Society
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    • 제15권3호
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    • pp.241-245
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    • 1994
  • A method has been developed to estimate the kinetic energy release originating from the reverse critical energy in unimolecular ion dissociation. Contribution from the excess energy was estimated by RRKM theory, the statistical adiabatic model and the modified phase space calculation. This was subtracted from the experimental kinetic energy release distribution (KERD) via deconvolution. The present method has been applied to the KERDs in $H_2$, loss from $C_6H_6^+$ and HF loss from ${CH_2CF_2}^+$. In the present formalism, not only the energy in the reaction coordinate but also the energy in some transitional vibrational degrees of freedom at the transition state is thought to contribute to the experimental kinetic energy release. Details of the methods for treating the transitional modes are found not to be critical to the final outcome. For a reaction with small excess energy and large reverse critical energy. KERD is shown to be mainly governed by the reverse critical energy.

LDV계측에 의한 동축노즐의 분무특성 연구 (A study on the spray characteristics of a coaxial nozzle by LDV measurement)

  • 윤석주;노병준
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1613-1620
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    • 1990
  • 본 연구에서는 일반적인 레이저 유속계를 사용하여 광전 증폭관내에 핀흘 대 신에 슬릿(slit)을 장치하고 광전증폭관을 측정영역에 90˚가 되도록 설치하여 in-situ calibration을 수행함으로써 분무의 입경과 속도를 동시에 계측할수 있다는 Yoon의 결과를 이용하고 모든 입자들의 궤적은 동일한 확률을 갖는다는 Yule와 Holve, Self의 가정을 기초로한 수학적인 Deconvolution에 의하여 계측방법에 발생되는 모순 점을 해결하였다. 일반적으로 분무특성해석을 위해서는 분무를 지배하는 기하학적인 변수, 입경분포, 액적의 속도분포, 밀도분포, 입경과 속도의 상관계수, 입자의 증발율 등이 규명 되어야하는데 본 연구에서는 이상류 동축노즐을 제작하고 이의 분무특성을 해석하기위하여 액적의 속도분포, 입경분포, 입경과 속도의 상관계수, 수밀도분포 등 을 계측하였다.

2016년 9월 12일 M5.8 경주지진의 데미지 포텐셜 분석 및 내진공학 측면의 시사점 (Damage Potential Analysis and Earthquake Engineering-related Implications of Sep.12, 2016 M5.8 Gyeongju Earthquake)

  • 이철호;박지훈;김태진;김성용;김동관
    • 한국지진공학회논문집
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    • 제20권7_spc호
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    • pp.527-536
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    • 2016
  • This paper investigates seismic damage potential of recent September 12 M5.8 Gyeongju earthquake from diverse earthquake engineering perspectives using the accelerograms recorded at three stations near the epicenter. In time domain, strong motion durations are evaluated based on the accelerograms and compared with statistical averages of the ground motions with similar magnitude, epicentral distance and soil conditions, while Fourier analysis using FFT is performed to identify damaging frequency contents contained in the earthquake. Effective peak ground accelerations are evaluated from the calculated response spectra and compared with apparent peak ground accelerations and the design spectrum in KBC 2016. All these results are used to consistently explain the reason why most of seismic damage in the earthquake was concentrated on low-rise stiff buildings but not quite significant. In order to comparatively appraise the damage potential, the constant ductility spectrum constructed from the Gyeongju earthquake is compared with that of the well-known 1940 El Centro earthquake. Deconvolution analysis by using one accelerogram speculated to be recorded at a stiff soil site is also performed to estimate the soil profile conforming to the response spectrum characteristics. Finally, response history analysis for 39- and 61-story tall buildings is performed as a case study to explain significant building vibration felt on the upper floors of some tall buildings in Busan area during the Gyeongju earthquake. Seismic design and retrofit implications of M5.8 Gyeongju earthquake are summarized for further research efforts and improvements of relevant practice.