• 제목/요약/키워드: local polynomial regression

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A Comparison Study on the Error Criteria in Nonparametric Regression Estimators

  • Chung, Sung-S.
    • Journal of the Korean Data and Information Science Society
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    • 제11권2호
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    • pp.335-345
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    • 2000
  • Most context use the classical norms on function spaces as the error criteria. Since these norms are all based on the vertical distances between the curves, these can be quite inappropriate from a visual notion of distance. Visual errors in Marron and Tsybakov(1995) correspond more closely to "what the eye sees". Simulation is performed to compare the performance of the regression smoothers in view of MISE and the visual error. It shows that the visual error can be used as a possible candidate of error criteria in the kernel regression estimation.

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QUASI-LIKELIHOOD REGRESSION FOR VARYING COEFFICIENT MODELS WITH LONGITUDINAL DATA

  • Kim, Choong-Rak;Jeong, Mee-Seon;Kim, Woo-Chul;Park, Byeong-U.
    • Journal of the Korean Statistical Society
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    • 제33권4호
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    • pp.367-379
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    • 2004
  • This article deals with the nonparametric analysis of longitudinal data when there exist possible correlations among repeated measurements for a given subject. We consider a quasi-likelihood regression model where a transformation of the regression function through a link function is linear in time-varying coefficients. We investigate the local polynomial approach to estimate the time-varying coefficients, and derive the asymptotic distribution of the estimators in this quasi-likelihood context. A real data set is analyzed as an illustrative example.

Adaptive Regression by Mixing for Fixed Design

  • Oh, Jong-Chul;Lu, Yun;Yang, Yuhong
    • Communications for Statistical Applications and Methods
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    • 제12권3호
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    • pp.713-727
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    • 2005
  • Among different regression approaches, nonparametric procedures perform well under different conditions. In practice it is very hard to identify which is the best procedure for the data at hand, thus model combination is of practical importance. In this paper, we focus on one dimensional regression with fixed design. Polynomial regression, local regression, and smoothing spline are considered. The data are split into two parts, one part is used for estimation and the other part is used for prediction. Prediction performances are used to assign weights to different regression procedures. Simulation results show that the combined estimator performs better or similarly compared with the estimator chosen by cross validation. The combined estimator generates a similar risk to the best candidate procedure for the data.

가능도함수를 이용한 로그분산함수의 불연속점 검정 (Testing of a discontinuity point in the log-variance function based on likelihood)

  • 허집
    • Journal of the Korean Data and Information Science Society
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    • 제20권1호
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    • pp.1-9
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    • 2009
  • 회귀모형의 분산함수가 알려져 있지 않은 한 점에서 불연속이라 가정하자. Yu와 Jones (2004)는 음이 아닌 값을 취하는 분산함수를 실수 값을 취하도록 하기 위하여 로그 변환하였고, 변환된 로그분산함수를 국소다항적합으로 추정하였다. 로그분산함수의 국소다항적합을 이용하여, Huh (2008)는 분산함수의 불연속점의 추정하는 대신 로그분산함수의 불연속점을 추정하였다. 본 연구는 Huh의 점프의 크기 추정량의 점근분포를 이용하여 로그분산함수의 불연속점의 존재여부에 대한 가설검정을 제안하고, 제안한 방법에 대한 모의실험 결과를 제시하고자 한다.

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Number of sampling leaves for reflectance measurement of Chinese cabbage and kale

  • Chung, Sun-Ok;Ngo, Viet-Duc;Kabir, Md. Shaha Nur;Hong, Soon-Jung;Park, Sang-Un;Kim, Sun-Ju;Park, Jong-Tae
    • 농업과학연구
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    • 제41권3호
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    • pp.169-175
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    • 2014
  • Objective of this study was to investigate effects of pre-processing method and number of sampling leaves on stability of the reflectance measurement for Chinese cabbage and kale leaves. Chinese cabbage and kale were transplanted and cultivated in a plant factory. Leaf samples of the kale and cabbage were collected at 4 weeks after transplanting of the seedlings. Spectra data were collected with an UV/VIS/NIR spectrometer in the wavelength region from 190 to 1130 nm. All leaves (mature and young leaves) were measured on 9 and 12 points in the blade part in the upper area for kale and cabbage leaves, respectively. To reduce the spectral noise, the raw spectral data were preprocessed by different methods: i) moving average, ii) Savitzky-Golay filter, iii) local regression using weighted linear least squares and a $1^{st}$ degree polynomial model (lowess), iv) local regression using weighted linear least squares and a $2^{nd}$ degree polynomial model (loess), v) a robust version of 'lowess', vi) a robust version of 'loess', with 7, 11, 15 smoothing points. Effects of number of sampling leaves were investigated by reflectance difference (RD) and cross-correlation (CC) methods. Results indicated that the contribution of the spectral data collected at 4 sampling leaves were good for both of the crops for reflectance measurement that does not change stability of measurement much. Furthermore, moving average method with 11 smoothing points was believed to provide reliable pre-processed data for further analysis.

가능도함수를 이용한 불연속점 수의 추정 (Estimation of the number of discontinuity points based on likelihood)

  • 허집
    • Journal of the Korean Data and Information Science Society
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    • 제21권1호
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    • pp.51-59
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    • 2010
  • 일반화선형모형에서 회귀함수가 하나의 불연속점을 가질 때, Huh (2009)는 하나의 모수를 가지는 지수족의 가능도함수를 한쪽방향커널을 이용하여 그 불연속점의 위치와 점프크기를 추정하였다. 이 논문에서는 미지의 불연속점 수 q개를 가지는 회귀함수인 경우에, Huh (2009)가 제안한 점프크기 추정량의 점근분포를 이용한 가설검정법을 소개하고, 그 가설검정법을 이용한 불연속점 수를 추정하는 알고리듬을 제안하고, 모의실험을 통하여 추정의 정도를 알아보고자 한다.

Epidemiological application of the cycle threshold value of RT-PCR for estimating infection period in cases of SARS-CoV-2

  • Soonjong Bae;Jong-Myon Bae
    • Journal of Medicine and Life Science
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    • 제20권3호
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    • pp.107-114
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    • 2023
  • Epidemiological control of coronavirus disease 2019 (COVID-19) is needed to estimate the infection period of confirmed cases and identify potential cases. The present study, targeting confirmed cases for which the time of COVID-19 symptom onset was disclosed, aimed to investigate the relationship between intervals (day) from symptom onset to testing the cycle threshold (CT) values of real-time reverse transcription-polymerase chain reaction. Of the COVID-19 confirmed cases, those for which the date of suspected symptom onset in the epidemiological investigation was specifically disclosed were included in this study. Interval was defined as the number of days from symptom onset (as disclosed by the patient) to specimen collection for testing. A locally weighted regression smoothing (LOWESS) curve was applied, with intervals as explanatory variables and CT values (CTR for RdRp gene and CTE for E gene) as outcome variables. After finding its non-linear relationship, a polynomial regression model was applied to estimate the 95% confidence interval values of CTR and CTE by interval. The application of LOWESS in 331 patients identified a U-shaped curve relationship between the CTR and CTE values according to the number of interval days, and both CTR and CTE satisfied the quadratic model for interval days. Active application of these results to epidemiological investigations would minimize the chance of failing to identify individuals who are in contact with COVID-19 confirmed cases, thereby reducing the potential transmission of the virus to local communities.

동적 DGPS 측위에 의한 투영중심좌표 결정을 위한 수신기 위치의 보간 (Correction of Antenna Position for Projection Center Coordinates by Kinematic DGPS-Positioning)

  • 이종출;문두열;신상철
    • 한국측량학회지
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    • 제15권2호
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    • pp.165-173
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    • 1997
  • 동적 DGPS 측위에 의해 결정된 투영중심 좌표를 이용한 결합 번들블럭조정은 높은 정확도를 가지게 되었으며, 지상좌표 표준편차가 $\pm$10cm 이내로 결정될 수 있다. 이러한 정확도 수준에서는 더 작은 오차 성분이 중요하게 되었으며, 이 가운데 중요한 것은 GPS-Antenna 위치 사이에서 시간의 함수로 투영중심을 보간하는 것이다. 선형보간은 비행기의 비선형 움직움을 고려하지 않는 반면 최소제곱 다항식에 의한 보간은 비행기의 거동이 더 정확하게 고려되고, 위성의 상실과 신호차단 등에 의한 GPS위치의 과대오차를 소거하여 준다. 본 연구대상지 RHEINKAMP에서 3초의 시간을 이용한 보간은 MAA의 6-7초의 시간간격을 이용한 보간과는 다르며, 이러한 GPS위치는 국부회귀 다항식에 의하여 과대오차로 확인되었고, 이것은 정확한 블럭조정을 위해서는 무시할 수 없다.

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NSGA-II 를 통한 송풍기 블레이드의 다중목적함수 최적화 (Multi-Objective Optimization of a Fan Blade Using NSGA-II)

  • 이기상;김광용;압두스사마드
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.2690-2695
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    • 2007
  • This work presents numerical optimization for design of a blade stacking line of a low speed axial flow fan with a fast and elitist Non-Dominated Sorting of Genetic Algorithm (NSGA-II) of multi-objective optimization using three-dimensional Navier-Stokes analysis. Reynolds-averaged Navier-Stokes (RANS) equations with ${\kappa}-{\varepsilon}$ turbulence model are discretized with finite volume approximations and solved on unstructured grids. Regression analysis is performed to get second order polynomial response which is used to generate Pareto optimal front with help of NSGA-II and local search strategy with weighted sum approach to refine the result obtained by NSGA-II to get better Pareto optimal front. Four geometric variables related to spanwise distributions of sweep and lean of blade stacking line are chosen as design variables to find higher performed fan blade. The performance is measured in terms of the objectives; total efficiency, total pressure and torque. Hence the motive of the optimization is to enhance total efficiency and total pressure and to reduce torque.

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Multi-Objective Shape Optimization of an Axial Fan Blade

  • Samad, Abdus;Lee, Ki-Sang;Kim, Kwang-Yong
    • International Journal of Air-Conditioning and Refrigeration
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    • 제16권1호
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    • pp.1-8
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    • 2008
  • Numerical optimization for design of a blade stacking line of a low speed axial flow fan with a fast and elitist Non-Dominated Sorting of Genetic Algorithm(NSGA-II) of multi-objective optimization using three-dimensional Navier-Stokes analysis is presented in this work. Reynolds-averaged Navier-Stokes(RANS) equations with ${\kappa}-{\varepsilon}$ turbulence model are discretized with finite volume approximations and solved on unstructured grids. Regression analysis is performed to get second order polynomial response which is used to generate Pareto optimal front with help of NSGA-II and local search strategy with weighted sum approach to refine the result obtained by NSGA-II to get better Pareto optimal front. Four geometric variables related to spanwise distributions of sweep and lean of blade stacking line are chosen as design variables to find higher performed fan blade. The performance is measured in terms of the objectives; total efficiency, total pressure and torque. Hence the motive of the optimization is to enhance total efficiency and total pressure and to reduce torque.