• 제목/요약/키워드: Local regression

검색결과 1,136건 처리시간 0.026초

Penalized rank regression estimator with the smoothly clipped absolute deviation function

  • Park, Jong-Tae;Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제24권6호
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    • pp.673-683
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    • 2017
  • The least absolute shrinkage and selection operator (LASSO) has been a popular regression estimator with simultaneous variable selection. However, LASSO does not have the oracle property and its robust version is needed in the case of heavy-tailed errors or serious outliers. We propose a robust penalized regression estimator which provide a simultaneous variable selection and estimator. It is based on the rank regression and the non-convex penalty function, the smoothly clipped absolute deviation (SCAD) function which has the oracle property. The proposed method combines the robustness of the rank regression and the oracle property of the SCAD penalty. We develop an efficient algorithm to compute the proposed estimator that includes a SCAD estimate based on the local linear approximation and the tuning parameter of the penalty function. Our estimate can be obtained by the least absolute deviation method. We used an optimal tuning parameter based on the Bayesian information criterion and the cross validation method. Numerical simulation shows that the proposed estimator is robust and effective to analyze contaminated data.

A Study on Kernel Type Discontinuity Point Estimations

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
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    • 제14권4호
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    • pp.929-937
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    • 2003
  • Kernel type estimations of discontinuity point at an unknown location in regression function or its derivatives have been developed. It is known that the discontinuity point estimator based on $Gasser-M\ddot{u}ller$ regression estimator with a one-sided kernel function which has a zero value at the point 0 makes a poor asymptotic behavior. Further, the asymptotic variance of $Gasser-M\ddot{u}ller$ regression estimator in the random design case is 1.5 times larger that the one in the corresponding fixed design case, while those two are identical for the local polynomial regression estimator. Although $Gasser-M\ddot{u}ller$ regression estimator with a one-sided kernel function which has a non-zero value at the point 0 for the modification is used, computer simulation show that this phenomenon is also appeared in the discontinuity point estimation.

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Regression discontinuity for survival data

  • Youngjoo Cho
    • Communications for Statistical Applications and Methods
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    • 제31권1호
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    • pp.155-178
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    • 2024
  • Regression discontinuity (RD) design is one of the most widely used methods in causal inference for estimation of treatment effect when the treatment is created by a cutpoint from the covariate of interest. There has been little attention to RD design, although it provides a very useful tool for analysis of treatment effect for censored data. In this paper, we define the causal effect for survival function in RD design when the treatment is assigned deterministically by the covariate of interest. We propose estimators of this causal effect for survival data by using transformation, which leads unbiased estimator of the survival function with local linear regression. Simulation studies show the validity of our approach. We also illustrate our proposed method using the prostate, lung, colorectal and ovarian (PLCO) dataset.

이차 자기회구오차 구조를 갖는 선형회귀모형의 자료영향도 평가 (Assessing Local Influence in Linear Regression Models with Second-Order Autoregressive Error Structure)

  • 김순귀;이영훈;정동빈
    • 품질경영학회지
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    • 제28권2호
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    • pp.57-69
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    • 2000
  • This paper discusses the local influence approach to the linear regression models with AR(2) errors. Diagnostics for the linear regression models with AR(2) errors are proposed and developed when simultaneous perturbations of the response vector are allowed- That is, the direction of maximum curvature of local influence analysis is obtained by studying the curvature of a surface associated with the overall discrepancy measure.

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How to identify fake images? : Multiscale methods vs. Sherlock Holmes

  • Park, Minsu;Park, Minjeong;Kim, Donghoh;Lee, Hajeong;Oh, Hee-Seok
    • Communications for Statistical Applications and Methods
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    • 제28권6호
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    • pp.583-594
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    • 2021
  • In this paper, we propose wavelet-based procedures to identify the difference between images, including portraits and handwriting. The proposed methods are based on a novel combination of multiscale methods with a regularization technique. The multiscale method extracts the local characteristics of an image, and the distinct features are obtained through the regularized regression of the local characteristics. The regularized regression approach copes with the high-dimensional problem to build the relation between the local characteristics. Lytle and Yang (2006) introduced the detection method of forged handwriting via wavelets and summary statistics. We expand the scope of their method to the general image and significantly improve the results. We demonstrate the promising empirical evidence of the proposed method through various experiments.

Influence diagnostics for skew-t censored linear regression models

  • Marcos S Oliveira;Daniela CR Oliveira;Victor H Lachos
    • Communications for Statistical Applications and Methods
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    • 제30권6호
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    • pp.605-629
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    • 2023
  • This paper proposes some diagnostics procedures for the skew-t linear regression model with censored response. The skew-t distribution is an attractive family of asymmetrical heavy-tailed densities that includes the normal, skew-normal and student's-t distributions as special cases. Inspired by the power and wide applicability of the EM-type algorithm, local and global influence analysis, based on the conditional expectation of the complete-data log-likelihood function are developed, following Zhu and Lee's approach. For the local influence analysis, four specific perturbation schemes are discussed. Two real data sets, from education and economics, which are right and left censoring, respectively, are analyzed in order to illustrate the usefulness of the proposed methodology.

다중회귀분석을 통한 지역문화축제의 수익성 모형 개발 연구 (A Multiple Regression Analysis on Developing the Profitability Model of Local Cultural Festivals)

  • 최락인
    • 한국컴퓨터정보학회논문지
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    • 제16권10호
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    • pp.229-239
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    • 2011
  • 본 연구는현재 각지역에서 시행되고 있는 우리나라의 지역문화축제가 관주도의 연례행사로서 이루어지는 폐해를 극복하고 지역주민의 자발적인 참여를 이끌어내고 보다 효과적인 홍보와 마케팅을 연계한 외부 관광객의 참여를 유도하여 지역문화의 구심점이 될 수 있는 지역문화축제의 수익성 모델을 제시하고자 한다. 축제는 그 이름만으로 매력적이고 사람들에게 흥겨움과 호기심을 불어넣을 수 있지만, 축제행사가 일회성이 아닌 지속적인 행사로 유지 확대 발전하기 위해서는 수요자 중심의 서비스 품질에 도달할 수 있는 노력이 절대적으로 필요하다. 현재 우리나라 각 지역에서 많은 위험(리스크)을 안고서도 집행될 수밖에 없는 지역축제의 서비스 특성을 고려하여 수익 창출을 실현하는 수익성 모형을 개발하여 그 활성화 방안을 제시하는데 그 목적을 두고 있다. 이를 위하여 기존 연구와 자료 및 전문가의 의견을 바탕으로 다중회귀분석을 통하여 분석하였다.

척색종의 방사선 치료 (Radiation Therapy of a Chordoma of the Thoracic Vertebra -A Case Report and Review of Literatures-)

  • 김주영;최명선
    • Radiation Oncology Journal
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    • 제6권2호
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    • pp.295-300
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    • 1988
  • Chordoma is a malignant tumor arising from the primitive notochord involving the axial skeleton. It usually occurs at sacrococcygeal and besisphenoidal area but only rarely does at other vertebral areas, especially at the thoracic vertebrae. It has a slow growth rate and is locally aggressive with an extremely high rate of local recurrence. Either surgery or radiation alone often fails to cure the disease and the local failure is the main cause of treatment failure and death. Overall 5 year survival rate is less than $10\%$. Useful palliation or occasional cure can be obtained by the combination of surgery and radiotherapy. After incomplete resection, the tumor requires radiation dose of 7,000 cGy or more over 6-7 weeks for local control. Tumor regression is slow in response to irradiation and continuation of the regression for several months after completion of RT is not unusual. We report a case of chordoma of the thoracic vertebra, the site of extreme rarity, which showed good local control after partial resection and radiation therapy. He is well and alive without any evidence of recurrence after 13 months of treatment with near complete tumor regression.

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우리나라의 지역 특성이 지역 경제 성장에 미치는 요인과 영향 분석 (Analyzing Factors and Impacts of Regional Characteristics to Regional Economic Growth in South Korea)

  • 김근영
    • 도시과학
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    • 제9권1호
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    • pp.41-49
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    • 2020
  • This study analyzed the factors affecting economic growth using multiple regression model and Geographically Weighted Regression in consideration of population, industry and employment, housing and political characteristics on economic growth by region. The analysis results are summarized as follows. First, the total employment growth rate, manufacturing employment growth rate, local election turnout and the level of party consensus between the central and local governments are having a positive impact on regional economic growth. Second, according to the GWR analysis, the population has a positive impact on economic growth in the southern region of Korea, and the increase in the total number of employees has a positive impact on the southern region of Gyeonggi Province, Gangwon Province, North Chungcheong Province and North Gyeongsang Province. Finally, the voter turnout of urbanites is positively affecting economic growth in South Chungcheong Province, Gangwon Province and the southern coast, while North Jeolla and South Jeolla provinces have a positive impact on economic growth as the parties of the central and local governments are equal. The results of this study may suggest the role of local government for regional economic development.

상수관망 유수율과 유지관리 비용의 관계 분석 (An Investigation of the Relationship between Revenue Water Ratio and the Operating and Maintenance Cost of Water Supply Network)

  • 김재희;유광태;전환돈;장재선
    • 한국물환경학회지
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    • 제28권2호
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    • pp.202-212
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    • 2012
  • Due to the deterioration of water supply network and the deficiency of raw water, the water utility of local governments have performed various projects to improve their revenue water ratio. However, it is very difficult to estimate the cost for maintaining the revenue water ratio at higher level after completing the project, because local governments have different conditions affecting the operating and maintenance cost of water supply network. The purpose of this study is to present a procedure to estimate the operating and maintenance cost required to maintain the target revenue water ratio of the water supply network. For this purpose, we estimated the cost used only for operation and maintenance of water supply network of 164 local governments with the aid of K-Mean Clustering Analysis and the data from 40 representative local governments. Then, the regression analysis was performed to find relationship between revenue water ratio and the operating and maintenance cost with two different data sets generated by two classification methods; the first method classifies the local governments by means of k-means clustering, and the other classifies the local governments according to the index standardized by the operating and maintenance cost per unit length of water mains per revenue water ratio. The results shows that the method based on the index standardized by the cost and revenue water ratio of each government produces more reliable results for finding regression equations between revenue water ratio and the operating and maintenance cost only for water supply network. The estimated regression equations for each group can be used to estimate the cost required to keep the target revenue water ratio of the local government.