• Title/Summary/Keyword: Local statistics

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Shifted Nadaraya Watson Estimator

  • Chung, Sung-S.
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.881-890
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    • 1997
  • The local linear estimator usually has more attractive properties than Nadaraya-Watson estimator. But the local linear estimator gives bad performance where data are sparse. Muller and Song proposed Shifted Nadaraya Watson estimator which has treated data sparsity well. We show that Shifted Nadaraya Watson estimator has good performance not only in the sparse region but also in the dense region, through the simulation study. Ans we suggest the boundary treatment of Shifted Nadaraya Watson estimator.

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Influence Measures for the Likelihood Ratio Test on Independence of Two Random Vectors

  • Jung, Kang-Mo
    • 한국데이터정보과학회:학술대회논문집
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    • 2001.10a
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    • pp.13-16
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    • 2001
  • We compare methods for detecting influential observations that have a large influence on the likelihood ratio test statistics that the two sets of variables are uncorrelated with one another. For this purpose we derive results of the deletion diagnostic, the influence function, the standardized influence matrix and the local influence. An illustrative example is given.

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Fuzzy Hyperpsaces : Fuzzy Compactness

  • K.Hur;C.J. Rhee;J. H. Ryou
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.41-44
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    • 2003
  • First, we investigate some properties of fuzzy compactness. Second, we introduce the concept of fuzzy local compactness in fuzzy topological space and study some of its properties. Finally, we investigate some relations between F-compactness in fuzzy topological spaces and one in fuzzy hyperspaces.

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Adaptive Edge-preserving Image Restoration (EDGE를 보존하는 적응 영상 복원)

  • Kim, Nam Chul;Lee, Jae Dug
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.5
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    • pp.726-731
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    • 1986
  • An effective filtering algorithm which can reduce noise and preserve edges for the restoration of an image degraded by additive white Gaussian noise is presented. The algorithm proposed in this paper is an extension of Lee's algorithm modified to use local gradient information as well as local statistics. It does not require image modeling, and removes noise along the orientaiton of edges so that it does not blur the edge.

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A study on collecting representative food samples for the 10th Korean standard foods composition table (국가표준식품성분 데이터베이스 대표시료 선정을 위한 표본설계)

  • Kim, Jinheum;Hwang, Hae-Won;Cho, Yu Jung;Park, Jinwoo
    • The Korean Journal of Applied Statistics
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    • v.33 no.2
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    • pp.215-228
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    • 2020
  • Under Article 19, Paragraph 1 of the Food Industry Promotion Act, Rural Development Administration renews the Korean foods composition table every five years. Before the publication of the tenth revision of the Korean foods composition table in 2021, this paper suggests methods for collecting representative samples of 182 highly consumed foods in Korea. Food markets are categorized by their distribution channels, which are supermarkets and local markets. Eight samples are collected from each category by applying the National Food and Nutrient Analysis Program (NFNAP)'s stratified multi-stage sampling. The NFNAP was implemented in 1997 as a collaborative food composition research effort between the National Institute of Health (NIH) and the US Department of Agriculture (USDA) to secure reliable estimates for the nutrient content of food and beverages consumed by the US population. Selected supermarkets for selecting representative food samples are Emart Kayang, Homeplus Siheung, Lottemart Dongducheon, Emart Suwon, Lottemart Dunsan, Lottemart Yeosu, Emart Ulsan, and Hanaroclub Ulsan. Selected local markets also are Doksandongusijang in Geumcheon-gu and Pungnapsijang in Songpa-gu, Seoul, Ilsansijang in Ilsanseo-gu, Goyang, Unamsijang in Buk-gu, Gwangju, Beopdongsijang in Daedeok-gu, Daejeon, Bongnaesijang in Yeongdo-gu and Jwadongjaeraesijang in Haeundae-gu, Busan, and Jungangsijang in Jinhae-gu, Changwon.

Estimation of Nonlinear Impulse Responses of Stock Indices by Asset Class

  • Chang, Young-Jae
    • The Korean Journal of Applied Statistics
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    • v.25 no.2
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    • pp.239-249
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    • 2012
  • We estimate nonlinear impulse responses of stock indices by asset class by the Local Projection method as suggested by Jorda (2005) to compute impulse responses. The method estimates impulse responses without the specification and estimation of the underlying multivariate dynamic system unlike the usual way of vector autoregression(VAR). It estimates Local Projections at each period of interest rather than extrapolating into increasingly distant horizons with the advantages of easy estimation and non-linear flexible specification. The Local Projection method adequately captures the nonlinearity and asymmetry of the impulse responses of the stock indices compared to those from VARs.

An Adaptive Gradient-Projection Image Restoration Algorithm with Spatial Local Constraints (공간 영역 제약 정보를 이용한 적응 Gradient-Projection 영상 복원 방식)

  • 송원선;홍민철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.3C
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    • pp.232-238
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    • 2003
  • In this paper, we propose a spatially adaptive image restoration algorithm using local statistics. The local mean, variance, and maximum values are utilized to constrain the solution space, and these parameters are computed at each iteration step using partially restored image. A parameter defined by the user determines the degree of local smoothness imposed on the solution. The resulting iterative algorithm exhibits increased convergence speed when compared to the non-adaptive algorithm. In addition, a smooth solution with a controlled degree of smoothness is obtained. Experimental results demonstrate the capability of the proposed algorithm.

GOODNESS-OF-FIT TEST USING LOCAL MAXIMUM LIKELIHOOD POLYNOMIAL ESTIMATOR FOR SPARSE MULTINOMIAL DATA

  • Baek, Jang-Sun
    • Journal of the Korean Statistical Society
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    • v.33 no.3
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    • pp.313-321
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    • 2004
  • We consider the problem of testing cell probabilities in sparse multinomial data. Aerts et al. (2000) presented T=${{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2$ as a test statistic with the local least square polynomial estimator ${{p}_{i}}^{*}$, and derived its asymptotic distribution. The local least square estimator may produce negative estimates for cell probabilities. The local maximum likelihood polynomial estimator ${{\hat{p}}_{i}}$, however, guarantees positive estimates for cell probabilities and has the same asymptotic performance as the local least square estimator (Baek and Park, 2003). When there are cell probabilities with relatively much different sizes, the same contribution of the difference between the estimator and the hypothetical probability at each cell in their test statistic would not be proper to measure the total goodness-of-fit. We consider a Pearson type of goodness-of-fit test statistic, $T_1={{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2/p_{i}$ instead, and show it follows an asymptotic normal distribution. Also we investigate the asymptotic normality of $T_2={{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2/p_{i}$ where the minimum expected cell frequency is very small.

Sparse Design Problem in Local Linear Quasi-likelihood Estimator (국소선형 준가능도 추정량의 자료 희박성 문제 해결방안)

  • Park, Dong-Ryeon
    • The Korean Journal of Applied Statistics
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    • v.20 no.1
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    • pp.133-145
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    • 2007
  • Local linear estimator has a number of advantages over the traditional kernel estimators. The better performance near boundaries is one of them. However, local linear estimator can produce erratic result in sparse regions in the realization of the design and to solve this problem much research has been done. Local linear quasi-likelihood estimator has many common properties with local linear estimator, and it turns out that sparse design can also lead local linear quasi-likelihood estimator to erratic behavior in practice. Several methods to solve this problem are proposed and their finite sample properties are compared by the simulation study.

On Application of Small Area Estimation to the Unemployment Statistics of Si-Gun-Gu (시군구 실업자 추정을 위한 소지역 추정법)

  • 이계오
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.275-286
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    • 2000
  • After commencing the local self~governing system. it has been requested to make statistics about Si-Gun-Gu level. and the necessity of unemployment statistics in Si-GunGu area has also been proposed as the unemployment became a political issue and social problem due to an I:YIF situation Throughout this paper, therefore, we suggest two small area estimations that can produce the unemployment statistics of Si-Gun-Gu based on the Current Population Survey In addition, we estimate the unemployment number of Si-Gun-Gu in ChungBuk area from the real data of the Current Population Survey. Finally, It was also proved that the applicability of small area estimation was valid in comparison with efficiency of small area estimations.

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