• Title/Summary/Keyword: Robust Statistics

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Comparative Advantages and Disadvantages of Five Northeast Asian Cities

  • Hahn, Yeong-Joo
    • Journal of the Korean Regional Science Association
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    • v.15 no.2
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    • pp.117-130
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    • 1999
  • Northeast Asia's burgeoning mage- cities have an extraordinarily economic vitality. While national statistics disguies how economic activity is concentrated, much of the region's robust growth of recent decades has centered around large cities, such as Tokyo, Seoul, Beijing, Shaghia, Hongkong. These cities are also at the heart of the Northeast Asia's emerging reional economy. This paper aims to compare the advantages and disad- vantages of these selected Northeast Asia cities in various categories of urban competitiveness and cooperation. Above all, the paper compares the individual cities with one another, and analyzes relations and linkages among them. Then, strengths that can be reinforced and weakness that can be overcome are identified for each city. Finally, an urban development strategy for Seoul in the context development strategy for Seoul in the context of Northeast Asian cities is provided : I) Seoul should strive to be an effective regional capital of Northeast Asia ; ii) Seoul should be a focal point for the intermingling of Chinese, Japanese and Western cultures.

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Mixture response surface methodology for improving the current operating condition (현재의 공정조건을 향상시키기 위한 혼합물 반응표면 방법론)

  • Lim, Yong-B.
    • Journal of Korean Society for Quality Management
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    • v.38 no.3
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    • pp.413-424
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    • 2010
  • Mixture experiments involve combining ingredients or components of a mixture and the response is a function of the proportions of ingredients which is independent of the total amount of a mixture. The purpose of the mixture experiments is to find the optimum blending at which responses such as the flavor and acceptability are maximized. We assume the quadratic or special cubic canonical polynomial model over the experimental region for a mixture since the current mixture is assumed to be located in the neighborhood of the optimal mixture. The cost of the mixture is proportional to the cost of the ingredients of the mixture and is the linear function of the proportions of the ingredients. In this paper, we propose mixture response surface methods to develop a mixture such that the cost is down more than ten percent as well as mean responses are as good as those from the current mixture. The proposed methods are illustrated with the well known the flare experimental data described by McLean and Anderson(1966).

Nonparametric test for ordered alternatives in multifactor designeds (다요인실험계획에서 순서대립가설에 대한 비모수검정법의 연구)

  • 김동희;임동훈
    • The Korean Journal of Applied Statistics
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    • v.3 no.1
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    • pp.11-25
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    • 1990
  • The objective of this paper is to propose a nonparametric distribution-free test for ordered alternatives in k crossed factor designs by using the concepts of combined factor and within-blocks ranks. We investigate the asymptotic normality of the proposed test statistic and the Pitman efficiencies. We also compared the small empirical powers of the tests considered in this paper by Monte Carlo study. Thus we can conclude that the proposed test is efficient and robust for the underlying distribution.

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Calibration by Median Regression

  • Jinsan Yang;Lee, Seung-Ho
    • Journal of the Korean Statistical Society
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    • v.28 no.2
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    • pp.265-277
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    • 1999
  • Classical and inverse estimation methods are two well known methods in statistical calibration problems. When there are outliers, both methods have large MSE's and could not estimate the input value correctly. We suggest median calibration estimation based on the LD-statistics. To investigate the robust performances, the influence function of the median calibration estimator is calculated and compared with other methods. When there are outliers in the response variables, the influence function is found to be bounded. In simulation studies, the MSE's for each calibration methods are compared. The estimated inputs as well as the performance of the influence functions are calculated.

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On the Robustness of $L_1$-estimator in Linear Regression Models

  • Bu-Yong Kim
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.277-287
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    • 1995
  • It is well kmown that the $L_1$-estimator is robust with respect to vertical outliers in regression data, even if it is susceptible to bad leverage points. This article is concerned with the robustness of the $L_1$-estimator. To investigate its robustness against vertical outliers we may find intervals for the value of the response variable within which the $L_1$-estimates do not shange. A procedure for constructing those intervals in multiple limear regression is illustrated in the sensitivity analysis context. And then vertical breakdown point of the $L_1$-estimator is defined on the basis of properties related to those intervals.

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Regression Analysis of Longitudinal Data Based on M-estimates

  • Jung, Sin-Ho;Terry M. Therneau
    • Journal of the Korean Statistical Society
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    • v.29 no.2
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    • pp.201-217
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    • 2000
  • The method of generalized estimating equations (GEE) has become very popular for the analysis of longitudinal data. We extend this work to the use of M-estimators; the resultant regression estimates are robust to heavy tailed errors and to outliers. The proposed method does not require correct specification of the dependence structure between observation, and allows for heterogeneity of the error. However, an estimate of the dependence structure may be incorporated, and if it is correct this guarantees a higher efficiency for the regression estimators. A goodness-of-fit test for checking the adequacy of the assumed M-estimation regression model is also provided. Simulation studies are conducted to show the finite-sample performance of the new methods. The proposed methods are applied to a real-life data set.

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On Rice Estimator in Simple Regression Models with Outliers (이상치가 존재하는 단순회귀모형에서 Rice 추정량에 관해서)

  • Park, Chun Gun
    • The Korean Journal of Applied Statistics
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    • v.26 no.3
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    • pp.511-520
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    • 2013
  • Detection outliers and robust estimators are crucial in regression models with outliers. In such studies the focus is on detecting outliers and estimating the coefficients using leave-one-out. Our study introduces Rice estimator which is an error variance estimator without estimating the coefficients. In particular, we study a comparison of the statistical properties for Rice estimator with and without outliers in simple regression models.

Principles for constructing taguchi experimental designs (다구찌 실험계획의 구성원리에 관한 연구)

  • 염봉진;이병윤;고선우;김재환
    • The Korean Journal of Applied Statistics
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    • v.4 no.1
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    • pp.47-63
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    • 1991
  • Parameter design is the core of the Taguchi method, and its purpose is to design product or processes such that the performance of product becomes robust to noise. Taguchi recommends to use the so called orthogonal arrays for parameter design. The purpose of this paper is to clarify the principles involved in constructing the Taguchi orthogonal arrays. Understanding such principles may be useful for finding better ways of utilizing the Taguchi orthogonal arrays as well as for developing better experimental designs.

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Weighted Support Vector Machines with the SCAD Penalty

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • v.20 no.6
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    • pp.481-490
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    • 2013
  • Classification is an important research area as data can be easily obtained even if the number of predictors becomes huge. The support vector machine(SVM) is widely used to classify a subject into a predetermined group because it gives sound theoretical background and better performance than other methods in many applications. The SVM can be viewed as a penalized method with the hinge loss function and penalty functions. Instead of $L_2$ penalty function Fan and Li (2001) proposed the smoothly clipped absolute deviation(SCAD) satisfying good statistical properties. Despite the ability of SVMs, they have drawbacks of non-robustness when there are outliers in the data. We develop a robust SVM method using a weight function with the SCAD penalty function based on the local quadratic approximation. We compare the performance of the proposed SVM with the SVM using the $L_1$ and $L_2$ penalty functions.

Performance Assessment of Several Established Pitch Detection Algorithms in Voices of Benign Vocal Fold Lesions (양성후두 질환 음성에 대한 여러 기존 피치검출 알고리즘의 성능 평가)

  • Jang, Seung-Jin;Choi, Seong-Hee;Kim, Hyo-Min;Choi, Hong-Shik;Yoon, Young-Ro
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.407-408
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    • 2007
  • Robust pitch estimation is an important study in many areas of speech processing. In voice pathology, diverse statistics extracted form pitch were commonly used to test voice quality. In this study, we compared several established pitch detection algorithms (PDAs) for verification of adequacy of the PDAs. In the database of total pathological voices of 99 and normal voices of 30, an analysis of errors related with pitch detection was evaluated between pathological and normal voices, or among the types of pathological voices such as benign vocal fold lesions; polyp, nodule, and cysts. Consequently, it is required to survey the severity of tested voice in order to obtain accurate pitch estimates.

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