• Title/Summary/Keyword: 커널모수

Search Result 52, Processing Time 0.026 seconds

A New Nonparametric Method for Prediction Based on Mean Squared Relative Errors (평균제곱상대오차에 기반한 비모수적 예측)

  • Jeong, Seok-Oh;Shin, Key-Il
    • Communications for Statistical Applications and Methods
    • /
    • v.15 no.2
    • /
    • pp.255-264
    • /
    • 2008
  • It is common in practice to use mean squared error(MSE) for prediction. Recently, Park and Shin (2005) and Jones et al. (2007) studied prediction based on mean squared relative error(MSRE). We proposed a new nonparametric way of prediction based on MSRE substituting Jones et al. (2007) and provided a small simulation study which highly supports the proposed method.

Bandwidth selections based on cross-validation for estimation of a discontinuity point in density (교차타당성을 이용한 확률밀도함수의 불연속점 추정의 띠폭 선택)

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
    • /
    • v.23 no.4
    • /
    • pp.765-775
    • /
    • 2012
  • The cross-validation is a popular method to select bandwidth in all types of kernel estimation. The maximum likelihood cross-validation, the least squares cross-validation and biased cross-validation have been proposed for bandwidth selection in kernel density estimation. In the case that the probability density function has a discontinuity point, Huh (2012) proposed a method of bandwidth selection using the maximum likelihood cross-validation. In this paper, two forms of cross-validation with the one-sided kernel function are proposed for bandwidth selection to estimate the location and jump size of the discontinuity point of density. These methods are motivated by the least squares cross-validation and the biased cross-validation. By simulated examples, the finite sample performances of two proposed methods with the one of Huh (2012) are compared.

Quantile causality from dollar exchange rate to international oil price (원유가격에 대한 환율의 인과관계 : 비모수 분위수검정 접근)

  • Jeong, Kiho
    • Journal of the Korean Data and Information Science Society
    • /
    • v.28 no.2
    • /
    • pp.361-369
    • /
    • 2017
  • This paper analyzes the causal relationship between dollar exchange rate and international oil price. Although large literature on the relationship has accumulated, results are not unique but diversified. Based on the idea that such diversified results may be due to different causality at different economic status, we considers an approach to test the causal relationship at each quantile. This approach is different from the mean causality analysis widely employed by the existing literature of the causal relationship. In this paper, monthly data from May 1987 to 2013 is used for the causal analysis in which Brent oil price and Major Currencies Dollar Index (MCDI) are considered. The test method is the nonparametric test for causality in quantile suggested by Jeong et al. (2012). The results show that although dollar exchange rate causes oil price in mean, the causal relationship does not exist at most quantiles.

Varying coefficient model with errors in variables (가변계수 측정오차 회귀모형)

  • Sohn, Insuk;Shim, Jooyong
    • Journal of the Korean Data and Information Science Society
    • /
    • v.28 no.5
    • /
    • pp.971-980
    • /
    • 2017
  • The varying coefficient regression model has gained lots of attention since it is capable to model dynamic changes of regression coefficients in many regression problems of science. In this paper we propose a varying coefficient regression model that effectively considers the errors on both input and response variables, which utilizes the kernel method in estimating the varying coefficient which is the unknown nonlinear function of smoothing variables. We provide a generalized cross validation method for choosing the hyper-parameters which affect the performance of the proposed model. The proposed method is evaluated through numerical studies.

Spatial Distribution of the Levels of Water Pollutants in Han River (수질오염도의 공간적 분포 변화 분석 : 한강 유역을 대상으로)

  • Kim, Kwang-Soo;Kwon, Oh-Sang
    • Environmental and Resource Economics Review
    • /
    • v.18 no.1
    • /
    • pp.105-138
    • /
    • 2009
  • This study investigates the spatial distribution of the degree of water pollutants in Han River using data obtained by the water pollution observation stations. This study estimates a non -parametric kernel density function for each water pollutants, and tests a significant difference between two estimated distribution functions. Next, Generalized Entropy inequality indices are evaluated and this research tests difference of inequality indices between two years using bootstrapping method. Lastly in a dynamic of view, it is analyzed that there are significant changes in the ranking of water pollution level. Estimation results show that the degree of inequality in spatial distribution of water pollution tends to be stable or decreasing for last 15 years in a great part of water pollutants, and ranking of water pollution level hardly changes in Han River.

  • PDF

Analysis of market share attraction data using LS-SVM (최소제곱 서포트벡터기계를 이용한 시장점유율 자료 분석)

  • Park, Hye-Jung
    • Journal of the Korean Data and Information Science Society
    • /
    • v.20 no.5
    • /
    • pp.879-886
    • /
    • 2009
  • The purpose of this article is to present the application of Least Squares Support Vector Machine in analyzing the existing structure of brand. We estimate the parameters of the Market Share Attraction Model using a non-parametric technique for function estimation called Least Squares Support Vector Machine, which allows us to perform even nonlinear regression by constructing a linear regression function in a high dimensional feature space. Estimation by Least Squares Support Vector Machine technique makes it a good candidate for solving the Market Share Attraction Model. To illustrate the performance of the proposed method, we use the car sales data in South Korea's car market.

  • PDF

Selection of bandwidth for local linear composite quantile regression smoothing (국소 선형 복합 분위수 회귀에서의 평활계수 선택)

  • Jhun, Myoungshic;Kang, Jongkyeong;Bang, Sungwan
    • The Korean Journal of Applied Statistics
    • /
    • v.30 no.5
    • /
    • pp.733-745
    • /
    • 2017
  • Local composite quantile regression is a useful non-parametric regression method widely used for its high efficiency. Data smoothing methods using kernel are typically used in the estimation process with performances that rely largely on the smoothing parameter rather than the kernel. However, $L_2$-norm is generally used as criterion to estimate the performance of the regression function. In addition, many studies have been conducted on the selection of smoothing parameters that minimize mean square error (MSE) or mean integrated square error (MISE). In this paper, we explored the optimality of selecting smoothing parameters that determine the performance of non-parametric regression models using local linear composite quantile regression. As evaluation criteria for the choice of smoothing parameter, we used mean absolute error (MAE) and mean integrated absolute error (MIAE), which have not been researched extensively due to mathematical difficulties. We proved the uniqueness of the optimal smoothing parameter based on MAE and MIAE. Furthermore, we compared the optimal smoothing parameter based on the proposed criteria (MAE and MIAE) with existing criteria (MSE and MISE). In this process, the properties of the proposed method were investigated through simulation studies in various situations.

Power Comparison between Methods of Empirical Process and a Kernel Density Estimator for the Test of Distribution Change (분포변화 검정에서 경험확률과정과 커널밀도함수추정량의 검정력 비교)

  • Na, Seong-Ryong;Park, Hyeon-Ah
    • Communications for Statistical Applications and Methods
    • /
    • v.18 no.2
    • /
    • pp.245-255
    • /
    • 2011
  • There are two nonparametric methods that use empirical distribution functions and probability density estimators for the test of the distribution change of data. In this paper we investigate the two methods precisely and summarize the results of previous research. We assume several probability models to make a simulation study of the change point analysis and to examine the finite sample behavior of the two methods. Empirical powers are compared to verify which is better for each model.

Generalized kernel estimating equation for panel estimation of small area unemployment rates (소지역 실업률의 패널추정을 위한 일반화커널추정방정식)

  • Shim, Jooyong;Kim, Youngwon;Hwang, Changha
    • Journal of the Korean Data and Information Science Society
    • /
    • v.24 no.6
    • /
    • pp.1199-1210
    • /
    • 2013
  • The high unemployment rate is one of the major problems in most countries nowadays. Hence, the demand for small area labor statistics has rapidly increased over the past few years. However, since sample surveys for producing official statistics are mainly designed for large areas, it is difficult to produce reliable statistics at the small area level due to small sample sizes. Most of existing studies about the small area estimation are related with the estimation of parameters based on cross-sectional data. By the way, since many official statistics are repeatedly collected at a regular interval of time, for instance, monthly, quarterly, or yearly, we need an alternative model which can handle this type of panel data. In this paper, we derive the generalized kernel estimating equation which can model time-dependency among response variables and handle repeated measurement or panel data. We compare the proposed estimating equation with the generalized linear model and the generalized estimating equation through simulation, and apply it to estimating the unemployment rates of 25 areas in Gyeongsangnam-do and Ulsan for 2005.

Data Augmentation using a Kernel Density Estimation for Motion Recognition Applications (움직임 인식응용을 위한 커널 밀도 추정 기반 학습용 데이터 증폭 기법)

  • Jung, Woosoon;Lee, Hyung Gyu
    • Journal of Korea Society of Industrial Information Systems
    • /
    • v.27 no.4
    • /
    • pp.19-27
    • /
    • 2022
  • In general, the performance of ML(Machine Learning) application is determined by various factors such as the type of ML model, the size of model (number of parameters), hyperparameters setting during the training, and training data. In particular, the recognition accuracy of ML may be deteriorated or experienced overfitting problem if the amount of dada used for training is insufficient. Existing studies focusing on image recognition have widely used open datasets for training and evaluating the proposed ML models. However, for specific applications where the sensor used, the target of recognition, and the recognition situation are different, it is necessary to build the dataset manually. In this case, the performance of ML largely depends on the quantity and quality of the data. In this paper, training data used for motion recognition application is augmented using the kernel density estimation algorithm which is a type of non-parametric estimation method. We then compare and analyze the recognition accuracy of a ML application by varying the number of original data, kernel types and augmentation rate used for data augmentation. Finally experimental results show that the recognition accuracy is improved by up to 14.31% when using the narrow bandwidth Tophat kernel.