• Title/Summary/Keyword: regression statistics

Search Result 5,318, Processing Time 0.036 seconds

Prediction of extreme PM2.5 concentrations via extreme quantile regression

  • Lee, SangHyuk;Park, Seoncheol;Lim, Yaeji
    • Communications for Statistical Applications and Methods
    • /
    • v.29 no.3
    • /
    • pp.319-331
    • /
    • 2022
  • In this paper, we develop a new statistical model to forecast the PM2.5 level in Seoul, South Korea. The proposed model is based on the extreme quantile regression model with lasso penalty. Various meteorological variables and air pollution variables are considered as predictors in the regression model, and the lasso quantile regression performs variable selection and solves the multicollinearity problem. The final prediction model is obtained by combining various extreme lasso quantile regression estimators and we construct a binary classifier based on the model. Prediction performance is evaluated through the statistical measures of the performance of a binary classification test. We observe that the proposed method works better compared to the other classification methods, and predicts 'very bad' cases of the PM2.5 level well.

Some Remarks on the Likelihood Inference for the Ratios of Regression Coefficients in Linear Model

  • Kim, Yeong-Hwa;Yang, Wan-Yeon;Kim, M.J.;Park, C.G.
    • Journal of the Korean Data and Information Science Society
    • /
    • v.15 no.1
    • /
    • pp.251-261
    • /
    • 2004
  • The paper focuses primarily on the standard linear multiple regression model where the parameter of interest is a ratio of two regression coefficients. The general model includes the calibration model, the Fieller-Creasy problem, slope-ratio assays, parallel-line assays, and bioequivalence. We provide an orthogonal transformation (cf. Cox and Reid (1987)) of the original parameter vector. Also, we give some remarks on the difficulties associated with likelihood based confidence interval.

  • PDF

Comparative Study on Imputation Procedures in Exponential Regression Model with missing values

  • Park, Young-Sool;Kim, Soon-Kwi
    • Journal of the Korean Data and Information Science Society
    • /
    • v.14 no.2
    • /
    • pp.143-152
    • /
    • 2003
  • A data set having missing observations is often completed by using imputed values. In this paper, performances and accuracy of five imputation procedures are evaluated when missing values exist only on the response variable in the exponential regression model. Our simulation results show that adjusted exponential regression imputation procedure can be well used to compensate for missing data, in particular, compared to other imputation procedures. An illustrative example using real data is provided.

  • PDF

Iterative Support Vector Quantile Regression for Censored Data

  • Shim, Joo-Yong;Hong, Dug-Hun;Kim, Dal-Ho;Hwang, Chang-Ha
    • Communications for Statistical Applications and Methods
    • /
    • v.14 no.1
    • /
    • pp.195-203
    • /
    • 2007
  • In this paper we propose support vector quantile regression (SVQR) for randomly right censored data. The proposed procedure basically utilizes iterative method based on the empirical distribution functions of the censored times and the sample quantiles of the observed variables, and applies support vector regression for the estimation of the quantile function. Experimental results we then presented to indicate the performance of the proposed procedure.

Regression Quantiles Under Censoring and Truncation

  • Park, Jin-Ho;Kim, Jin-Mi
    • Communications for Statistical Applications and Methods
    • /
    • v.12 no.3
    • /
    • pp.807-818
    • /
    • 2005
  • In this paper we propose an estimation method for regression quantiles with left-truncated and right-censored data. The estimation procedure is based on the weight determined by the Kaplan-Meier estimate of the distribution of the response. We show how the proposed regression quantile estimators perform through analyses of Stanford heart transplant data and AIDS incubation data. We also investigate the effect of censoring on regression quantiles through simulation study.

Weighted LS-SVM Regression for Right Censored Data

  • Kim, Dae-Hak;Jeong, Hyeong-Chul
    • Communications for Statistical Applications and Methods
    • /
    • v.13 no.3
    • /
    • pp.765-776
    • /
    • 2006
  • In this paper we propose an estimation method on the regression model with randomly censored observations of the training data set. The weighted least squares support vector machine regression is applied for the regression function estimation by incorporating the weights assessed upon each observation in the optimization problem. Numerical examples are given to show the performance of the proposed estimation method.

Self-tuning Robust Regression Estimation

  • Park, You-Sung;Lee, Dong-Hee
    • Proceedings of the Korean Statistical Society Conference
    • /
    • 2003.10a
    • /
    • pp.257-262
    • /
    • 2003
  • We introduce a new robust regression estimator, self-tuning regression estimator. Various robust estimators have been developed with discovery for theories and applications since Huber introduced M-estimator at 1960's. We start by announcing various robust estimators and their properties, including their advantages and disadvantages, and furthermore, new estimator overcomes drawbacks of other robust regression estimators, such as ineffective computation on preserving robustness properties.

  • PDF

Imputation Procedures in Weibull Regression Analysis in the presence of missing values

  • Kim Soon-kwi;Jeong Bong-Bin
    • Proceedings of the Korean Statistical Society Conference
    • /
    • 2001.11a
    • /
    • pp.143-148
    • /
    • 2001
  • A dataset having missing observations is often completed by using imputed values. In this paper the performances and accuracy of complete case methods and four imputation procedures are evaluated when missing values exist only on the response variables in the Weibull regression model. Our simulation results show that compared to other imputation procedures, in particular, hotdeck and Weibull regression imputation procedure can be well used to compensate for missing data. In addition an illustrative real data is given.

  • PDF

Bootstrapping Composite Quantile Regression (복합 분위수 회귀에 대한 붓스트랩 방법의 응용)

  • Seo, Kang-Min;Bang, Sung-Wan;Jhun, Myoung-Shic
    • The Korean Journal of Applied Statistics
    • /
    • v.25 no.2
    • /
    • pp.341-350
    • /
    • 2012
  • Composite quantile regression model is considered for iid error case. Since the regression coefficients are the same across different quantiles, composite quantile regression can be used to combine the strength across multiple quantile regression models. For the composite quantile regression, bootstrap method is examined for statistical inference including the selection of the number of quantiles and confidence intervals for the regression coefficients. Feasibility of the bootstrap method is demonstrated through a simulation study.

A Study on Risk Evaluation of Crime in the Seoul Metropolitan Area based on Poisson Regression Model

  • Kim, Hag-Yeol;Yu, Hye-Kyung;Park, Man-Sik;Heo, Tae-Young
    • The Korean Journal of Applied Statistics
    • /
    • v.25 no.5
    • /
    • pp.865-875
    • /
    • 2012
  • In this study, we identify the variables that affect the number of crime and spatial correlation in the Seoul metropolitan area, in addition, we measure the relative risk on the incidence of crime by a Poisson regression model. We suggest a statistical methodology to make a risk map for crime based on relative risk instead of the total event of crime by region using the Geographic Information System. To demonstrate the use and advantages of this methodology, this study presents an analyses of the total crime count in 25 wards in the Seoul metropolitan area.