• Communications for Statistical Applications and Methods
• /
• 제12권1호
• /
• pp.169-179
• /
• 2005

In this study, we investigate the effects of the weight function in the bounded influence regression quantile (BIRQ) estimator for the AR(l) model with additive outliers. In order to down-weight the outliers of X -axis, the Mallows' (1973) weight function has been commonly used in the BIRQ estimator. However, in our Monte Carlo study, the BIRQ estimator using the Tukey's bisquare weight function shows less MSE and bias than that of using the Mallows' weight function or Huber's weight function. Thus, the use of the Tukey's weight function is recommended in the BIRQ estimator for our model.

• Journal of the Korean Data and Information Science Society
• /
• 제22권3호
• /
• pp.589-596
• /
• 2011

The conditional autoregressive value at risk (CAViaR) model is useful for risk management, which does not require the assumption that the conditional distribution does not vary over time but the volatility does. But it does not provide volatility forecasts, which are needed for several important applications such as option pricing and portfolio management. For a variety of probability distributions, it is known that there is a constant relationship between the standard deviation and the distance between symmetric quantiles in the tails of the distribution. This inspires us to use a support vector quantile regression (SVQR) for volatility forecasts with the distance between CAViaR forecasts of symmetric quantiles. Simulated example and real example are provided to indicate the usefulness of proposed forecasting method for volatility.

• 응용통계연구
• /
• 제21권4호
• /
• pp.631-638
• /
• 2008

가속수명시험은 실제 사용조건보다 열악한 수준으로 시험하여 빠른 기간 내에 제품의 고장자료를 얻고, 실제 사용조건에서의 수명관련 품질 특성치를 추정하는 방법이다. 본 논문에서는 가속수명 자료를 이용하여 분위수 회귀추정 방법을 통해 정상 조건에서의 수명을 추정하는 방법을 제안한다. 대표적인 가속 스트레스인 온도와 전압을 갖는 실제 자료에 분위수 회귀 모형을 적용하여 수명을 추정하였다.

• Communications for Statistical Applications and Methods
• /
• 제20권4호
• /
• pp.259-270
• /
• 2013

This paper considers a penalized composite quantile regression (CQR) that performs a variable selection in the linear model with grouped variables. An adaptive sup-norm penalized CQR (ASCQR) is proposed to select variables in a grouped manner; in addition, the consistency and oracle property of the resulting estimator are also derived under some regularity conditions. To improve the efficiency of estimation and variable selection, this paper suggests the two-stage penalized CQR (TSCQR), which uses the ASCQR to select relevant groups in the first stage and the adaptive lasso penalized CQR to select important variables in the second stage. Simulation studies are conducted to illustrate the finite sample performance of the proposed methods.

• Journal of the Korean Data and Information Science Society
• /
• 제24권3호
• /
• pp.625-636
• /
• 2013

In this paper we study four kernel machines for estimating expected shortfall, which are constructed through combinations of support vector quantile regression (SVQR), restricted SVQR (RSVQR), least squares support vector machine (LS-SVM) and support vector expectile regression (SVER). These kernel machines have obvious advantages such that they achieve nonlinear model but they do not require the explicit form of nonlinear mapping function. Moreover they need no assumption about the underlying probability distribution of errors. Through numerical studies on two artificial an two real data sets we show their effectiveness on the estimation performance at various confidence levels.

• Communications for Statistical Applications and Methods
• /
• 제14권3호
• /
• pp.609-621
• /
• 2007

Diagnostic test results, which are approximately normal with a few number of outliers, but non-normal probability distribution, are frequently observed in practice. In the evaluation of two diagnostic tests, Greenhouse and Mantel (1950) proposed a parametric test under the assumption of normality but this test is inappropriate for the above non-normal case. In this paper, we propose a computationally simple nonparametric test that is based on quantile estimators of mean and standard deviation, instead of the moment-based mean and standard deviation as in some parametric tests. Parametric and nonparametric tests are compared with simulations under the assumption of, respectively, normality and non-normality, and under various combinations of the probability distributions for the normal and diseased groups.

• Communications for Statistical Applications and Methods
• /
• 제17권2호
• /
• pp.183-191
• /
• 2010

Support vector quantile regression(SVQR) is capable of providing more complete description of the linear and nonlinear relationships among random variables. In this paper we propose an iterative reweighted least squares(IRWLS) procedure to solve the problem of SVQR with a weighted quadratic loss function. Furthermore, we introduce the generalized approximate cross validation function to select the hyperparameters which affect the performance of SVQR. Experimental results are then presented which illustrate the performance of the IRWLS procedure for SVQR.

• Communications for Statistical Applications and Methods
• /
• 제28권1호
• /
• pp.81-88
• /
• 2021

k-least quantile of squares (k-LQS) estimates are a generalization of least median of squares (LMS) estimates. They have not been used as much as LMS because their breakdown points become small as k increases. But if the size of outliers is assumed to be fixed LQS estimates yield a good fit to the majority of data and residuals calculated from LQS estimates can be a reliable tool to detect outliers. We propose to use LQS estimates for separating a clean set from the data in the context of outlyingness of the cases. Three procedures are suggested for the identification of outliers using LQS estimates. Examples are provided to illustrate the methods. A Monte Carlo study show that proposed methods are effective.

• Asian Journal of Innovation and Policy
• /
• 제12권2호
• /
• pp.155-176
• /
• 2023

This paper employs datasets from the Enterprise Survey conducted by the World Bank to examine the relationship between four types of innovation defined by the Oslo Manual (OECD, 2005): product innovation, process innovation, marketing innovation, organization innovation, and the firm performance in the selected developing ASEAN economies. The main objective of this paper is to understand the characteristics of innovation activities at the firm level and how various innovation types affect firm performance. The empirical results from ASEAN manufacturing firms reveal that product innovation positively affects firms' performance, while non-technological innovations are negatively related to the performance of firms. The further employed quantile regression provides more insights into the roles of innovation types on different levels of firm performance: while product and process innovations actively contribute to the small and medium-size firms (below 25^th quantile and median), organizational and marketing innovations negatively affect them. Interestingly, the role of process innovation decreases when firm performance grows.

• 한국수자원학회논문집
• /
• 제45권8호
• /
• pp.815-826
• /
• 2012

기존 Ordinary Regression (OR) 방법을 이용한 경향성 분석은 경향성을 과소평가하는 문제점을 나타낸다. 이러한 점에서 본 연구에서는 자료의 정규분포 가정과 평균을 중심으로 경향성 평가가 이루어지는 기존 Ordinary Regression (OR) 방법을 개선한 Quantile Regression (QR) 방법을 제안하였다. 본 연구에서는 64개 강우 관측지점의 연 최대 극대강수량 자료에 대하여 QR 방법과 OR 방법에 대하여 통계적 성능을 평가하였다. QR 방법의경향성 분석결과 47개 지점에서 5% 오차수준 내에서 t-검정을 통과한 반면 OR 방법에서는 13개 지점 만이 통계적 유의성을 가지는 것으로 나타났다. 이는 OR 방법이 자료의 평균을 중심으로 경향성을 평가하는 기법인데 반해 QR은 자료의 다양한 분위에서 경향성을 평가함으로써 극대 및 극소 부분에서의 경향성을 보다 유연하게 감지하는 이유로 판단된다. QR 방법을 통한 경향성 평가는 평균 중심의 해석문제점을 개선할 수 있으며 자료가 정규분포를 따르지 않거나 왜곡된 분포형태를 갖는 자료의 수문학적 경향성 평가에 유용하게 사용될 수 있을 것으로 판단된다.