• Bulletin of the Korean Mathematical Society
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• v.51 no.5
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• pp.1399-1409
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• 2014

In this article, we establish the $\mathfrak{F}_p$-uniform moderate deviation principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.418-418
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• 2012

현재 전 세계적으로 온실가스 농도 증가로 호우나 가뭄, 대설 등 지역에 따라 서로 상반되는 변화를 가져올 수 있다고 경고되고 있으며, 우리나라에서도 남해안지역과 경기북부지역에서 호우빈도가 증가하는 반면, 충정도 내륙지역과 경상북도에서는 호우빈도가 감소하고 5일 누적 강수량 또한 감소하여, 해당지역에서 가뭄이 발생할 경우 심화될 가능성이 높아진다고 보고된 바 있다. 기후변화 시나리오에 분석결과에서도 우리나라의 경우 평균적으로 강우일수는 작아지며, 강우강도는 커지는 결과들이 도출되었다. 이러한 결과들은 가뭄의 발생가능성이 높아지고 있음을 보여주고 있다. 본 연구에서는 우리나라에서 발생된 가뭄의 특성을 분석하고 가뭄의 특성과 기상인자간의 관계를 Quantile regression 분석을 통해 살펴보고자 한다. 가뭄의 특성과 기상인자(엘니뇨, 강수량 등)의 관계에 있어서 기상인자들의 평균을 이용하는 일반적인 회귀분석은 전체 데이터의 영향에 따른 가뭄특성인자와의 관계를 보여준다. 하지만 강수량과 가뭄과의 관계에서와 같이 강수량의 극값보다는 적은 강수량 혹은 무강우일수가 가뭄과 밀접한 관련을 보여준다. 이러한 점에서 이상치들에 영향을 배재할 수 있는 Quantile regression을 사용하여 Quantile에 따른 기상인자와 가뭄특성과의 관계를 규명하고 평가해 보고자 한다. 본 연구에서 적용한 Quantile Regression 기법은 회귀계수의 추정에 있어서 회귀인자의 신뢰성을 아래와 같은 Quantile-회귀계수 그래프를 통해 분석할 수 있으며, 로버스트 통계량의 특징인 분산이 적은 안정적인 추정량을 확보할 수 있는 장점을 갖는다. 아래식은 Quantile regression의 회귀계수 추정식을 나타낸다. $$arg\;in\;{n\\\;p(y_i-f(x_i,\;z_i,\;{\cdots}))\\ =1}$$ 여기서, $y_i$는 가뭄특성값을 $x_i$, $z_i$, $\cdots$는 기상인자를 나타낸다. $$p(y-q)={{\beta}(y-q)\;y{\geq_-}q \\ (1-{\beta})(q-y)\;y<q}$$ ${\beta}$는 quantile을 나타내며 0< ${\beta}$ <1범위를 갖는다.

• Asian Pacific Journal of Cancer Prevention
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• v.17 no.sup3
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• pp.113-117
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• 2016

Quantile regression is an efficient method for predicting and estimating the relationship between explanatory variables and percentile points of the response distribution, particularly for extreme percentiles of the distribution. To study the relationship between urbanization and cancer morbidity, we here applied quantile regression. This cross-sectional study was conducted for 9 cancers in 345 cities in 2007 in Iran. Data were obtained from the Ministry of Health and Medical Education and the relationship between urbanization and cancer morbidity was investigated using quantile regression and least square regression. Fitting models were compared using AIC criteria. R (3.0.1) software and the Quantreg package were used for statistical analysis. With the quantile regression model all percentiles for breast, colorectal, prostate, lung and pancreas cancers demonstrated increasing incidence rate with urbanization. The maximum increase for breast cancer was in the 90th percentile (${\beta}$=0.13, p-value<0.001), for colorectal cancer was in the 75th percentile (${\beta}$=0.048, p-value<0.001), for prostate cancer the 95th percentile (${\beta}$=0.55, p-value<0.001), for lung cancer was in 95th percentile (${\beta}$=0.52, p-value=0.006), for pancreas cancer was in 10th percentile (${\beta}$=0.011, p-value<0.001). For gastric, esophageal and skin cancers, with increasing urbanization, the incidence rate was decreased. The maximum decrease for gastric cancer was in the 90th percentile(${\beta}$=0.003, p-value<0.001), for esophageal cancer the 95th (${\beta}$=0.04, p-value=0.4) and for skin cancer also the 95th (${\beta}$=0.145, p-value=0.071). The AIC showed that for upper percentiles, the fitting of quantile regression was better than least square regression. According to the results of this study, the significant impact of urbanization on cancer morbidity requirs more effort and planning by policymakers and administrators in order to reduce risk factors such as pollution in urban areas and ensure proper nutrition recommendations are made.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.43 no.4
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• pp.107-115
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• 2020

Support vector regression (SVR) is devised to solve the regression problem by utilizing the excellent predictive power of Support Vector Machine. In particular, the ⲉ-insensitive loss function, which is a loss function often used in SVR, is a function thatdoes not generate penalties if the difference between the actual value and the estimated regression curve is within ⲉ. In most studies, the ⲉ-insensitive loss function is used symmetrically, and it is of interest to determine the value of ⲉ. In SVQR (Support Vector Quantile Regression), the asymmetry of the width of ⲉ and the slope of the penalty was controlled using the parameter p. However, the slope of the penalty is fixed according to the p value that determines the asymmetry of ⲉ. In this study, a new ε-insensitive loss function with p1 and p2 parameters was proposed. A new asymmetric SVR called GSVQR (Generalized Support Vector Quantile Regression) based on the new ε-insensitive loss function can control the asymmetry of the width of ⲉ and the slope of the penalty using the parameters p1 and p2, respectively. Moreover, the figures show that the asymmetry of the width of ⲉ and the slope of the penalty is controlled. Finally, through an experiment on a function, the accuracy of the existing symmetric Soft Margin, asymmetric SVQR, and asymmetric GSVQR was examined, and the characteristics of each were shown through figures.

• Proceedings of the Korean Association for Survey Research Conference
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• 2006.12a
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• pp.67-83
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• 2006

In successive sampling on two occasions the problem of estimating a finite population quantile has been considered. The theory developed aims at providing the optimum estimates by combining (i) three double sampling estimators viz. ratio-type, product-type and regression-type, from the matched portion of the sample and (ii) a simple quantile based on a random sample from the unmatched portion of the sample on the second occasion. The approximate variance formulae of the suggested estimators have been obtained. Optimal matching fraction is discussed. A simulation study is carried out in order to compare the three estimators and direct estimator. It is found that the performance of the regression-type estimator is the best among all the estimators discussed here.

• Journal of the Korean Statistical Society
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• v.36 no.4
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• pp.543-556
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• 2007

In successive sampling on two occasions the problem of estimating a finite population quantile has been considered. The theory developed aims at providing the optimum estimates by combining (i) three double sampling estimators viz. ratio-type, product-type and regression-type, from the matched portion of the sample and (ii) a simple quantile based on a random sample from the unmatched portion of the sample on the second occasion. The approximate variance formulae of the suggested estimators have been obtained. Optimal matching fraction is discussed. A simulation study is carried out in order to compare the three estimators and direct estimator. It is found that the performance of the regression-type estimator is the best among all the estimators discussed here.

• Communications for Statistical Applications and Methods
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• v.28 no.6
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• pp.643-653
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• 2021

Few studies are found in literature on estimation of population quantiles using the method of ranked set sampling (RSS). The optimal RSS strategy is to select observations with at most two fixed rank order statistics from different ranked sets. In this paper, a near optimal unbalanced RSS model for estimating p^th(0 < p < 1) population quantile is proposed. Main advantage of this model is to use each rank order statistics and is distributionfree. The asymptotic relative efficiency (ARE) for balanced RSS, unbalanced optimal and proposed near-optimal methods are computed for different values of p. We also compared these AREs with respect to simple random sampling. The results show that proposed unbalanced RSS performs uniformly better than balanced RSS for all set sizes and is very close to the optimal RSS for large set sizes. For the practical utility, the near optimal unbalanced RSS is recommended for estimating the quantiles.

• The Journal of the Korea Contents Association
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• v.16 no.5
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• pp.399-409
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• 2016

Purpose: The purpose of this study was to examine factors influencing health related quality of life(HRQOL) in patients with hypertension. Methods: This study carried out secondary analysis using the data from the $5^{th}$ Korean National Health and Nutrition Examination Survey. Subject samples who were selected are 1,240 hypertension patients. The data were analyzed by using descriptive statistics, traditional classic regression, and quantile regression. Results: Restriction of activity, depressive mood, and subjective health status had only significant effects on HRQOL(p<.001). After quantile regression, depressive mood and subjective health status had only significant at 20%(p<.001), 40%(p<.001), and 60%(p<.01) of HRQOL. Perceived stress(p<.001) and regular exercise(p<.01) had only significant at 20% of HRQOL. Current drinking status had only significant at 20%(p<.001) and 80%(p<.01) of HRQOL. Conclusions: Quantile regression maybe a better statistical tool in understanding the heterogeneous effect of hypertension patient's HRQOL as health outcome. Therefore interventions are needed for patients with hypertension to manage each of the factors affecting the patient's perceived health status by each quantile.

• Journal of dental hygiene science
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• v.19 no.4
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• pp.271-278
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• 2019

Background: This study aimed to examine the factors that influence clinical performance of dental hygiene students to provide useful data for developing strategies to improve clinical competence. Methods: The effects of variables on clinical competence by quantile level were analyzed using quantile regression analysis in 247 dental hygiene students. Quantile regression and multiple regression analyses were conducted using the Stata 11.0 program to analyze predictors of clinical competence. Results: The clinical competence score of dental hygiene students was 42.69±5.90, the satisfaction of clinical practice was 49.90±7.44, the clinical practice stress was 50.62±7.37, and the professional self-concept was 31.68±4.41. Empathy was the highest at 50.87±4.93. Multiple regression analysis showed that school year, stress from clinical training, satisfaction with clinical training, professional self-concept, and empathy had significant impact on clinical competence. Quantile regression analysis showed that the effects varied depending on the clinical competence level. School year and professional self-concept had a significant positive effect, regardless of the clinical competence level, while empathy had a significant positive effect at the top 10% (Q90) of the clinical competence level. Satisfaction with clinical practice affected clinical competence at Q25, Q50, and Q90. Stress from clinical practice had significant effects at Q25, Q50, and Q90 (p<0.05). Conclusion: According to the study results, different factors affected clinical competence according to the quantile of clinical competence. This study provides valuable implications for designing clinical competence enhancement programs and strategies. In addition, objective indicators for considering factors that may affect the clinical competence, such as academic competence and satisfaction of practice hospitals, are expected to require detailed analysis and measures.

• Research in Community and Public Health Nursing
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• v.24 no.3
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• pp.273-281
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• 2013

Purpose: The purpose of this study was to determine gender differences in effects of self-efficacy, exercise benefits and barriers, and demographic factors on the physical activity. Methods: Seventy sedentary office workers, 35 male and 35 female, from a major airline company, completed a questionnaire from March 28 to April 5, 2012. Steps and body mass indices were measured using a CW-700/701 (Yamax) pedometer and Inbody 720 (Biospace), respectively. Data were analyzed using t-test, $x^2$-test, multiple linear regression, and simultaneous quantile regression. Results: For male workers, exercise self-efficacy had a significant effect on physical activity, but only when respondents were at 10%(3,431 steps/day, p=.018) and 25%(4,652 steps/day, p=.044) of the physical activity distribution. For female workers, marital status was significantly related to physical activity, but only when respondents were at 10% (3,537 steps/day, p=.013) and 25%(3,862 steps/day, p=.014) of the physical activity distribution. Conclusion: Quantile regression highlights the heterogeneous effect of physical activity determinants among office workers. Therefore intervention strategies for increasing physical activity should be tailed to genders as well as physical activity levels.