• 제목/요약/키워드: quantiles

검색결과 181건 처리시간 0.032초

혼합 검벨분포모형을 이용한 확률강우량의 산정 (Estimating Quantiles of Extreme Rainfall Using a Mixed Gumbel Distribution Model)

  • 윤필용;김태웅;양정석;이승오
    • 한국수자원학회논문집
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    • 제45권3호
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    • pp.263-274
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    • 2012
  • 최근 다양한 기후변동성으로 인해 전 세계적으로 극한호우사상이 동시다발적으로 일어나고 있다. 우리나라의 극한호우사상은 주로 여름철 태풍으로 인한 호우와 국지성 집중호우에 의해서 발생한다. 극한호우사상에 대한 적절한 확률강우량을 추정하기 위해서, 본 연구에서는 연최대치일강우를 태풍으로 인한 강우와 집중호우로 인한 강우로 구분하여 확률적 거동을 고려하였다. 일반적인 강우빈도해석법은 연최대치강우가 단일 모집단을 이룬다고 가정하여 단일 분포함수를 적용하여 확률강우량을 추정하는 반면, 본 연구에서는 연최대치강우를 구성하는 두 가지 호우의 통계적 특성을 수문빈도해석에서 고려하기 위해, 혼합 분포함수를 적용하였다. 비교적 긴 관측강우자료를 보유한 15개 지점을 선정하여, 일강우량에 대한 확률강우량을 산정하고 비교분석을 실시하였다. 혼합 검벨분포모형에 의한 확률강우량은 단일 검벨분포함수를 적용한 확률강우량과 비교하여 지역에 따라 증감이 나타났으며, 이러한 결과는 홍수방어시스템의 계획 및 설계에서 유용한 정보를 제공할 것이다.

Forecasting volatility via conditional autoregressive value at risk model based on support vector quantile regression

  • Shim, Joo-Yong;Hwang, Chang-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제22권3호
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    • pp.589-596
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    • 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.

대수(對數)-Gumbel 확률분포함수(確率分布函數)의 매개변수(媒介變數) 추정(推定)과 신뢰한계(信賴限界) 유도(誘導) (Parameter Estimation and Confidence Limits for the Log-Gumbel Distribution)

  • 허준행
    • 대한토목학회논문집
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    • 제13권4호
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    • pp.151-161
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    • 1993
  • 본 연구에서는 기존의 대수(對數)형태인 대수(對數)-Gumbel 확률분포함수를 변환하여 새로운 형태의 대수(對數)-Gumbel 확률분포함수를 정립하였다. 이 분포함수를 이용하여 모멘트법, 최우도법, 확률가중모멘트법(Probability weighted moments)에 기초한 매개변수 추정과정을 유도하였으며, 또한 재현기간별 신뢰한계를 구하기 위하여 각각의 매개변수 추정법에 대한 점근분산식(漸近分散式)을 유도하였다. 아울러 유도된 식들을 실제 자료에 적용하였다.

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비선형최소분위추정량의 점근적 성질 (Asymptotic Properties of Regression Quanties Estimators in Nonlinear Models)

  • 최승회;김태수;박경옥
    • Journal of the Korean Data and Information Science Society
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    • 제11권2호
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    • pp.235-245
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    • 2000
  • 두 변수간의 함수관계를 연구하는 회귀분석에서 모수를 추정하기 위하여 가장 널리 사용되는 방법은 최소자승법이다. 그러나 최소자승법은 표본 평균처럼 약간의 이상치에도 민감하게 반응하여 강인성(robustness)을 만족하지 못함으로 새로운 추정량이 필요하다. 본 논문에서는 최소분위추정량과 최소분위추정량에 근거한 일차결합추정량의 점근적 성질을 연구하였다. 또한 최소자승추정량에 대해 제시된 추정량의 점근적 효율성을 구하고 모의실험을 통하여 최소분위추정량의 효율성을 조사하였다.

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확률 강우에 따른 홍수 전후의 소유역 오염부하량 배출특성 연구 (A Study on the Discharge Characteristics of Pollutant Loads in Small Watershed According to the Probability Rainfall)

  • 김필식;김선주;심재훈
    • 한국농공학회논문집
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    • 제52권6호
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    • pp.75-83
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    • 2010
  • The objective of this paper is to study the discharge characteristics of pollutant loads in small watershed according to probability rainfall using the Hydrologic Simulation Program-Fortran (WinHSPF). The subwatershed of Gosam reservoir watershed in Gyeonggido province was simulated and the probability rainfall of study area was estimated by recurrence interval and duration. The probability rainfalls are 156.5, 205.9 and 277.4 mm for 6 hrs, 12 hrs and 24 hrs in 10 year frequency, and each probability rainfalls is distributed by Huff's 4th quantiles method and applied to HSPF. The pollutant loads were high for initial rainfall. The concentrations of TN, TP and BOD were high as rainfall duration is shorter and rainfall intensity is higher.

도시화에 따른 도시유역 배수계통의 유출영향분석에 관한 연구 (Analysis of Runoff Effect of Drainage System at Urban Watershed due to Urbanization)

  • 서규우;허준행;조원철
    • 상하수도학회지
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    • 제11권4호
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    • pp.80-90
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    • 1997
  • The ILLUDAS and SWMM models were applied to the developing area of Dongsucheon for comparisons of the total runoff, peak discharge and travel time. For this purpose, the present and future urbanization rates were assumed 70% and 90%, respectively. The runoff analysis of two models has been performed based on 10, 20, 30 and 50 return periods and Huff's 4 quantiles for time distribution pattern of design rainfalls. As results, the total runoff based on Huff's pattern had an decreasing order of 1, 4, 3 and 2 quantiles for both models. The SWMM model showed that there were 4.3% increasing of the total runoff, 4.9% increasing of peak discharge, and 6.6% decreasing of travel time. Similarly, for ILLUDAS model, there were 7.3% and 9.2% increasing of total runoff and peak discharge, respectively and 9.1% decreasing of travel time.

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资产价格波动对中国宏观经济风险的影响 (Asset Price Volatility and Macroeconomic Risk in China)

  • Jishi, Piao;Mengjiao, Liu
    • 분석과 대안
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    • 제3권1호
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    • pp.135-157
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    • 2019
  • The linkages between asset prices and macroeconomic outcomes are long-standing issue to both economists and monetary authorities. This paper explores the impact of asset prices on output and price in China. It focuses on the impacts of asset prices on the low quantiles of GDP gap and high quantiles of price gaprespectively. The main findings are the following: the influence of stock price gap, stock returns, and money growth on the different quantile of GDP gap and price gap are noticeable different, and there are significant impacts on the left tail of GDP gap distribution and on the right tail of price gap distribution. This implies that the results coming from simple regression will underestimate the economic risk imposed by asset price volatility. Moreover, these results also provide the caveat that one should cautiously distinguish the meaning of asset price gap and asset price growth rate and use them, through their contents are similar in some sense. One implication for monetarypolicy is that authority should interpret the relationship between asset prices and macro-economy in wider perspectives, and make the policy decision taking the impacts of asset prices on the tails of economy.

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Robust extreme quantile estimation for Pareto-type tails through an exponential regression model

  • Richard Minkah;Tertius de Wet;Abhik Ghosh;Haitham M. Yousof
    • Communications for Statistical Applications and Methods
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    • 제30권6호
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    • pp.531-550
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    • 2023
  • The estimation of extreme quantiles is one of the main objectives of statistics of extremes (which deals with the estimation of rare events). In this paper, a robust estimator of extreme quantile of a heavy-tailed distribution is considered. The estimator is obtained through the minimum density power divergence criterion on an exponential regression model. The proposed estimator was compared with two estimators of extreme quantiles in the literature in a simulation study. The results show that the proposed estimator is stable to the choice of the number of top order statistics and show lesser bias and mean square error compared to the existing extreme quantile estimators. Practical application of the proposed estimator is illustrated with data from the pedochemical and insurance industries.