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    Expected shortfall estimation using kernel machines

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    https://www.riss.kr/link?id=A104113726

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    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 sup-port vector expectile regression (SVER). These kernel machines have obvious advan-tages 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 underly-ing probability distribution of errors. Through numerical studies on two artificial and two real data sets we show their effectiveness on the estimation performance at various confidence levels.
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    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 sup-port ...

    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 sup-port vector expectile regression (SVER). These kernel machines have obvious advan-tages 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 underly-ing probability distribution of errors. Through numerical studies on two artificial and two real data sets we show their effectiveness on the estimation performance at various confidence levels.

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    참고문헌 (Reference)

    1 황창하, "생존자료분석을 위한 혼합효과 최소제곱 서포트벡터기계" 한국데이터정보과학회 23 (23): 739-748, 2012

    2 Kato, K., "Weighted Nadaraya-Watson estimation of conditional expected shortfall" 10 : 265-291, 2012

    3 Jorion, P., "Value at risk: The new benchmark for managing financial risk" McGraw-Hill 2007

    4 Taylor, J. W., "Using exponentially weighted quantile regression to estimate value at risk and expected shortfall" 6 : 382-406, 2008

    5 배종식, "Two-step LS-SVR for censored regression" 한국데이터정보과학회 23 (23): 393-401, 2012

    6 Vapnik, V. N., "The nature of statistical learning theory" Springer 1995

    7 심주용, "Semiparametric kernel logistic regression with longitudinal data" 한국데이터정보과학회 23 (23): 385-392, 2012

    8 심주용, "Restricted support vector quantile regression without crossing" 한국데이터정보과학회 21 (21): 1319-1325, 2010

    9 Efron, B., "Regression percentiles using asymmetric squared error loss" 1 : 93-125, 1991

    10 Li, Y., "Quantile regression in reproducing kernel Hilbert spaces" 102 : 255-268, 2007

    1 황창하, "생존자료분석을 위한 혼합효과 최소제곱 서포트벡터기계" 한국데이터정보과학회 23 (23): 739-748, 2012

    2 Kato, K., "Weighted Nadaraya-Watson estimation of conditional expected shortfall" 10 : 265-291, 2012

    3 Jorion, P., "Value at risk: The new benchmark for managing financial risk" McGraw-Hill 2007

    4 Taylor, J. W., "Using exponentially weighted quantile regression to estimate value at risk and expected shortfall" 6 : 382-406, 2008

    5 배종식, "Two-step LS-SVR for censored regression" 한국데이터정보과학회 23 (23): 393-401, 2012

    6 Vapnik, V. N., "The nature of statistical learning theory" Springer 1995

    7 심주용, "Semiparametric kernel logistic regression with longitudinal data" 한국데이터정보과학회 23 (23): 385-392, 2012

    8 심주용, "Restricted support vector quantile regression without crossing" 한국데이터정보과학회 21 (21): 1319-1325, 2010

    9 Efron, B., "Regression percentiles using asymmetric squared error loss" 1 : 93-125, 1991

    10 Li, Y., "Quantile regression in reproducing kernel Hilbert spaces" 102 : 255-268, 2007

    11 He, X., "Quantile curves without crossing" 51 : 86-192, 1997

    12 Takeuchi, I., "Nonparametric quantile estimation" 7 : 1231-1264, 2006

    13 Chen, S. X., "Nonparametric estimation of expected shortfall" 6 : 87-107, 2008

    14 Cai, Z., "Nonparametric estimation of conditional VaR and expected shortfall" 147 : 120-130, 2008

    15 Kuhn, H. W., "Nonlinear programming" University of California Press 481-492, 1951

    16 Zhu, D., "Modeling and forecasting expected shortfall with the generalized asymmetric Student-t and asymmetric exponential power distributions" 18 : 765-778, 2011

    17 Wang, Y., "Measuring financial risk with generalized asymmetric least squares regression" 11 : 5793-5800, 2011

    18 Suykens, J. A. K., "Least square support vector machine classifier" 9 : 293-300, 1999

    19 Yuan, M., "GACV for quantile smoothing splines" 50 : 813-829, 2006

    20 Mercer, J., "Functions of positive and negative type and their connection with theory of integral equations" 415-446, 1909

    21 Shim, J., "Estimating value at risk with semiparametric support vector quantile regression" 27 : 685-700, 2012

    22 Taylor, J. W., "Estimating value at risk and expected shortfall using expectiles" 6 : 231-252, 2008

    23 황창하, "Cox proportional hazard model with L1 penalty" 한국데이터정보과학회 22 (22): 613-618, 2011

    24 Artzner, P., "Coherent measures of risk" 9 : 203-228, 1999

    25 Leorato, S., "Asymptotically efficient estimation of the conditional expected shortfall" 56 : 768-784, 2012

    26 Taylor, J. W., "A quantile regression neural network approach to estimating the conditional density of multiperiod returns" 19 : 299-311, 2000

    27 Bollerslev, T., "A conditional heteroskedastic time series model for speculative prices and rates of returns" 69 : 542-547, 1987

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