参考文献/References:
[1] 郑荣跃,梧松.基于Spencer法的边坡稳定性可靠度指标分析[J]. 岩土力学,2006(1):147-150,154.
ZHENG Rongyue, WU Song. Reliability index analysis of slope stability based on Spencer’s method.[J]. Rock and Soil Mechanics, 2006(1):147-150,154.
[2] 朱彬,裴华富,杨庆.基于高斯过程回归的响应面法及边坡可靠度分析[J]. 岩土工程学报,2019,41(S1):209-212.
ZHU Bin, PEI Huafu, YANG Qing. Gaussian process regression-based response surface method and reliability analysis of slopes[J]. Chinese Journal of Geotechnical Engineering, 2019,41(S1):209-212.
[3] 邓志平,牛景太,潘敏,等.考虑地层变异性和土体参数空间变异性的边坡可靠度全概率设计方法[J]. 岩土工程学报,2019,41(6):1083-1090.
DENG Zhiping, NIU Jingtai, PAN Min, et al. Full probabilistic design method for slopes considering geological uncertainty and spatial variability of soil parameters[J]. Chinese Journal of Geotechnical Engineering, 2019,41(6):1083-1090.
[4] 陈祖煜,徐佳成,孙平,等.重力坝抗滑稳定可靠度分析:(一)相对安全率方法[J]. 水力发电学报, 2012,31(3):148-159.
CHEN Zuyu, XU Jiacheng, SUN Ping, et al. Reliability analysis on sliding stability of gravity dams: Part I, An approach using criterion of safety margin ratio[J]. Journal of Hydroelectric Engineering, 2012,31(3): 148-159.
[5] 陈祖煜,徐佳成,陈立宏,等.重力坝抗滑稳定可靠度分析:(二)强度指标和分项系数的合理取值研究[J]. 水力发电学报,2012,31(3):160-167.
CHEN Zuyu, XU Jiacheng, CHEN Lihong et al.Reliability analysis on sliding stability of gravity dams: Part II,Determination of shear strength parameters and partial factors[J]. Journal of Hydroelectric Engineering, 2012,31(3):160-167.
[6] 李典庆,周强,曹子君.基于广义可靠指标相对安全率的岩土工程设计安全判据[J]. 岩土力学,2019, 40(10): 3977-3986.
LI Dianqing, ZHOU Qiang, CAO Zijun. Safety criteria for geotechnical design based on the generalized reliability ratio of safety margin[J]. Rock and Soil Mechanics, 2019, 40(10):3977-3986.
[7] 范明桥,盛金保.土强度指标φ, c的互相关性[J]. 岩土工程学报,1997(4):100-104.
FAN Mingqiao, SHENG Jinbao. Cross-correlation of soil strength index φ, c[J]. Chinese Journal of Geotechnical Engineering, 1997(4):100-104.
[8] DAS G.K., HAZRA B., GARG A, et al. Stochastic hydro-mechanical stability of vegetated slopes: An integrated Copula based framework[J]. Catena, 2018, 160:124-133.
[9] 唐小松,李典庆,周创兵,等.基于Copula函数的基桩荷载-位移双曲线概率分析[J]. 岩土力学,2012,33(1):171-178.
TANG Xiaosong, LI Dianqing, ZHOU Chuangbing et al. Probabilistic analysis of load-displacement hyperbolic curves of single pile using Copula[J]. Rock and Soil Mechanics,2012,33(1):171-178.
[10]WU X Z. Probabilistic slope stability analysis by a Copula-based sampling method[J]. Computational Geosciences,2013, 17(5):739-755.
[11]张蕾,唐小松,李典庆,等.基于Copula函数的岩土结构物系统可靠度分析[J]. 岩土力学,2016,37(1):193-202.
ZHANG Lei, TANG Xiaosong,LI Dianqing et al. System reliability analysis of geotechnical structures based on the Copula function[J]. Rock and Soil Mechanics, 2016, 37(1):193-202.
[12]中华人民共和国国家标准编写组. 建筑边坡工程技术规范:GB 50330-2013)[S]. 北京:中国建筑工业出版社,2014.
The National Standards Compilation Group of People’s Republic of China. Technical code for building slope engineering:GB50330-2013[S]. BeiJing: China Architecture & Building Press,2014.
[13]张卫民.土体力学参数对土坡稳定安全系数影响分析[D]. 杭州:浙江大学, 2006.
ZHANG Weimin. Influence of soil parameters on soil slope safety factor of stability[D]. Hangzhou: Zhejiang University,2006.
[14]黄景华,陈朝晖,莫玻,等.参数特性及分布形式对边坡稳定可靠性的影响分析[J]. 四川大学学报(工程科学版),2014,46(3):23-30.
HUANG Jinghua, CHEN Zhaohui, MO Bo et al. Influence analysis of characteristics and distribution types of soil parameters on slope reliability[J]. Journal of Sichuan University(Engineering Science Edition), 2014,46(3):23-30.
[15]唐小松,李典庆,曹子君,等.有限数据条件下边坡可靠度分析的Bootstrap方法[J]. 岩土力学,2016,37(3):893-901,911.
TANG Xiaosong, LI Dianqing, CAO Zijun et al. bootstrap method for analyzing slope reliability based on limited shear-strength parameter data [J]. Rock and Soil Mechanics, 2016,37(3):893-901,911.
[16] BEfron. 1977 Rietz2dx Lecture-Bootstrap methods: Another look at the Jackknife[J]. The Annals of Statistics. 1979, 7(1):1-26.
[17]陈立宏,陈祖煜,刘金梅.土体抗剪强度指标的概率分布类型研究[J]. 岩土力学,2005(1): 37-40,45.
CHEN Lihong, CHEN Zuyu, LIU Jinmei. Probability distribution of soil strength[J]. Rock and Soil Mechanics. 2005,26(1): 37-40,45.
[18]苏永华,何满潮,孙晓明.大子样岩土随机参数统计方法[J]. 岩土工程学报, 2001,23(1): 117-119.
SU Yonghua, HE Manchao, SUN Xiaoming. Approach onasymptotic approximations of polynomials for probability density function of geotechnics random parameters[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(1):117-119.
[19]ZHE Luo, ATAMTURKTUR Sez, JUANG Hsein. Bootstrapping for characterizing the effect of uncertainty in sample statistics for braced excavations[J]. Journal of Geotechnical & Geoenvironmental Engineering, 2013, 139(1):13-23.
[20]Harianto Rahardjo, Alfrendo Satyanaga, Eng-choon Leong et al. Variability of residual soil properties[J]. Engineering Geology,2012,141: 124-140.
[21]ASklar. Fonctions de répartition àn dimensions et leurs marges[J]. Publications de l’Institut de Statistique de l’Université de Paris,1959, 8:229-231.
[22]AKAIKE, H. New look at statistical-model identification[J]. IEEE Transactions on Automatic Control, 1974, 19(6):716-723.
[23]ZHANG Lan. Multivariate hydrological frequency analysis and risk mapping[D]. Baton Rouge: Louisiana State University, 2005.
[24]Genest Christian, Remillard Bruno, Beaudoin David. Goodness of fit tests for copulas: A review and a power study[J]. Insurance Mathmatics & Economics, 2009, 44(2): 199-213.
[25]KOJADINOVIC Ivan, YAN Jun. Modeling multivariate distributions with continuous margins using the Copula R Package[J]. Journal of Statistical Software, 2010, 34(9): 1-20.
[26]NELSEN R B. An introduction tocopulas [M]. Bolin: Springer Science & Business Media, 2007.
[27]SHAMIRI A, HAMZAH N A, PIRMORADIAN A. Tail dependence estimate in financial market risk management: Clayton-gumbel Copula approach[J]. Sains Malaysiana, 2011, 40(8):927-935.
[28]BUCKLAND S T; BURNHAM K P; AUGUSTIN N H. Model selection: An integral part of inference[J]. Biometrics, 1997, 53(2):603-618.
[29]骆飞.小样本岩土参数统计特征估计及边坡稳定可靠性分析[D]. 重庆, 西南交通大学,2017.
LUO Fei. Smallsamples and reliability analysis of slope stability [D]. Chongqing, Southwest Jiaotong University, 2017.