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Original Articles

Quantifying the non-normality of shear strength of geomaterials

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Pages 740-766 | Received 03 Aug 2015, Accepted 18 Dec 2017, Published online: 26 Jan 2018

References

  • Akaike, H . (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, AC-19(6), 716–723.
  • Ali, M. M. (1990). Statistical evaluation of Bangkok clay shear strength parameters. Geotechnical Testing Journal , 13 (3), 250–265.
  • Ali, A. , Huang, J. , Lyamin, A. V. , Sloan, S. W. , Griffiths, D. V. , Cassidy, M. J. , & Li, J. H. (2014). Simplified quantitative risk assessment of rainfall-induced landslides modelled by infinite slopes. Engineering Geology , 179 , 102–116.10.1016/j.enggeo.2014.06.024
  • Altarejos-García, L. , Escuder-Bueno, I. , Serrano-Lombillo, A. , & Gómez de Membrillera-Ortuño, M. (2012). Methodology for estimating the probability of failure by sliding in concrete gravity dams in the context of risk analysis. Structural Safety , 36–37 , 1–13.10.1016/j.strusafe.2012.01.001
  • Anderson, T. , & Darling, D. (1954). A test of goodness of fit. Journal of the American Statistical Association , 49 (268), 765–769.10.1080/01621459.1954.10501232
  • Ang, A. H. S. , & Tang, W. H. (1984). Probability concepts in engineering planning and design. Volume II, decision, risk and reliability . New York: Wiley.
  • Ang, A. H. S. , & Tang, W. H. (2007). Probability concepts in engineering. Emphasis on applications in civil & environmental engineering . New York, NY: Wiley.
  • Anscombe, F. , & Glynn, W. (1983). Distribution of the kurtosis statistic b2 for normal samples. Biometrika , 70 (1), 227–234.
  • Babu, G. L. S. , & Singh, V. P. (2011). Reliability-based load and resistance factors for soil-nail walls. Canadian Geotechnical Journal , 48 (6), 915–930.10.1139/t11-005
  • Baecher, G. B. , & Christian, J. T. (2003). Reliability and statistics in geotechnical engineering . Chichester: Wiley.
  • Baker, R. (2004). Nonlinear mohr envelopes based on triaxial data. Journal of Geotechnical and Geoenvironmental Engineering , 130 (5), 498–506.10.1061/(ASCE)1090-0241(2004)130:5(498)
  • Bandyopadhyay, S. , Mallik, S. , & Mukhopadhyay, A. (2004). A survey and comparative study of statistical tests for identifying differential expression from microarray data. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 11(1): 95–115.
  • Binder, A. (1959). Considerations of the place of assumptions in correlational analysis. American Psychologist , 14 , 504–510.10.1037/h0048094
  • Brejda, J. , Moorman, J. , Smith, T. B. , Karlen, J. L. , Allan, D. L. , & Dao, T. H. (2000). Distribution and variability of surface soil properties at a regional scale. Soil Science Society of America Journal , 64 (3), 974–982.10.2136/sssaj2000.643974x
  • Brys, G. , Hubert, M. , & Struyf, A. (2008). Goodness-of-fit tests based on a robust measure of skewness. Computational Statistics , 23 (3), 429–442.10.1007/s00180-007-0083-7
  • Burdenski, T. K. (2000). Evaluating univariate, bivariate, and multivariate normality using graphical procedures. In Paper presented at the annual meeting of the American Educational Research Association (pp. 1–61). New Orleans, LA.
  • Cherubini, C. (2000). Reliability evaluation of shallow foundation bearing capacity on c-phi soils. Canadian Geotechnical Journal , 37 , 264–269.
  • Choi, J. S. , Hong, S. , Chi, S. B. , Lee, H. B. , Park, C. K. , Kim, H. W. , … Lee, T. H. (2011). Probability distribution for the shear strength of seafloor sediment in the KR5 area for the development of manganese nodule miner. Ocean Engineering , 38 (17–18), 2033–2041.10.1016/j.oceaneng.2011.09.011
  • Christian, J. T. , & Baecher, G. B. (2002). The point-estimate method with large numbers of variables. International Journal for Numerical and Analytical Methods in Geomechanics , 126 (15), 1515–1529.10.1002/(ISSN)1096-9853
  • Cornell, C. A. (1969). A probability based structural code. Journal of the American Concrete Institute , 66 (12), 974–985.
  • Cramer, H. (1928). On the composition of elementary errors. Skandinavisk Aktuarietidskrift , 11 (13–74), 141–180.
  • D’Agostino, R. (1970). Transformation to normality of the null distribution of g1. Biometrika , 57 (3), 679–681.
  • D’Agostino, R. B. , & Pearson, E. S. (1973). Testing for departures from normality. I. Fuller empirical results for the distribution of b2 and √b1. Biometrika , 60 , 613–622.
  • Delignette-Muller, M. L. , Pouillot, R. , Denis, J. B. , & Dutang, C. (2011). Fitdistrplus: Help to fit of a parametric distribution to non-censored or censored data. R package version 0. 3–4. Retrieved September 23, 2013, from http://cran.r-project.org/web/packages/fitdistrplus/index.html
  • Efron, B. , & Tibshirani, R. J. (1993). An introduction to the bootstrap . London: CRC Press.10.1007/978-1-4899-4541-9
  • Elkateb, T. , Chalaturnyk, R. , & Robertson, P. K. (2003). An overview of soil heterogeneity: Quantification and implications on geotechnical field problems. Canadian Geotechnical Journal , 40 (1), 1–15.10.1139/t02-090
  • Ersoy, H. , Karsli, M. B. , Cellek, S. , Kul, B. , Baykan, I. , & Parsons, R. L. (2013). Estimation of the soil strength parameters in Tertiary volcanic regolith (NE Turkey) using analytical hierarchy process. Journal of Earth System Science , 122 (6), 1545–1555.10.1007/s12040-013-0366-z
  • Fan, H. , & Liang, R. (2013). Probabilistic framework for strength limit and service limit checks of drilled shafts considering soil spatial variability. Transportation Research Record: Journal of the Transportation Research Board , 2363 , 30–35.10.3141/2363-04
  • Farrel, P. J. , & Stewart, K. R. (2006). Comprehensive study of tests for normality and symmetry: Extending the Spiegelhalter test. Journal of Statistical Computation and Simulation , 76 (9), 803–816.10.1080/10629360500109023
  • Faur, K. B. (2014). Statistical analysis of shear strength parameters of municipal solid wastes by slope stability. Geosciences and Engineering , 3 (5), 145–153.
  • Fellin, W. , & Oberguggenberger, M. (2012). Robust assessment of shear parameters from direct shear tests. International Journal of Reliability and Safety, 6(1/2/3), 49–64.
  • Forrest, W. S. , & Orr, T. L. L. (2010). Reliability of shallow foundations designed to Eurocode 7. Georisk , 4 (4), 186–207.
  • Foye, K. C. , Salgado, R. , & Scott, B. (2006). Assessment of variable uncertainties for reliability-based design of foundations. Journal of Geotechnical and Geoenvironmental Engineering , 132 (9), 1197–1207.10.1061/(ASCE)1090-0241(2006)132:9(1197)
  • Gay, G. , & Schad, H. (2001). Landslides and rockfall in Keuper. Otto-Graf-Journal , 12 , 201–214.
  • Ghasemi, A. , & Zahediasl, S. (2012). Normality tests for statistical analysis: A guide for non-statisticians. International Journal of Endocrinology and Metabolism , 10 (2), 486–489.10.5812/ijem
  • Ghiassian, H. , & Ghareh, S. (2008). Stability of sandy slopes under seepage conditions. Landslides , 5 (4), 397–406.10.1007/s10346-008-0132-5
  • Gill, D. E. , Corthésy, R. , & Leite, M. H. (2005). Determining the minimal number of specimens for laboratory testing of rock properties. Engineering Geology , 78 , 29–51.10.1016/j.enggeo.2004.10.005
  • Gonzalez-Estrada, G. , & Villasenor-Alva, J. A. (2013) mvShapiroTest: Generalized Shapiro-Wilk test for Multivariate Normality. R package version 1.0. Retrieved from software: http://CRAN.R-project.org/package=mvShapiroTest
  • Goodman, R. E. , & Algren, C. S. (2000). Evaluating safety of concrete gravity dam on weak rock: Scott Dam. Journal of Geotechnical and Geoenvironmental Engineering , 126 (5), 429–442.10.1061/(ASCE)1090-0241(2000)126:5(429)
  • Griffiths, D. V. , Huang, J. , & Fenton, G. A. (2011). Probabilistic infinite slope analysis. Computers and Geotechnics , 38 (4), 577–584.10.1016/j.compgeo.2011.03.006
  • Groebner, D. F. , Shannon, P. W. , Fry, P. C. , & Smith, K. D. (2011). Business statistics: A decision making approach . Upper Saddle River, NJ: Faculty Authored Books. Book 21. ISBN 9780133021844.
  • Gui, S. , Zhang, R. , Turner, J. , & Xue, X. (2000). Probabilistic slope stability analysis with stochastic soil hydraulic conductivity. Journal of Geotechnical and Geoenvironmental Engineering , 126 (1), 1–9.10.1061/(ASCE)1090-0241(2000)126:1(1)
  • Hallam, J. R. (1990). The statistical analysis and summarisation of geotechnical databases. British Geological Survey . ReportWN/90/16. Retrieved from http://nora.nerc.ac.uk/20345/
  • Harr, M. E. (1987). Reliability-based design in civil engineering . New York, NY : McGraw-Hill.
  • Harrop-Williams, K. , & Ejezie, S. (1985). Stochastic description of undrained soil strength. Canadian Geotechnical Journal , 22 (4), 437–442.10.1139/t85-063
  • Hata, Y. , Ichii, K. , & Tokida, K. (2011). A probabilistic evaluation of the size of earthquake induced slope failure for an embankment. Georisk , 6 (2), 73–88.
  • Hong, H. P. , & Roh, G. (2008). Reliability evaluation of earth slopes. Journal of Geotechnical and Geoenvironmental Engineering , 134 (12), 1700–1705.10.1061/(ASCE)1090-0241(2008)134:12(1700)
  • Ishigami, K. , Arima, H. , & Shima, M. (1973). Shear strength characteristics of saturated sand in undrained tests. In Proceedings of 28th Annual Meeting of Japan Society of Civil Engineers (Vol. 3, 76–78), Tokyo. (in Japanese).
  • Jarque, C. , & Bera, A. (1987). A test for normality of observations and regression residuals. International Statistical Review / Revue Internationale de Statistique , 55 , 163–172.10.2307/1403192
  • Jha, S. K. , & Ching, J. (2013). Simplified reliability method for spatially variable undrained engineered slopes. Soils and Foundations , 53 (5), 708–719.10.1016/j.sandf.2013.08.008
  • Joenssen, D. W. , & Vogel, J. (2014). A power study of goodness-of-fit tests for multivariate normality implemented in R. Journal of Statistical Computation and Simulation , 84 (5), 1055–1078.10.1080/00949655.2012.739620
  • Kádár, I. (2013). Some characteristic values of the stability analysis of MAL dams. In Proceedings of the second conference of junior researchers in civil engineering (pp. 100–104), Budapest.
  • Kass, R. E. , Eden, U. T. , & Brown, E. N. (2014). Analysis of neural data . New York: Springer.10.1007/978-1-4614-9602-1
  • Kolmogorov, A. N. (1933). Sulla determinazione empirica di una legge di distribuzione. Giornale dell’ Instituto Italiano degli Attuari , 4 , 83–91.
  • Komsta, L. , & Novomestky, F. (2012). R Package ‘moments’, v. 0.13. Moments, cumulants, skewness, kurtosis and related tests. Retrieved from http://cran.r-project.org/web/packages/
  • Krizek, R. J. , Corotis, R. B. , & El-Moursi, H. H. (1977). Probabilistic analysis of predicted and measured settlements. Canadian Geotechnical Journal , 14 (1), 17–33.10.1139/t77-002
  • Lanaro, F. , & Fredriksson, A. (2005). Rock mechanics characterisation of the rock mass summary of primary data. Preliminary site description version 1.2. R-05-21. Swedish Nuclear Fuel and Waste Management. Retrieved from http://193.235.25.3/upload/publications/pdf/R-05-21webb.pdf
  • Laufer, I. (2013). Statistical analysis of CPT tip resistances. Periodica Polytechnica Civil Engineering , 57 (1), 45–61.10.3311/PPci.2141
  • Lee, K. L. , & Singh, A. (1968). Report of the direct shear comparative study (pp. 1–38). Soil Mechanics Group, Los Angeles Section, ASCE.
  • Lilliefors, H. (1967). On the Kolmogorov-Smirnov test for normality with mean and variance unknown. Journal of the American Statistical Association , 62 (318), 399–402.10.1080/01621459.1967.10482916
  • Lindquist, E. S. (1994). The strength and deformation properties of melange (PhD thesis). Department of Civil Engineering, University of California, Berkeley.
  • Lü, Q. , & Low, B. K. (2011). Probabilistic analysis of underground rock excavations using response surface method and SORM. Computers and Geotechnics , 38 , 1008–1021.
  • Lumb, P. (1966). The variability of natural soils. Canadian Geotechnical Journal , 3 (2), 74–97.10.1139/t66-009
  • Lumb, P. (1970). Safety factors and the probability distribution of soil strength. Canadian Geotechnical Journal , 7 (3), 225–242.10.1139/t70-032
  • MacLeod, C. J. , Adams, J. , & Lyver, P. (2008). At-sea distribution of satellite-tracked grey-faced petrels, Pterodroma macroptera gouldi, captured on the Ruamaahua (Aldermen) Islands, New Zealand. Papers and proceedings of the Royal Society of Tasmania , 142 (1), 73–88.
  • Marsaglia, G. , & Marsaglia, J. C. W. (2004). Evaluating the Anderson-Darling distribution. Journal of Statistical Software , 9 (2), 1–5.
  • Matsuo, M. , & Kuroda, K. (1974). Probabilistic approach to design of embankments. Soils and Foundations , 14 (2), 1–17.10.3208/sandf1972.14.2_1
  • Matsuo, M. , & Shogaki, T. (1988). Effects of plasticity and sample disturbance on statistical properties of undrained shear strength. Soils and Foundations , 28 (2), 14–24.10.3208/sandf1972.28.2_14
  • Mbarka, S. , Baroth, J. , Ltifi, M. , Hassis, H. , & Darve, F. (2010). Reliability analyses of slope stability: Homogeneous slope with circular failure. European Journal of Environmental and Civil Engineering , 14 (10), 1227–1257.
  • McCartney, J. S. , Zornberg, J. G. , Swan, J. R. H. , & Gilbert, R. B. (2004). Reliability-based stability analysis considering GCL shear strength variability. Geosynthetics International , 11 (3), 212–232.10.1680/gein.2004.11.3.212
  • McGill, R. , Tukey, J. , & Larsen, W. (1978). Variations of box plots. The American Statistician , 32 , 12–16.
  • Mecklin, C. J. , & Mundfrom, D. J. (2005). A Monte Carlo comparison of the Type I and Type II error rates of tests of multivariate normality. Journal of Statistical Computation and Simulation , 75 , 93–107.10.1080/0094965042000193233
  • Nelsen, R. B. (2006). An introduction to copulas . Berlin: Springer-Verlag.
  • Nilsen, B. (2000). New trends in rock slope stability analyses. Bulletin of Engineering Geology and the Environment , 58 , 173–178.10.1007/s100640050072
  • Nunoo, S. (2009). Geotechnical evaluation of Questa mine material, Taos county, New Mexico ( Masters thesis). New Mexico Institute of Mining and Technology Department of Mineral Engineering, New Mexico.
  • Onodera, T. , Oda, M. , & Minami, K. (1976). Shear strength of undisturbed sample of decomposed granite soil. Soils and Foundations , 16 (1), 17–26.10.3208/sandf1972.16.17
  • Öztuna, D. , Elhan, A. H. , & Tüccar, E. (2006). Investigation of four different normality tests in terms of type 1 error rate and power under different distributions. Turkish Journal of Medical Sciences , 36 (3), 171–176.
  • Papoulis, A. (1991). Probability, random variables, and stochastic processes . (3rd ed.). New York: McGraw-Hill.
  • Parker, C. , Simon, A. , & Thorne, C. R. (2008). The effects of variability in bank material properties on riverbank stability: Goodwin Creek, Mississippi. Geomorphology , 101 , 533–543.10.1016/j.geomorph.2008.02.007
  • Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 50 (50), 157–175. Reprinted in K. Pearson, 1956, 339–357.
  • Phoon, K. K. , & Kulhawy, F. H. (2008). Serviceability limit state reliability-based design. In Reliability-Based Design in Geotechnical Engineering: Computations and applications (pp. 344–383). London: Taylor and Francis.
  • Pouillot, R. , & Delignette-Muller, M. L. (2010). Evaluating variability and uncertainty separately in microbial quantitative risk assessment using two R packages. International Journal of Food Microbiology , 142 , 330–340.10.1016/j.ijfoodmicro.2010.07.011
  • R Development Core Team . (2013). R: A language and environment for statistical computing. R Foundation for Statistical Computing . Vienna. Retrieved from http://www.R-project.org. ISBN 3-900051-07-0.
  • Ralph Henderson, A. (2006). Testing experimental data for univariate normality. Clinica Chimica Acta , 366 , 112–129.10.1016/j.cca.2005.11.007
  • Rizzo, M. L. , & Székely, G. J. (2014). Energy: E-statistics (energy statistics). R package version 1.4–0. Retrieved July 4, 2014, from http://CRAN.R-project.org/package=energy
  • Rizzo, M. L. , & Székely, G. J. (2016). Energy distance. Wiley Interdisciplinary Reviews: Computational Statistics , 8 , 27–38.10.1002/wics.1375
  • Royston, P. (1982). An extension of Shapiro and Wilk's W test for normality to large samples. Applied Statistics , 31 (2), 115–124.10.2307/2347973
  • Schultze, E. (1971). Frequency distributions and correlations of soil properties. In P. Lumb (Ed.), Statistics and Probability in Civil Engineering (International Conference on Applications of Statistics Probability Soil Structure Engineering) (pp. 372–387). London: Hong Kong University Press.
  • Sejdinovic, D. , Sriperumbudur, B. , Gretton, A. , & Fukumizu, K. (2013). Equivalence of distance-based and RKHS-based statistics in hypothesis testing. The Annals of Statistics , 41 (5), 2263–2291.10.1214/13-AOS1140
  • Shapiro, S. S. , & Francia, R. S. (1972). An approximate analysis of variance test for normality. Journal of the American Statistical Association , 67 (337), 215–216.10.1080/01621459.1972.10481232
  • Shapiro, S. , & Wilk, M. (1965). An analysis of variance test for normality (complete samples). Biometrika , 52 (3/4), 591–611.10.1093/biomet/52.3-4.591
  • Shiga, M. , & Tachikawa, M. (2003). Ab initio path integral study of isotope effect of hydroniumion. Chemical Physics Letters , 374 , 229–234.10.1016/S0009-2614(03)00707-3
  • Sia, A. H. I. , & Dixon, N. (2007). Distribution and variability of interface shear strength and derived parameters. Geotextiles and Geomembranes , 25 , 139–154.10.1016/j.geotexmem.2006.12.003
  • Skempton, A. W. , & LaRochelle, P. (1965). The Bradwell slip: A short-term failure in London clay. Géotechnique , 15 (3), 221–242.10.1680/geot.1965.15.3.221
  • Soubra, A. H. , & Mao, N. (2012). Probabilistic analysis of obliquely loaded strip foundations. Soils and Foundations , 52 (3), 524–538.10.1016/j.sandf.2012.05.010
  • Speedie, M. G. (1955). Selection of design value from shear test results. New Zealand Engineering , 10 (1), 377–378.
  • Székely, G. J. , & Rizzo, M. L. (2005). A new test for multivariate normality. Journal of Multivariate Analysis , 93 (1), 58–80.10.1016/j.jmva.2003.12.002
  • Székely, G. J. , & Rizzo, M. L. (2013). Energy statistics: A class of statistics based on distances. Journal of Statistical Planning and Inference , 143 , 1249–1272.10.1016/j.jspi.2013.03.018
  • Székely, G. J. , & Rizzo, M. L. (2014). Partial distance correlation with methods for dissimilarities. The Annals of Statistics , 42 (6), 2382–2412.10.1214/14-AOS1255
  • Tang, X. , Li, D. , Rong, G. , Phoon, K. , & Zhou, C. (2013). Impact of copula selection on geotechnical reliability under incomplete probability information. Computers and Geotechnics , 49 , 264–278.10.1016/j.compgeo.2012.12.002
  • Templ, M. , Hron, K. , & Filzmoser, P. (2014). robCompositions 1.9.0: Robust estimation for compositional data. R package. Retrieved from http://cran.r-project.org/web/packages/robCompositions/index.html
  • Thode, H. (2002). Testing for normality . New York, NY : Marcel Dekker.10.1201/9780203910894
  • Trawiński, B. , Smętek, M. , Telec, Z. , & Lasota, T. (2012). Nonparametric statistical analysis for multiple comparison of machine learning regression algorithms. International Journal of Applied Mathematics and Computer Science , 22 (4), 867–881.
  • Venables, W. N. , & Ripley, B. D. (2002). Modern applied statistics with S (4th ed.). New York, NY : Springer.10.1007/978-0-387-21706-2
  • Villasenor-Alvaa, J. A. , & Gonzalez-Estradaa, E. (2009). A generalization of Shapiro-Wilk’s test for multivariate normality. Communications in Statistics – Theory and Methods, 38 , 1870–1883.
  • Wang, X. G. , & Dong, Y. J. (2010). Shear strength parameters of rock mass . Beijing: China Water Power Press . [in Chinese].
  • Wilk, M. , & Gnanadesikan, R. (1968). Probability plotting methods for the analysis for the analysis of data. Biometrika , 55 (1), 1–17.
  • Wright, S. (1992). Adjusted P-values for simultaneous inference. Biometrics , 48 , 1005–1013.10.2307/2532694
  • Wu, X. Z. (2013a). Probabilistic slope stability analysis by a copula-based sampling method. Computational Geosciences , 17 (5), 739–755.10.1007/s10596-013-9353-3
  • Wu, X. Z. (2013b). R Package ‘GeoRiskR’ 2.1. Data and functions for geotechnical risk assessment. Retrieved September 23, 2013, from https://r-forge.r-project.org/R/?group_id=1777
  • Wu, X. Z. (2013c). Trivariate analysis of soil ranking-correlated characteristics and its application to probabilistic stability assessments in geotechnical engineering problems. Soils and Foundations , 53 (4), 540–556.10.1016/j.sandf.2013.06.006
  • Wu, X. Z. (2013d). Using copulas to characterise the dependency of GCL shear strengths. Geosynthetics International , 20 (5), 344–357.10.1680/gein.13.00021
  • Wu, X. Z. (2015a). Modelling dependence structures of soil shear strength data with bivariate copulas and applications to geotechnical reliability analysis. Soils and Foundations , 55 (5), 1243–1258.10.1016/j.sandf.2015.09.023
  • Wu, X. Z. (2015b). Development of fragility functions for slope instability analysis. Landslides , 12 (1), 165–175.10.1007/s10346-014-0536-3
  • Wu, X. Z. (2017). Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R. Georisk , 11 (2), 173–188.
  • Yap, B. W. , & Sim, C. H. (2011). Comparisons of various types of normality tests. Journal of Statistical Computation and Simulation , 81 (12), 2141–2155.10.1080/00949655.2010.520163
  • Yazici, B. , & Yolacan, S. (2007). A comparison of various tests of normality. Journal of Statistical Computation and Simulation , 77 (2), 175–183.10.1080/10629360600678310
  • Yong, R. N. , & Tabba, M. M. (1981). On the random aspect of shear strength. In R. N. Yong & F. C. Townsend (Eds.), Laboratory shear strength of soil, ASTM STP 740 (pp. 485–501). Chicago, IL: American Society for Testing and Materials.
  • Young, D. S. (1986). A generalized probabilistic approach for slope analysis: Practical application to an open pit iron ore mine. International Journal of Mining and Geological Engineering , 4 (1), 3–13.10.1007/BF01553753
  • Zani, S. , Riani, M. , & Corbellini, A. (1998). Robust bivariate boxplots and multiple outlier detection. Computational Statistics & Data Analysis , 28 , 257–270.10.1016/S0167-9473(98)00040-1
  • Zhang, S. , Zhang, L. M. , Peng, M. , Zhang, L. L. , Zhao, H. F. , & Chen, H. X. (2012). Assessment of risks of loose landslide deposits formed by the 2008 Wenchuan earthquake. Natural Hazards and Earth System Science , 12 , 1381–1392.10.5194/nhess-12-1381-2012

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