F. Ashkar, N. Tatsambon, and C. , Revisiting some estimation methods for the generalized Pareto distribution, Journal of Hydrology, vol.346, issue.3-4, pp.3-4136, 2007.
DOI : 10.1016/j.jhydrol.2007.09.007

F. Ashkar and T. B. Ouarda, On some methods of fitting the generalized Pareto distribution, Journal of Hydrology, vol.177, issue.1-2, pp.117-141, 1996.
DOI : 10.1016/0022-1694(95)02793-9

S. F. Bailey, Basic principles and load models for the structural safety evaluation of existing road bridges, 1996.

S. F. Bailey and R. Bez, Site specific probability distribution of extreme traffic action effects, Probabilistic Engineering Mechanics, vol.14, issue.1-2, pp.19-26, 1999.
DOI : 10.1016/S0266-8920(98)00013-7

B. Bakht and L. G. Jaeger, Effect of vehicle eccentricity on longitudinal moments in bridges, Canadian Journal of Civil Engineering, vol.10, issue.4, pp.582-599, 1983.
DOI : 10.1139/l83-088

B. Bakht and L. G. Jaeger, Multi-presence reduction factors for bridges, Bridge and trasmission line structures, pp.17-20, 1987.

A. Basu, I. R. Harris, N. L. Hjort, and M. C. Jones, Robust and efficient estimation by minimising a density power divergence, Biometrika, vol.85, issue.3, pp.549-559, 1998.
DOI : 10.1093/biomet/85.3.549

T. Y. Ben and J. Wanchun, Stress in orthotropic steel deck components due to vehicular loads, Structures Congress 2005, pp.1-4, 2005.

R. Blab and J. Litzka, Measurements of the lateral distribution of heavy vehicles and its effects on the design of road pavements, 4th International Symposium on Heavy Vehicle Weights and Dimensions, pp.389-396, 1995.

E. Bulinskaya, On the mean number of crossings of a level by a stationary gaussian process. Theory of Probability & Its Applications, pp.435-438, 1961.

R. Butler, Predictive likelihood inference with applications, Journal of the Royal Statistical Society. Series B (Methodological), vol.48, issue.1, pp.1-38, 1986.

C. C. Caprani, Probability analysis of highway bridge traffic loading, 2005.

C. C. Caprani, S. A. Grave, E. J. O-'brien, O. Connor, and A. J. , Critical loading events for the assessment of medium span bridges, Sixth International Conference on Computational Structures Technology, pp.1-11, 2002.

C. C. Caprani, O. 'brien, and E. J. , The use of predictive likelihood to estimate the distribution of extreme bridge traffic load effect, Structural Safety, vol.32, issue.2, pp.138-144, 2010.
DOI : 10.1016/j.strusafe.2009.09.001

C. C. Caprani, E. J. Obrien, and G. J. Mclachlan, Characteristic traffic load effects from a mixture of loading events on short to medium span bridges, Structural Safety, vol.30, issue.5, pp.394-404, 2008.
DOI : 10.1016/j.strusafe.2006.11.006

E. Castillo and A. S. Hadi, Fitting the Generalized Pareto Distribution to Data, Journal of the American Statistical Association, vol.6, issue.3, pp.921609-1620, 1997.
DOI : 10.1080/01621459.1997.10473683

E. Castillo, A. S. Hadi, N. Balakrishnan, and J. M. Sarabia, Extreme Value and Related Models with Applications in Engineering and Science, 2004.

A. C. Cebrian, M. Denuit, L. , and P. , Generalized Pareto Fit to the Society of Actuaries??? Large Claims Database, North American Actuarial Journal, vol.3, issue.2, pp.18-36, 2003.
DOI : 10.1080/10920277.2003.10596098

A. Chaouche and J. Bacro, Statistical Inference for the Generalized Pareto Distribution: Maximum Likelihood Revisited, Communications in Statistics - Theory and Methods, vol.52, issue.5, pp.785-802, 2006.
DOI : 10.1214/aos/1176350499

V. Choulakian and M. A. Stephens, Goodness-of-Fit Tests for the Generalized Pareto Distribution, Technometrics, vol.43, issue.4, pp.478-484, 2001.
DOI : 10.1198/00401700152672573

S. G. Coles and M. J. Dixon, Likelihood-based inference for extreme value models, Extremes, vol.2, issue.1, pp.5-23, 1999.
DOI : 10.1023/A:1009905222644

R. Connor, J. Fisher, W. Gatti, V. Gopalaratnam, B. Kozy et al., Manual for design construction and maintenance of orthotropic steel deck bridges, 2012.

D. I. Cooper, Development of short span bridge-specific assessment live loading The safety of bridges, pp.64-89, 1997.

R. J. Cowan, Useful headway models, Transportation Research, vol.9, issue.6, pp.371-375, 1975.
DOI : 10.1016/0041-1647(75)90008-8

C. Cremona, Evaluation des effets extremes du trafic sur les haubans d'un pont, Bulletin des LPC, vol.199, pp.71-80, 1995.

C. Cremona, Optimal extrapolation of traffic load effects, Structural Safety, vol.23, issue.1, pp.31-46, 2001.
DOI : 10.1016/S0167-4730(00)00024-2

C. Cremona, The surveillance of bridges in france, 6th International Conference on Acoustical and Vibratory Surveillance Methods and Diagnostic Techniques, pp.1-17, 2011.

C. Cremona and J. Carracilli, Evaluation of extreme traffic load effects in cable stayed and suspension bridges using wim records, 2nd European Conference on Weigh-in-motion of Road Vehicles, pp.243-251, 1998.

C. Crespo-minguillon and J. R. Casas, A comprehensive traffic load model for bridge safety checking, Structural Safety, vol.19, issue.4, pp.339-359, 1997.
DOI : 10.1016/S0167-4730(97)00016-7

M. S. Cullimore and J. W. Smith, Local stresses in orthotropic steel bridge decks caused by wheel loads, Journal of Constructional Steel Research, vol.1, issue.2, pp.17-26, 1981.
DOI : 10.1016/0143-974X(81)90029-8

A. C. Davison and R. L. Smith, Models for exceedances over high thresholds, Journal of the Royal Statistical Society. Series B (Methodological), vol.52, issue.3, pp.393-442, 1990.

F. B. De-jong, Overview fatigue phenomenon in orthotropic bridge decks in the netherlands, Orthotropic Bridge Conference, pp.489-512, 2004.

Z. De, P. Bermudez, and S. Kotz, Parameter estimation of the generalized Pareto distribution-part I & II, Journal of Statistical Planning and Inference, vol.140, issue.6, pp.1353-1388, 2010.

Z. De, P. Bermudez, and M. Turkman, Bayesian approach to parameter estimation of the generalized Pareto distribution, TEST, vol.12, issue.1, pp.259-277, 2003.

R. Deidda, A multiple threshold method for fitting the generalized Pareto distribution and a simple representation of the rainfall process, Hydrology and Earth System Sciences Discussions, vol.7, issue.4, pp.4957-4994, 2010.
DOI : 10.5194/hessd-7-4957-2010

R. Deidda and M. Puliga, Performances of some parameter estimators of the generalized Pareto distribution over rounded-off samples, Physics and Chemistry of the Earth, Parts A/B/C, vol.34, issue.10-12, pp.10-12626, 2009.
DOI : 10.1016/j.pce.2008.12.002

A. Dempsey, B. Jacob, C. , and J. , Orthotropic bridge weigh-in-motion for determining axle and gross vehicle weights, 2nd European conference on Weigh-in- Motion, pp.435-444, 1998.

R. Desrosiers and R. Grillo, Estimating the frequency of multiple truck loadings on bridges: Final report, 1973.

O. Ditlevsen, Traffic Loads on Large Bridges Modeled as White???Noise Fields, Journal of Engineering Mechanics, vol.120, issue.4, pp.681-694, 1994.
DOI : 10.1061/(ASCE)0733-9399(1994)120:4(681)

D. J. Dupuis, Estimating the probability of obtaining nonfeasible parameter estimates of the generalized pareto distribution, Journal of Statistical Computation and Simulation, vol.78, issue.3, pp.1-3197, 1996.
DOI : 10.1080/00949659608811728

D. J. Dupuis, Exceedances over high thresholds: A guide to threshold selection, EX- TREMES, vol.1, issue.3, pp.251-261, 1999.

D. J. Dupuis and C. A. Field, Robust estimation of extremes, Canadian Journal of Statistics, vol.22, issue.2, pp.199-215, 1998.
DOI : 10.2307/3315505

D. J. Dupuis and M. Tsao, A hybrid estimator for generalized pareto and extreme-value distributions, Communications in Statistics - Theory and Methods, vol.56, issue.4, pp.925-941, 1998.
DOI : 10.1016/0022-1694(85)90108-8

B. Enright, Simulation of traffic loading on highway bridges, 2010.

B. Enright, O. 'brien, and E. J. , Cleaning weigh-in-motion data: techniques and recom- mendations, 2011.

B. Enright, O. 'brien, and E. J. , Monte Carlo simulation of extreme traffic loading on short and medium span bridges, Structure and Infrastructure Engineering, vol.3, issue.1, pp.1-16, 2012.
DOI : 10.1080/15732479.2012.688753

E. Castellanos, M. Cabras, and S. , A default Bayesian procedure for the generalized Pareto distribution, Journal of Statistical Planning and Inference, vol.137, issue.2, pp.473-483, 2007.
DOI : 10.1016/j.jspi.2006.01.006

R. Eymard and B. Jacob, Un nouveau logiciel: le programme castor pour le calcul des actions et sollicitations du trafic dans les ouvrages routiers, Bulletin des LPC, pp.64-77, 1989.

E. Fekpe, Vehicle Size and Weight Regulations and Highway Infrastructure Management, Journal of Infrastructure Systems, vol.3, issue.1, pp.10-14, 1997.
DOI : 10.1061/(ASCE)1076-0342(1997)3:1(10)

A. Ferreira, L. D. Haan, and L. Peng, On optimising the estimation of high quantiles of a probability distribution, Statistics, vol.74, issue.5, pp.401-434, 2003.
DOI : 10.2307/2286285

R. Fisher, Statistical methods and scientific inference, 1973.

G. Fu and J. W. Van-de-lindt, LRFD load calibration for state of Michigan trunkline bridges, 2006.

G. Fu and J. You, Truck Loads and Bridge Capacity Evaluation in China, Journal of Bridge Engineering, vol.14, issue.5, pp.327-335, 2009.
DOI : 10.1061/(ASCE)BE.1943-5592.0000006

G. Fu and J. You, Extrapolation for Future Maximum Load Statistics, Journal of Bridge Engineering, vol.16, issue.4, pp.527-535, 2010.
DOI : 10.1061/(ASCE)BE.1943-5592.0000175

G. Fu, Y. Zhuang, and J. Feng, Behavior of Reinforced Concrete Bridge Decks on Skewed Steel Superstructure under Truck Wheel Loads, Journal of Bridge Engineering, vol.16, issue.2, pp.219-225, 2010.
DOI : 10.1061/(ASCE)BE.1943-5592.0000142

A. Getachew, Traffic load effects on bridges -statistical analysis of collected and Monte Carlo simulated vehicle data, 2003.

A. Getachew, O. 'brien, and E. J. , Simplified site-specific traffic load models for bridge assessment, Structure and Infrastructure Engineering, vol.95, issue.4, pp.303-311, 2007.
DOI : 10.1061/(ASCE)0733-9445(1991)117:9(2757)

M. Ghosn and F. Moses, Markov Renewal Model for Maximum Bridge Loading, Journal of Engineering Mechanics, vol.111, issue.9, pp.1093-1104, 1985.
DOI : 10.1061/(ASCE)0733-9399(1985)111:9(1093)

M. Ghosn and F. Moses, Effect of Changing Truck Weight Regulations on U.S. Bridge Network, Journal of Bridge Engineering, vol.5, issue.4, pp.304-310, 2000.
DOI : 10.1061/(ASCE)1084-0702(2000)5:4(304)

M. Ghosn, B. Sivakumar, and F. Miao, Development of State-Specific Load and Resistance Factor Rating Method, Journal of Bridge Engineering, vol.18, issue.5, 2012.
DOI : 10.1061/(ASCE)BE.1943-5592.0000382

M. Gindy, Development of a reliability-based deflection limit state for steel girder bridges, 2004.

M. Gindy and H. H. Nassif, Comparison of traffic load models based on simulation and measuremed data, Joint International Conference on Computing and Decision Making in Civil and Building Engineering, 2006.

M. Gindy and H. H. Nassif, Multiple Presence Statistics for Bridge Live Load Based on Weigh-in-Motion Data, Transportation Research Record: Journal of the Transportation Research Board, vol.2028, pp.125-135, 2007.
DOI : 10.3141/2028-14

F. Gomes, Influence du revêtement sur le comportement en fatigue des dalles orthotropes: étude d'une solution en BFUP, École doctorale sciences ingénierie et environnement, 2012.

S. Grave, E. J. O-'brien, O. Connor, and A. J. , The determination of site-specific imposed traffic loadings on existing bridges, Bridge management 4 -inspection, maitenance, assessment and repair, pp.442-449, 2000.

J. A. Greenwood, J. M. Landwehr, N. C. Matalas, W. , and J. R. , Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form, Water Resources Research, vol.17, issue.2, pp.1049-1054, 1979.
DOI : 10.1029/WR015i005p01049

S. D. Grimshaw, Computing Maximum Likelihood Estimates for the Generalized Pareto Distribution, Technometrics, vol.4, issue.2, pp.185-191, 1993.
DOI : 10.1080/00401706.1987.10488243

T. Guo, D. Frangopol, D. Han, C. , and Y. , Probabilistic Assessment of Deteriorating Prestressed Concrete Box-Girder Bridges under Increased Vehicle Loads and Aggressive Environment, Journal of Performance of Constructed Facilities, vol.25, issue.6, pp.25564-576, 2011.
DOI : 10.1061/(ASCE)CF.1943-5509.0000174

D. J. Harman and A. G. Davenport, A statistical approach to traffic loading on highway bridges, Canadian Journal of Civil Engineering, vol.6, issue.4, pp.494-513, 1979.
DOI : 10.1139/l79-063

X. He and W. K. Fung, Method of medians for lifetime data with Weibull models, Statistics in Medicine, vol.35, issue.15, pp.1993-2009, 1999.
DOI : 10.1002/(SICI)1097-0258(19990815)18:15<1993::AID-SIM165>3.0.CO;2-H

J. Hewitt, J. Stephens, K. Smith, and N. Menuez, Infrastructure and Economic Impacts of Changes in Truck Weight Regulations in Montana, Transportation Research Record: Journal of the Transportation Research Board, vol.1653, issue.1, pp.165342-51, 1999.
DOI : 10.3141/1653-06

J. D. Holmes and W. W. Moriarty, Application of the generalized Pareto distribution to extreme value analysis in wind engineering, Journal of Wind Engineering and Industrial Aerodynamics, vol.83, issue.1-3, pp.831-841, 1999.
DOI : 10.1016/S0167-6105(99)00056-2

J. R. Hosking, L-Moments: Analysis and estimation of distributions using linear combinations of order statistics, Journal of the Royal Statistical Society. Series B (Methodological), vol.52, issue.1, pp.105-124, 1990.

J. R. Hosking and J. R. Wallis, Parameter and Quantile Estimation for the Generalized Pareto Distribution, Technometrics, vol.4, issue.3, p.29, 1987.
DOI : 10.1016/0022-1694(85)90108-8

C. Huang, J. Lin, and Y. And-ren, Statistical Inferences for Generalized Pareto Distribution Based on Interior Penalty Function Algorithm and Bootstrap Methods and Applications in Analyzing Stock Data, Computational Economics, vol.49, issue.1, pp.173-193, 2012.
DOI : 10.1007/s10614-011-9256-0

X. Huo, E. Wasserman, and R. Iqbal, Simplified Method for Calculating Lateral Distribution Factors for Live Load Shear, Journal of Bridge Engineering, vol.10, issue.5, pp.544-554, 2005.
DOI : 10.1061/(ASCE)1084-0702(2005)10:5(544)

J. Husler, D. Li, R. , and M. , Estimation for the Generalized Pareto Distribution Using Maximum Likelihood and Goodness of Fit, Communications in Statistics - Theory and Methods, vol.40, issue.14, pp.402500-2510, 2011.
DOI : 10.1016/j.jmva.2008.08.009

R. J. Hyndman and A. B. Koehler, Another look at measures of forecast accuracy, International Journal of Forecasting, vol.22, issue.4, pp.679-688, 2006.
DOI : 10.1016/j.ijforecast.2006.03.001

R. L. Iman and W. J. Conover, A distribution-free approach to inducing rank correlation among input variables, Communications in Statistics - Simulation and Computation, vol.13, issue.4, pp.311-334, 1982.
DOI : 10.1080/00401706.1962.10490011

K. Ito, The expected number of zeros of continuous stationary Gaussian processes, Journal of Mathematics of Kyoto University, vol.3, issue.2, pp.207-216, 1963.
DOI : 10.1215/kjm/1250524817

V. Ivanov, On the Average Number of Crossings of a Level by the Sample Functions of a Stochastic Process, Theory of Probability & Its Applications, pp.319-323, 1960.
DOI : 10.1137/1105031

B. Jacob, Methods for the prediction of extreme vehicular loads and load effects, 1991.

B. Jacob, Assessment of the accuracy and classification of weigh-in-motion systems Part 1: Statistical background, International Journal of Heavy Vehicle Systems, vol.7, issue.2/3, pp.136-152, 2000.
DOI : 10.1504/IJHVS.2000.004860

B. Jacob, M. Bouteldja, and D. Stanczyk, Installation and experimentation of MS-WIM systems with three strip sensor technologies - early results, 5th International Conference on Weigh-In-Motion, pp.149-158, 2008.
DOI : 10.1002/9781118623305.ch12

B. Jacob, H. Hannachi, and S. Ieng, Bridge weigh-in-motion on steel orthotropic decks -Millau viaduct and Autreville bridge Bridge Maintenance, Safety and Management, pp.209-209, 2010.

B. Jacob, E. J. O-'brien, N. , and W. , Assessment of the accuracy and classification of weigh-in-motion systems. Part 2: European specification, International Journal of Heavy Vehicle Systems, vol.7, issue.2/3, pp.153-168, 2000.
DOI : 10.1504/IJHVS.2000.004831

G. James, Analysis of Traffic Load Effects on Railway Bridge, 2003.

A. F. Jenkinson, The frequency distribution of the annual maximum (or minimum) values of meteorological elements, Quarterly Journal of the Royal Meteorological Society, vol.17, issue.348, pp.81158-171, 1955.
DOI : 10.1002/qj.49708134804

B. Ji, D. Chen, L. Ma, Z. Jiang, G. Shi et al., Research on Stress Spectrum of Steel Decks in Suspension Bridge Considering Measured Traffic Flow, Journal of Performance of Constructed Facilities, vol.26, issue.1, pp.65-75, 2011.
DOI : 10.1061/(ASCE)CF.1943-5509.0000249

S. F. Juárez and W. R. Schucany, Robust and Efficient Estimation for the Generalized Pareto Distribution, Extremes, vol.72, issue.1, pp.237-251, 2004.
DOI : 10.1007/s10687-005-6475-6

E. Klein, D. Stanczyk, and S. Ieng, Improvement of weigh-in-motion accuracy by taking into account vehicle lateral position, Interation Conference on Weigh-in-Motion, ICWIM6, pp.206-213, 2012.

M. H. Kolstein, Fatigue classification of welded Jjoints in orthotropic steel bridge decks, 2007.

M. Kozikowski, WIM based live load model for bridge reliability. Doctoral, Graduate College, 2009.

O. Kwon, E. Kim, O. , and S. , Calibration of Live-Load Factor in LRFD Bridge Design Specifications Based on State-Specific Traffic Environments, Journal of Bridge Engineering, vol.16, issue.6, pp.812-819, 2011.
DOI : 10.1061/(ASCE)BE.1943-5592.0000209

O. Kwon, E. Kim, S. Orton, H. Salim, and T. Hazlet, Calibration of the live load factors in LRFR design guidelines, 2011.

R. M. Leadbetter, G. Lindgren, R. , and H. , Extremes and related properties of random sequences and processes, 1983.
DOI : 10.1007/978-1-4612-5449-2

L. 'ecuyer, P. Simard, R. Chen, E. J. Kelton, and W. D. , An Object-Oriented Random-Number Package with Many Long Streams and Substreams, Operations Research, vol.50, issue.6, pp.1073-1075, 2002.
DOI : 10.1287/opre.50.6.1073.358

W. Leutzbach, Introduction to the theory of traffic flow, 1972.
DOI : 10.1007/978-3-642-61353-1

A. Luceno, Fitting the generalized Pareto distribution to data using maximum goodness-of-fit estimators, Computational Statistics & Data Analysis, vol.51, issue.2, pp.904-917, 2006.
DOI : 10.1016/j.csda.2005.09.011

H. Ludescher and E. Brühwiler, Dynamic Amplification of Traffic Loads on Road Bridges, Structural Engineering International, vol.19, issue.2, pp.190-197, 2008.
DOI : 10.2749/101686609788220231

R. Ma, Y. Zeng, C. , and A. , Maintenance strategies for large span suspension bridges against fatigue and corrosion, pp.513-518, 2008.
DOI : 10.1201/9780203885307.ch76

E. B. Mackay, P. G. Challenor, and A. S. Bahaj, A comparison of estimators for the generalized Pareto distribution, Ocean Engineering, vol.38, pp.11-121338, 2011.

M. A. Maes, Tail heaviness in structural reliability, International Conference on Applications of Statistics and Probability, pp.997-1002, 1995.

P. E. Mathiasen, Prediction functions, Scandinavian Journal of Statistics, vol.6, issue.1, pp.1-21, 1979.

A. Meshgi and D. Khalili, Comprehensive evaluation of regional flood frequency analysis by L- and LH-moments. II. Development of LH-moments parameters for the generalized Pareto and generalized logistic distributions, Stochastic Environmental Research and Risk Assessment, vol.7, issue.12, pp.137-152, 2009.
DOI : 10.1007/s00477-007-0202-6

T. B. Messervey, D. M. Frangopol, C. , and S. , Application of the statistics of extremes to the reliability assessment and performance prediction of monitored highway bridges, Structure and Infrastructure Engineering, vol.4, issue.1-2, pp.87-99, 2010.
DOI : 10.1061/(ASCE)ST.1943-541X.0000014

T. J. Miao and T. H. Chan, Bridge live load models from WIM data, Engineering Structures, vol.24, issue.8, pp.1071-1084, 2002.
DOI : 10.1016/S0141-0296(02)00034-2

S. H. Moharram, A. K. Gosain, and P. N. Kapoor, A comparative study for the estimators of the Generalized Pareto distribution, Journal of Hydrology, vol.150, issue.1, pp.169-185, 1993.
DOI : 10.1016/0022-1694(93)90160-B

A. S. Nowak, Live load model for highway bridges. Structural Safety, pp.53-66, 1993.

A. S. Nowak and Y. Hong, Bridge Live???Load Models, Journal of Structural Engineering, vol.117, issue.9, pp.2757-2767, 1991.
DOI : 10.1061/(ASCE)0733-9445(1991)117:9(2757)

A. S. Nowak, H. Nassif, and L. Defrain, Effect of Truck Loads on Bridges, Journal of Transportation Engineering, vol.119, issue.6, pp.853-867, 1993.
DOI : 10.1061/(ASCE)0733-947X(1993)119:6(853)

O. 'brien, E. Caprani, and C. C. , Headway modelling for traffic load assessment of short to medium span bridges. The Structural Engineer, pp.33-36, 2005.

O. 'brien, E. Enright, B. , C. , and C. , Implications of future heavier trucks for Europe bridges, Transport Research Arena Europe. Slovenia National Building and Civil Engineering Institute, 2008.

O. 'brien, E. Enright, B. Getachew, and A. , Importance of the tail in truck weight modeling for bridge assessment, Journal of Bridge Engineering, vol.15, issue.2, pp.210-213, 2010.

O. 'brien, E. J. Caprani, C. C. , O. Connell, and G. J. , Bridge assessment loading: a comparison of West and Central/East Europe, Bridge Structures, vol.2, issue.1, pp.25-33, 2006.
DOI : 10.1080/15732480600578451

O. 'brien, E. J. Caprani, C. C. Znidaric, C. C. Quilligan, and M. , Site-specific probabilistic bridge load assessment, Third International Conference on Current and Future Trends in Bridge Design, Construction and Maintenance, pp.341-348, 2003.

O. 'brien, E. J. Enright, and B. , Using weigh-in-motion data to determine aggressiveness of traffic for bridge loading, Journal of Bridge Engineering, vol.18, issue.3, pp.232-239, 2013.

O. 'brien, E. J. Sloan, D. T. Bulter, K. M. Kirkpatrick, and J. , Traffic load 'fingerprinting' of bridges for assessment purposes. The Structural Engineer, pp.73320-324, 1995.

O. 'brien, E. J. Znidaric, A. Brady, K. Gonzàlez, A. et al., Procedures for the assessment of highway structures, Proceedings of the ICE -Transport, pp.17-25, 2005.

O. Connor, A. Eichinger, and E. M. , Site-specific traffic load modelling for bridge assessment, 2007.

O. Connor, A. Enevoldsen, and I. , Probability based modelling and assessment of an existing post-tensioned concrete slab bridge, Engineering Structures, vol.30, issue.5, pp.1408-1416, 2008.
DOI : 10.1016/j.engstruct.2007.07.023

O. Connor, A. Jacob, B. O-'brien, E. Prat, and M. , Report of studies on performed on the normal load model, LM1, ENV 1991-3 Traffic Loads on Bridges, 1998.

O. Connor, A. Jacob, B. O-'brien, E. Prat, and M. , Report of current studies performed on normal load model of EC1, Revue Francaise de Génie Civil, vol.5, issue.4, pp.411-433, 2001.

O. Connor, A. , O. 'brien, and E. J. , Traffic load modelling and factors influencing the accuracy of predicted extremes, Canadian Journal of Civil Engineering, vol.32, issue.1, pp.270-278, 2005.
DOI : 10.1139/l04-092

O. Connor and A. J. , Probabilistic traffic load modelling for highway bridges. Doctoral, 2001.

J. Pelphrey and C. Higgins, Calibration of LRFR live load factors for Oregon statedowned bridges using weigh-in-motion data, 2006.

J. Pelphrey, C. Higgins, B. Sivakumar, R. Groff, B. Hartman et al., State-Specific LRFR Live Load Factors Using Weigh-in-Motion Data, Journal of Bridge Engineering, vol.13, issue.4, pp.339-350, 2008.
DOI : 10.1061/(ASCE)1084-0702(2008)13:4(339)

L. Peng and A. H. Welsh, Robust estimation of the generalized Pareto distribution, Extremes, vol.4, issue.1, pp.53-65, 2001.
DOI : 10.1023/A:1012233423407

M. S. Pfeil, R. C. Battista, and A. J. Mergulhao, Stress concentration in steel bridge orthotropic decks, Journal of Constructional Steel Research, vol.61, issue.8, pp.611172-1184, 2005.
DOI : 10.1016/j.jcsr.2005.02.006

I. Pickands and J. , Statistical inference using extreme order statistics. The Annals of Statistics, pp.119-131, 1975.

V. F. Pisarenko and D. Sornette, Characterization of the Frequency of Extreme Earthquake Events by the Generalized Pareto Distribution, Pure and Applied Geophysics, vol.160, issue.12, pp.2343-2364, 2003.
DOI : 10.1007/s00024-003-2397-x

H. Prem, . Austroads, B. Gleeson, . Arrb-transport-research, R. George et al., Estimation of lane width requirements for heavy vehicles on straight paths, ARRB Transport Research, 1999.

P. F. Rasmussen, Generalized probability weighted moments: Application to the generalized Pareto Distribution, Water Resources Research, vol.194, issue.2, pp.1745-1751, 2001.
DOI : 10.1029/2001WR900014

R. D. Reiss and M. Thomas, Statistical analysis of extreme values -with Applications to Insurance, Finance, Hydrology and Others Feilds, 2007.

S. O. Rice, Mathematical Analysis of Random Noise, Bell System Technical Journal, vol.23, issue.3, pp.282-332, 1944.
DOI : 10.1002/j.1538-7305.1944.tb00874.x

S. O. Rice, Mathematical Analysis of Random Noise, Bell System Technical Journal, vol.24, issue.1, pp.46-156, 1945.
DOI : 10.1002/j.1538-7305.1945.tb00453.x

C. Scarrott and A. Macdonald, A review of extreme value threshold estimation and uncertainty quantification, REVSTAT -Statistical Journal, vol.10, issue.1, pp.33-60, 2012.

G. Sedlacek, G. Merzenich, M. Paschen, A. Bruls, L. Sanpaolesi et al., Background document to EN 1991 -Part 2 -Traffic loads for road bridges -and consequences for the design, 2006.

D. Siegert, M. Estivin, J. Billo, F. Barin, and F. Toutlemonde, Extreme Effects of the Traffic Loads on a Prestressed Concrete Bridge, 10th International Conference on Heavy Vehicle, pp.379-387, 2008.
DOI : 10.1002/9781118623305.ch40

H. Sim and C. Uang, Stress Analyses and Parametric Study on Full-Scale Fatigue Tests of Rib-to-Deck Welded Joints in Steel Orthotropic Decks, Journal of Bridge Engineering, vol.17, issue.5, pp.765-773, 2012.
DOI : 10.1061/(ASCE)BE.1943-5592.0000307

V. P. Singh and M. Ahmad, A comparative evaluation of the estimators of the three-parameter generalized pareto distribution, Journal of Statistical Computation and Simulation, vol.2, issue.2, pp.91-106, 2004.
DOI : 10.1016/0022-1694(91)90054-L

B. Sivakumar and M. Ghosn, Collecting and using Weigh-in-Motion data in LRFD bridge design, Bridge Structures, vol.5, issue.4, pp.151-158, 2009.
DOI : 10.1080/15732480903143045

B. Sivakumar, M. Ghosn, F. Moses, and T. Corporation, Protocols for collecting and using traffic data in bridge design, National Cooperative Highway Research Program (NCHRP) Report, vol.683, 2011.

R. Smith, Threshold Methods for Sample Extremes, Adv. Sci. Inst. Ser. C Math. Phys. Sci, vol.131, pp.621-638, 1984.
DOI : 10.1007/978-94-017-3069-3_48

P. Todorovic and E. Zelenhasic, A Stochastic Model for Flood Analysis, Water Resources Research, vol.41, issue.3, pp.1641-1648, 1970.
DOI : 10.1029/WR006i006p01641

M. A. Treacy and E. Bruhwiler, A monitoring system for determination of real deck slab behaviour in prestressed box girder bridges, 2012.
DOI : 10.1201/b12352-214

P. Tsakopoulos and J. Fisher, Full-Scale Fatigue Tests of Steel Orthotropic Decks for the Williamsburg Bridge, Journal of Bridge Engineering, vol.8, issue.5, pp.323-333, 2003.
DOI : 10.1061/(ASCE)1084-0702(2003)8:5(323)

J. Van-de-lindt, G. Fu, Y. Zhou, P. , and R. , Locality of Truck Loads and Adequacy of Bridge Design Load, Journal of Bridge Engineering, vol.10, issue.5, pp.622-629, 2005.
DOI : 10.1061/(ASCE)1084-0702(2005)10:5(622)

J. W. Van-de-lindt, G. Fu, R. M. Pablo, and Y. Zhou, Investigation of the adequacy of current design loads in the state of Michigan, 2002.

B. Victoria-feser, M. Ronchetti, and E. , Robust methods for personal-income distribution models, Canadian Journal of Statistics, vol.51, issue.3-4, pp.247-258, 1994.
DOI : 10.2307/3315587

J. A. Villasenor-alva and E. Gonzalez-estrada, A bootstrap goodness of fit test for the generalized Pareto distribution, Computational Statistics & Data Analysis, vol.53, issue.11, pp.533835-3841, 2009.
DOI : 10.1016/j.csda.2009.04.001

R. Von-mises, La distribution de la plus grande de n valeurs. Revue de l, pp.1-20, 1936.

Q. J. Wang, LH moments for statistical analysis of extreme events, Water Resources Research, vol.194, issue.12, pp.2841-2848, 1997.
DOI : 10.1029/97WR02134

T. Wang, C. Liu, D. Huang, and M. Shahawy, Truck Loading and Fatigue Damage Analysis for Girder Bridges Based on Weigh-in-Motion Data, Journal of Bridge Engineering, vol.10, issue.1, pp.12-20, 2005.
DOI : 10.1061/(ASCE)1084-0702(2005)10:1(12)

Z. Xiao, K. Yamada, J. Inoue, Y. , and K. , Fatigue cracks in longitudinal ribs of steel orthotropic deck, International Journal of Fatigue, vol.28, issue.4, pp.409-416, 2006.
DOI : 10.1016/j.ijfatigue.2005.07.017

Z. Xiao, K. Yamada, S. Ya, and X. Zhao, Stress analyses and fatigue evaluation of rib-to-deck joints in steel orthotropic decks, International Journal of Fatigue, vol.30, issue.8, pp.301387-1397, 2008.
DOI : 10.1016/j.ijfatigue.2007.10.008

S. Ya, K. Yamada, and T. Ishikawa, Fatigue Evaluation of Rib-to-Deck Welded Joints of Orthotropic Steel Bridge Deck, Journal of Bridge Engineering, vol.16, issue.4, pp.492-499, 2010.
DOI : 10.1061/(ASCE)BE.1943-5592.0000181

N. D. Ylvisaker, The Expected Number of Zeros of a Stationary Gaussian Process, The Annals of Mathematical Statistics, vol.36, issue.3, pp.1043-1046, 1965.
DOI : 10.1214/aoms/1177700077

C. Zanuy, L. F. Maya, L. Albajar, and P. De-la-fuente, Transverse fatigue behaviour of lightly reinforced concrete bridge decks, Engineering Structures, vol.33, issue.10, pp.332839-2849, 2011.
DOI : 10.1016/j.engstruct.2011.06.008

J. Zhang, LIKELIHOOD MOMENT ESTIMATION FOR THE GENERALIZED PARETO DISTRIBUTION, Australian & New Zealand Journal of Statistics, vol.64, issue.1, 2007.
DOI : 10.1111/j.1467-842X.2006.00464.x

X. Y. Zhou, F. Schmidt, J. , and B. , Assessing confidence intervals of extreme traffic loads, 6th International Conference on Weigh-in-Motion, ICWIM6, pp.400-410, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00950523

A. Figure, 5: GVW histogram and fitting for 2-axle trucks (a) Category 2. (b) Category 3

A. Figure, 6: GVW histogram and fitting for 3-axle trucks

A. Appendix, Weigh-in-Motion Data and its Statistical Analysis (a) Category 4. (b) Category 7

A. Figure, 7: GVW histogram and fitting for 4-axle truck (a) Category 5. (b) Category 8

A. Figure and . Brien, GVW histogram and fitting for 5-axle trucks A.3.4 Axle Loads For short-to medium span bridges, the axle loads are particularly important. Various methods have been proposed in the literature to model the axle loads. Caprani have used a mixture of Normal, bimodal Normal and trimodal Normal distibutions to each class of truck, 2005.

. Bailey, Beta distribution for axle groups, and normal distribution for single axles As the multi-modal Normal distribution is extensively used to model axle wght. In this study, the percentage of the GVW carried by each axle is modelled using uni-, bi-and tri-modal normal distributions, 1996.