C. Ammon, A comparison of deconvolution techniques, Rep. UCID-ID-111667, 1992.

C. Ammon, G. Randall, and G. Zandt, On the nonuniqueness of receiver function inversions, Journal of Geophysical Research, vol.58, issue.B10, pp.303-15318, 1990.
DOI : 10.1029/JB095iB10p15303

P. Arroucau, N. Rawlinson, and M. Sambridge, New insight into Cainozoic sedimentary basins and Palaeozoic suture zones in southeast Australia from ambient noise surface wave tomography, Geophysical Research Letters, vol.34, issue.3-4, pp.10-1029, 2010.
DOI : 10.1029/2009GL041974

S. Bannister, J. Yu, B. Leitner, and B. L. Kennett, Variations in crustal structure across the transition from West to East Antarctica, Southern Victoria Land, Variations in crustal structure across the transition from West to East Antarctica, pp.870-880, 2003.
DOI : 10.1111/j.1365-246X.2003.02094.x

T. Bayes, AN ESSAY TOWARDS SOLVING A PROBLEM IN THE DOCTRINE OF CHANCES, Biometrika, vol.45, issue.3-4, pp.370-418, 1763.
DOI : 10.1093/biomet/45.3-4.296

T. Bodin and M. Sambridge, Seismic tomography with the reversible jump algorithm, Geophysical Journal International, vol.178, issue.3, pp.1411-1436, 2009.
DOI : 10.1111/j.1365-246X.2009.04226.x

R. Brodie and M. Sambridge, A holistic approach to inversion of frequency-domain airborne EM data, GEOPHYSICS, vol.71, issue.6, pp.71-301, 2006.
DOI : 10.1190/1.2356112

R. Brodie and M. Sambridge, Holistic inversion of frequency-domain airborne electromagnetic data with minimal prior information, Exploration Geophysics, vol.40, issue.1, pp.8-16, 2009.
DOI : 10.1071/EG08110

M. Campillo and A. Paul, Long-Range Correlations in the Diffuse Seismic Coda, Science, vol.299, issue.5606, pp.299-547, 2003.
DOI : 10.1126/science.1078551
URL : https://hal.archives-ouvertes.fr/hal-00107924

S. Chang, C. Baag, and C. Langston, Joint Analysis of Teleseismic Receiver Functions and Surface Wave Dispersion using the Genetic Algorithm, Bulletin of the Seismological Society of America, vol.94, issue.2, pp.691-704, 2004.
DOI : 10.1785/0120030110

K. Charvin, K. Gallagher, G. Hampson, and R. Labourdette, A Bayesian approach to inverse modelling of stratigraphy, part 1: method, Basin Research, vol.18, issue.1, pp.5-25, 2009.
DOI : 10.1111/j.1365-2117.2008.00369.x
URL : https://hal.archives-ouvertes.fr/insu-00376285

K. Charvin, G. Hampson, K. Gallagher, and R. Labourdette, A Bayesian approach to inverse modelling of stratigraphy, part 2: Validation tests, Basin Research, vol.239, issue.1, pp.27-45, 2009.
DOI : 10.1111/j.1365-2117.2008.00370.x
URL : https://hal.archives-ouvertes.fr/insu-00376289

Y. Chen, F. Niu, R. Liu, Z. Huang, H. Tkal?i? et al., Crustal structure beneath China from receiver function analysis, Journal of Geophysical Research, vol.105, issue.B6, pp.330710-1029, 2010.
DOI : 10.1029/2009JB006386

R. Clayton and R. Wiggins, Source shape estimation and deconvolution of teleseismic bodywaves, Geophysical Journal International, vol.47, issue.1, pp.151-177, 1976.
DOI : 10.1111/j.1365-246X.1976.tb01267.x

P. Clifford, S. Greenhalgh, G. Houseman, and F. Graeber, 3-D seismic tomography of the Adelaide fold belt, Geophysical Journal International, vol.172, issue.1, pp.167-186, 2007.
DOI : 10.1111/j.1365-246X.2007.03606.x

G. Clitheroe, O. Gudmundsson, and B. Kennett, The crustal thickness of Australia, Journal of Geophysical Research: Solid Earth, vol.127, issue.1B Supp., pp.697-13713, 2000.
DOI : 10.1029/1999JB900317

D. Denison, N. Adams, C. Holmes, and D. Hand, Bayesian partition modelling, Bayesian partition modelling, pp.475-485, 2002.
DOI : 10.1016/S0167-9473(01)00073-1

J. Dettmer, S. Dosso, and C. Holland, Uncertainty estimation in seismo-acoustic reflection travel time inversion, The Journal of the Acoustical Society of America, vol.122, issue.1, pp.161-176, 2007.
DOI : 10.1121/1.2736514

J. Dettmer, S. Dosso, and C. Holland, Joint time/frequency-domain inversion of reflection data for seabed geoacoustic profiles and uncertainties, The Journal of the Acoustical Society of America, vol.123, issue.3, pp.1306-1317, 2008.
DOI : 10.1121/1.2832619

J. Dettmer, C. Holland, and S. Dosso, Analyzing lateral seabed variability with Bayesian inference of seabed reflection data, The Journal of the Acoustical Society of America, vol.126, issue.1, pp.56-69, 2009.
DOI : 10.1121/1.3147489

J. Dettmer, S. Dosso, and C. Holland, Trans-dimensional geoacoustic inversion, The Journal of the Acoustical Society of America, vol.128, issue.6, pp.3393-3405, 2010.
DOI : 10.1121/1.3500674

D. Bona and M. , Variance estimate in frequency-domain deconvolution for teleseismic receiver function computation, Geophysical Journal International, vol.134, issue.2, pp.634-646, 1998.
DOI : 10.1111/j.1365-246X.1998.tb07128.x

Z. Du and G. Foulger, The crustal structure beneath the northwest fjords, Iceland, from receiver functions and surface waves, Geophysical Journal International, vol.139, issue.2, pp.419-432, 1999.
DOI : 10.1046/j.1365-246x.1999.00945.x

A. Duijndam, BAYESIAN ESTIMATION IN SEISMIC INVERSION. PART I: PRINCIPLES1, Geophysical Prospecting, vol.20, issue.8, pp.878-898, 1988.
DOI : 10.1190/1.1440672

A. Duijndam, BAYESIAN ESTIMATION IN SEISMIC INVERSION. PART II: UNCERTAINTY ANALYSIS1, Geophysical Prospecting, vol.90, issue.8, pp.899-918, 1988.
DOI : 10.1190/1.1442012

A. Frederiksen, H. Folsom, and G. Zandt, conversions for anisotropy and layer dip, Geophysical Journal International, vol.155, issue.1, pp.200-212, 2003.
DOI : 10.1046/j.1365-246X.2003.02043.x
URL : http://gji.oxfordjournals.org/cgi/content/short/155/1/200

K. Gallagher, K. Charvin, S. Nielsen, M. Sambridge, and J. Stephenson, Markov chain Monte Carlo (MCMC) sampling methods to determine optimal models, model resolution and model choice for Earth Science problems, Marine and Petroleum Geology, vol.26, issue.4, pp.525-535, 2009.
DOI : 10.1016/j.marpetgeo.2009.01.003
URL : https://hal.archives-ouvertes.fr/insu-00381707

K. Gallagher, T. Bodin, M. Sambridge, D. Weiss, M. Kylander et al., Inference of abrupt changes in noisy geochemical records using transdimensional changepoint models, Earth and Planetary Science Letters, vol.311, issue.1-2, pp.182-194, 2011.
DOI : 10.1016/j.epsl.2011.09.015
URL : https://hal.archives-ouvertes.fr/insu-00641253

C. Geyer and J. Møller, Simulation procedures and likelihood inference for spatial point processes, Scand, J. Stat, vol.21, issue.4, pp.359-373, 1994.

W. Gouveia and J. Scales, Bayesian seismic waveform inversion: Parameter estimation and uncertainty analysis, Journal of Geophysical Research: Solid Earth, vol.108, issue.B2, pp.2759-2780, 1998.
DOI : 10.1029/97JB02933
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.6581

F. Graeber, G. Houseman, and S. Greenhalgh, Regional teleseismic tomography of the western Lachlan Orogen and the Newer Volcanic Province, southeast Australia, Geophysical Journal International, vol.149, issue.2, pp.249-266, 2002.
DOI : 10.1046/j.1365-246X.2002.01598.x

P. Green, Reversible jump Markov chain Monte Carlo computation and Bayesian model determination, Biometrika, vol.82, issue.4, pp.711-732, 1995.
DOI : 10.1093/biomet/82.4.711

P. Green, Trans-dimensional Markov chain Monte Carlo, Highly Struct. Stochastic Syst, vol.27, pp.179-198, 2003.

N. Haskell, The dispersion of surface waves on multilayered media, Bull. Seismol. Soc. Am, vol.43, issue.1, pp.17-34, 1953.
DOI : 10.1029/SP030p0086

W. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, vol.57, issue.1, pp.97-109, 1970.
DOI : 10.1093/biomet/57.1.97

G. Hetényi and Z. Bus, Shear wave velocity and crustal thickness in the Pannonian Basin from receiver function inversions at four permanent stations in Hungary, Journal of Seismology, vol.105, issue.1, pp.405-414, 2007.
DOI : 10.1007/s10950-007-9060-4

P. Hopcroft, K. Gallagher, and C. Pain, Inference of past climate from borehole temperature data using Bayesian Reversible Jump Markov chain Monte Carlo, Geophysical Journal International, vol.171, issue.3, pp.1430-1439, 2007.
DOI : 10.1111/j.1365-246X.2007.03596.x
URL : https://hal.archives-ouvertes.fr/insu-00221388

P. Hopcroft, K. Gallagher, and C. Pain, A Bayesian partition modelling approach to resolve spatial variability in climate records from borehole temperature inversion, Geophysical Journal International, vol.178, issue.2, pp.651-666, 2009.
DOI : 10.1111/j.1365-246X.2009.04192.x
URL : https://hal.archives-ouvertes.fr/insu-00424558

A. Jasra, D. Stephens, K. Gallagher, and C. Holmes, Bayesian Mixture Modelling in Geochronology via Markov Chain Monte Carlo, Mathematical Geology, vol.224, issue.1, pp.269-300, 2006.
DOI : 10.1007/s11004-005-9019-3

J. Juliá, C. Ammon, R. Herrmann, and A. Correig, Joint inversion of receiver function and surface wave dispersion observations, Geophysical Journal International, vol.143, issue.1, pp.99-112, 2000.
DOI : 10.1046/j.1365-246x.2000.00217.x

J. Juliá, C. Ammon, and R. Herrmann, Lithospheric structure of the Arabian Shield from the joint inversion of receiver functions and surfacewave group velocities, Tectonophysics, pp.371-372, 2003.

R. Kind, G. Kosarev, and N. Petersen, Receiver functions at the stations of the German Regional Seismic Network (GRSN), Receiver functions at the stations of the German Regional Seismic Network (GRSN), pp.191-202, 1995.
DOI : 10.1111/j.1365-246X.1995.tb03520.x

G. Kosarev, N. Petersen, L. Vinnik, and S. Roecker, Receiver functions for the Tien Shan Analog Broadband Network: Contrasts in the evolution of structures across the Talasso-Fergana Fault, Journal of Geophysical Research: Solid Earth, vol.96, issue.6, pp.4437-4448, 1993.
DOI : 10.1029/92JB02651

C. Langston, Structure under Mount Rainier, Washington, inferred from teleseismic body waves, Journal of Geophysical Research, vol.62, issue.B9, pp.4749-4762, 1979.
DOI : 10.1029/JB084iB09p04749

J. Lawrence and D. Wiens, Combined Receiver-Function and Surface Wave Phase-Velocity Inversion Using a Niching Genetic Algorithm: Application to Patagonia, Bulletin of the Seismological Society of America, vol.94, issue.3, pp.977-987, 2004.
DOI : 10.1785/0120030172

V. Levin and J. Park, P-SH conversions in a flat-layered medium with anisotropy of arbitrary orientation, Geophys, J. Int, vol.131, issue.2, pp.253-266, 1997.

J. Ligorria and C. Ammon, Iterative deconvolution and receiverfunction estimation, Bull. Seismol. Soc. Am, vol.89, issue.5, pp.1395-1400, 1999.

D. Lombardi, Alpine crustal and upper-mantle structure from receiver functions, 2007.

W. Lowrie, Fundamentals of Geophysics, 1997.
DOI : 10.1017/CBO9780511807107

F. Lucente, N. Piana-agostinetti, M. Moro, G. Selvaggi, and M. D. Bona, Possible fault plane in a seismic gap area of the southern Apennines (Italy) revealed by receiver function analysis, Journal of Geophysical Research: Solid Earth, vol.85, issue.20, pp.430710-1029, 2005.
DOI : 10.1029/2002GL015109

X. Luo, Constraining the shape of a gravity anomalous body using reversible jump Markov chain Monte Carlo, Geophysical Journal International, vol.180, issue.3, pp.1067-1079, 2010.
DOI : 10.1111/j.1365-246X.2009.04479.x

D. Mackay, Information Theory, Inference, and Learning Algorithms, 2003.

P. Mahalanobis, On the generalised distance in statistics, Proc. Natl. Acad. Sci. India, pp.49-55, 1936.

A. Malinverno, Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem, Geophysical Journal International, vol.151, issue.3, pp.675-688, 2002.
DOI : 10.1046/j.1365-246X.2002.01847.x

A. Malinverno and V. Briggs, Expanded uncertainty quantification in inverse problems: Hierarchical Bayes and empirical Bayes, GEOPHYSICS, vol.69, issue.4, 1005.
DOI : 10.1190/1.1778243

A. Malinverno and R. Parker, Two ways to quantify uncertainty in geophysical inverse problems, GEOPHYSICS, vol.71, issue.3, pp.10-1190, 2006.
DOI : 10.1190/1.2194516

N. Metropolis, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics, vol.21, issue.6, pp.1087-1091, 1953.
DOI : 10.1063/1.1699114

B. Minsley, A trans-dimensional Bayesian Markov chain Monte Carlo algorithm for model assesment using frequency-domain electromagnetic data, Geophys, J. Int, vol.187, pp.252-272, 2011.

M. Moorkamp, A. Jones, and S. Fishwick, Joint inversion of receiver functions, surface wave dispersion, and magnetotelluric data, Journal of Geophysical Research, vol.165, issue.1, pp.10-1029, 2010.
DOI : 10.1029/2009JB006369

K. Mosegaard and A. Tarantola, Monte Carlo sampling of solutions to inverse problems, Journal of Geophysical Research: Solid Earth, vol.10, issue.6, pp.12-431, 1995.
DOI : 10.1029/94JB03097

T. Nicholson, M. Bostock, and J. Cassidy, New constraints on subduction zone structure in northern Cascadia, Geophysical Journal International, vol.161, issue.3, pp.849-859, 2005.
DOI : 10.1111/j.1365-246X.2005.02605.x

F. Nicollin, D. Gibert, P. Bossart, C. Nussbaum, and C. Guervilly, Seismic tomography of the Excavation Damaged Zone of the Gallery 04 in the Mont Terri Rock Laboratory, Seismic tomography of the excavation damaged zone of the Gallery 04 in the Mont Terri Rock Laboratory, pp.226-239, 2008.
DOI : 10.1111/j.1365-246X.2007.03615.x
URL : https://hal.archives-ouvertes.fr/insu-00221394

T. Owens, G. Zandt, and S. Taylor, waveforms, Journal of Geophysical Research: Solid Earth, vol.10, issue.B9, pp.7783-7795, 1984.
DOI : 10.1029/JB089iB09p07783

S. Özalaybey, M. Savage, A. Sheehan, J. Louie, and J. Brune, Shear-wave velocity structure in the northern Basin and Range province from the combined analysis of receiver functions and surface waves, Bull. Seismol. Soc. Am, vol.87, issue.1, pp.183-199, 1997.

R. Phinney, Structure of the Earth's crust from spectral behavior of long-period body waves, Journal of Geophysical Research, vol.222, issue.14, pp.2997-3017, 1964.
DOI : 10.1029/JZ069i014p02997

P. Agostinetti, N. , and C. Chiarabba, Seismic structure beneath Mt Vesuvius from receiver function analysis and local earthquakes tomography: evidences for location and geometry of the magma chamber, Geophysical Journal International, vol.175, issue.3, pp.1298-1308, 2008.
DOI : 10.1111/j.1365-246X.2008.03868.x

P. Agostinetti, N. , and A. Malinverno, Receiver function inversion by trans-dimensional Monte Carlo sampling, Geophysical Journal International, vol.181, issue.2, pp.858-872, 2010.
DOI : 10.1111/j.1365-246X.2010.04530.x

N. Rawlinson and B. Kennett, Teleseismic tomography of the upper mantle beneath the southern Lachlan Orogen, Australia, Physics of the Earth and Planetary Interiors, vol.167, issue.1-2, pp.84-97, 2008.
DOI : 10.1016/j.pepi.2008.02.007

N. Rawlinson and M. Urvoy, Simultaneous inversion of active and passive source data sets for 3-D seismic structure with application to Tasmania, Geophys. Res. Lett, pp.10-1029, 2006.

N. Rawlinson, A. Reading, and B. Kennett, Lithospheric structure of Tasmania from a novel form of teleseismic tomography, Journal of Geophysical Research: Solid Earth, vol.127, issue.B8, pp.10-1029, 2006.
DOI : 10.1029/2005JB003803

A. Reading, B. Kennett, and M. Dentith, Seismic structure of the Yilgarn Craton, Western Australia, Seismic structure of the Yilgarn Craton, Western Australia, pp.427-438, 2003.
DOI : 10.1046/j.1440-0952.2003.01000.x

A. Reading, T. Bodin, M. Sambridge, S. Howe, and M. Roach, Down the borehole but outside the box: Innovative approaches to wireline log data interpretation, paper presented at 21st International Geophysics Conference and Exhibition, Aust. Soc. of Explor. Geophys, 2010.

J. Rosenthal, Parallel computing and Monte Carlo algorithms, Far East J. Theor. Stat, vol.4, issue.2, pp.207-236, 2000.

M. Saito, DISPER80: A subroutine package for the calculation of seismic normal-mode solutions, Seismological Algorithms: Computational Methods and Computer Programs, pp.293-319, 1988.

M. Salah, S. Chang, and J. Fonseca, Crustal structure beneath the Lower Tagus Valley, southwestern Iberia using joint analysis of teleseismic receiver functions and surface-wave dispersion, Geophysical Journal International, vol.184, issue.2, pp.919-933, 2011.
DOI : 10.1111/j.1365-246X.2010.04891.x

M. Sambridge, Geophysical inversion with a neighbourhood algorithm-I. Searching a parameter space, Geophysical Journal International, vol.138, issue.2, pp.479-494, 1999.
DOI : 10.1046/j.1365-246X.1999.00876.x

M. Sambridge, Geophysical inversion with a neighbourhood algorithm-II. Appraising the ensemble, Geophysical Journal International, vol.138, issue.3, pp.727-746, 1999.
DOI : 10.1046/j.1365-246x.1999.00900.x

J. Scales and R. Snieder, To Bayes or not to Bayes?, To Bayes or not to Bayes, pp.1045-1046, 1997.
DOI : 10.1190/1.6241045.1

J. Scales and R. Snieder, What is noise?, What is noise, pp.1122-1124, 1998.
DOI : 10.1190/1.1444411

N. Shapiro and M. Campillo, Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise, Geophysical Research Letters, vol.110, issue.B12, pp.10-1029, 2004.
DOI : 10.1029/2004GL019491
URL : https://hal.archives-ouvertes.fr/hal-00107919

T. Shibutani, M. Sambridge, and B. Kennett, Genetic algorithm inversion for receiver functions with application to crust and uppermost mantle structure beneath eastern Australia, Geophysical Research Letters, vol.22, issue.14, pp.1829-1832, 1996.
DOI : 10.1029/96GL01671

S. Sisson, Transdimensional Markov Chains, Journal of the American Statistical Association, vol.100, issue.471, pp.1077-1090, 2005.
DOI : 10.1198/016214505000000664

A. Smith, Bayesian Computational Methods, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.337, issue.1647, pp.369-386, 1647.
DOI : 10.1098/rsta.1991.0130

L. Stehly, B. Fry, M. Campillo, N. Shapiro, J. Guilbert et al., Tomography of the Alpine region from observations of seismic ambient noise, Geophysical Journal International, vol.178, issue.1, pp.338-350, 2009.
DOI : 10.1111/j.1365-246X.2009.04132.x
URL : https://hal.archives-ouvertes.fr/insu-00447974

J. Stephenson, K. Gallagher, and C. Holmes, Beyond kriging: dealing with discontinuous spatial data fields using adaptive prior information and Bayesian partition modelling, Geological Society, London, Special Publications, vol.239, issue.1, pp.195-209, 2004.
DOI : 10.1144/GSL.SP.2004.239.01.13

J. Stephenson, K. Gallagher, and C. Holmes, Low temperature thermochronology and strategies for multiple samples, Earth and Planetary Science Letters, vol.241, issue.3-4, pp.3-4, 2006.
DOI : 10.1016/j.epsl.2005.11.027

A. Tarantola and B. Valette, Inverse problems = quest for information, J. Geophys, vol.50, issue.3, pp.150-170, 1982.

W. Thomson, Transmission of Elastic Waves through a Stratified Solid Medium, Journal of Applied Physics, vol.21, issue.2, pp.89-93, 1950.
DOI : 10.1063/1.1699629

H. Tkal?i?, M. Pasyanos, A. Rodgers, R. Gok, W. Walter et al., A multistep approach for joint modeling of surface wave dispersion and teleseismic receiver functions: Implications for lithospheric structure of the Arabian Peninsula, Journal of Geophysical Research: Solid Earth, vol.26, issue.8, p.1131110, 1029.
DOI : 10.1029/2005JB003749

H. Tkal?i?, Y. Chen, R. Liu, Z. Huang, L. Sun et al., Multistep modelling of teleseismic receiver functions combined with constraints from seismic tomography: crustal structure beneath southeast China, Geophysical Journal International, vol.187, issue.1, pp.303-326, 2011.
DOI : 10.1111/j.1365-246X.2011.05132.x

A. Tokam, C. Tabod, A. Nyblade, J. Julià, D. Wiens et al., Structure of the crust beneath Cameroon, West Africa, from the joint inversion of Rayleigh wave group velocities and receiver functions, Geophysical Journal International, vol.183, issue.2, pp.1061-1076, 2010.
DOI : 10.1111/j.1365-246X.2010.04776.x

L. Vinnik, C. Reigber, I. Aleshin, G. Kosarev, M. Kaban et al., Receiver function tomography of the central Tien Shan, Receiver function tomography of the central Tien Shan, pp.131-146, 2004.
DOI : 10.1016/j.epsl.2004.05.039

L. Vinnik, I. Aleshin, M. Kaban, S. Kiselev, G. Kosarev et al., Crust and mantle of the Tien Shan from data of the receiver function tomography, Izvestiya, Physics of the Solid Earth, vol.42, issue.8, pp.42-639, 2006.
DOI : 10.1134/S1069351306080027

H. Yoo, R. Herrmann, K. Cho, and K. Lee, Imaging the Three-Dimensional Crust of the Korean Peninsula by Joint Inversion of Surface-Wave Dispersion and Teleseismic Receiver Functions, Bulletin of the Seismological Society of America, vol.97, issue.3, pp.1002-1011, 2007.
DOI : 10.1785/0120060134

L. Zhao, M. Sen, P. Stoffa, and C. Frohlich, Application of Very Fast Simulated Annealing to the Determination of the Crustal Structure Beneath Tibet, Geophysical Journal International, vol.125, issue.2, pp.355-370, 1996.
DOI : 10.1111/j.1365-246X.1996.tb00004.x