F. Affentranger, Aproximaci??n aleatoria de cuerpos convexos, Publicacions Matem??tiques, vol.36, pp.85-109, 1992.
DOI : 10.5565/PUBLMAT_36192_08

D. Aldous and J. M. Steele, The Objective Method: Probabilistic Combinatorial Optimization and Local Weak Convergence, Discrete and combinatorial probability, pp.1-72, 2003.
DOI : 10.1007/978-3-662-09444-0_1

I. Bárány, F. Fodor, and V. Vigh, Intrinsic volumes of inscribed random polytopes in smooth convex bodies, 2009.

Y. Baryshnikov, P. Eichelsbacher, T. Schreiber, and J. E. Yukich, Moderate deviations for some point measures in geometric probability, Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, pp.422-446, 2008.
DOI : 10.1214/07-AIHP137

Y. Baryshnikov and J. E. Yukich, Gaussian limits for random measures in geometric probability, The Annals of Applied Probability, vol.15, issue.1A, pp.1-213, 2005.
DOI : 10.1214/105051604000000594

Y. Baryshnikov, M. Penrose, and J. E. Yukich, Gaussian limits for generalized spacings, The Annals of Applied Probability, vol.19, issue.1, pp.158-185, 2009.
DOI : 10.1214/08-AAP537

P. J. Bickel and M. J. Wichura, Convergence Criteria for Multiparameter Stochastic Processes and Some Applications, The Annals of Mathematical Statistics, vol.42, issue.5, pp.1656-1670, 1971.
DOI : 10.1214/aoms/1177693164

H. Bräker, T. Hsing, and N. H. Bingham, On the Hausdorff distance between a convex set and an interior random convex hull, Advances in Applied Probability, vol.79, issue.02, pp.295-316, 1998.
DOI : 10.1112/S0025579300015266

C. Buchta, An Identity Relating Moments of Functionals of Convex Hulls, Discrete & Computational Geometry, vol.33, issue.1, pp.125-142, 2005.
DOI : 10.1007/s00454-004-1109-3

C. Buchta, Zufállige Polyeder-Einë Ubersicht, 1985.

P. Calka, The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane, Advances in Applied Probability, vol.283, issue.04, pp.702-717, 2002.
DOI : 10.1007/BF02789327

P. Calka and T. Schreiber, Limit theorems for the typical Poisson???Voronoi cell and the Crofton cell with a large inradius, The Annals of Probability, vol.33, issue.4, pp.1625-1642, 2005.
DOI : 10.1214/009117905000000134

URL : https://hal.archives-ouvertes.fr/hal-00170739

W. F. Eddy, The distribution of the convex hull of a Gaussian sample, Journal of Applied Probability, vol.2, issue.03, pp.686-695, 1980.
DOI : 10.1214/aos/1176343801

P. M. Gruber, Comparisons of best and random approximations of convex bodies by polytopes, Rend. Circ. Mat. Palermo, vol.50, issue.2, pp.189-216, 1997.

H. J. Hilhorst, New Monte Carlo method for planar Poisson???Voronoi cells, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.11, pp.2615-2638, 2007.
DOI : 10.1088/1751-8113/40/11/002

URL : https://hal.archives-ouvertes.fr/hal-00121917

T. Hsing, On the Asymptotic Distribution of the Area Outside a Random Convex Hull in a Disk, The Annals of Applied Probability, vol.4, issue.2, pp.478-493, 1994.
DOI : 10.1214/aoap/1177005069

D. Hug, M. Reitzner, and R. Schneider, The limit shape of the zero cell in a stationary Poisson hyperplane tessellation, pp.1140-1167, 2004.

S. Janson, Random coverings in several dimensions, Acta Mathematica, vol.156, issue.0, pp.83-118, 1986.
DOI : 10.1007/BF02399201

K. Küfer, On the approximation of a ball by random polytopes, Advances in Applied Probability, vol.2, issue.04, pp.876-892, 1994.
DOI : 10.2307/3212146

M. Mayer and I. Molchanov, Limit theorems for the diameter of a random sample in the unit ball, Extremes, pp.129-150, 2007.

I. Molchanov, On the convergence of random processes generated by polyhedral approximations of compact convex sets, Theory Probab, Appl. Veroyatnost. i Primenen, vol.40, issue.2, pp.383-390, 1995.

M. D. Penrose, Gaussian Limts for Random Geometric Measures, Electronic Journal of Probability, vol.12, issue.0, pp.989-1035, 2007.
DOI : 10.1214/EJP.v12-429

M. D. Penrose, Laws of large numbers in stochastic geometry with statistical applications, Bernoulli, vol.13, issue.4, pp.1124-1150, 2007.
DOI : 10.3150/07-BEJ5167

M. D. Penrose and J. E. Yukich, Central Limit Theorems for Some Graphs in Computational Geometry, The Annals of Applied Probability, vol.11, issue.4, pp.1005-1041, 2001.
DOI : 10.1214/aoap/1015345393

M. D. Penrose and J. E. Yukich, Limit Theory for Random Sequential Packing and Deposition, The Annals of Applied Probability, vol.12, issue.1, pp.272-301, 2002.
DOI : 10.1214/aoap/1015961164

M. D. Penrose and J. E. Yukich, Weak laws of large numbers in geometric probability, The Annals of Applied Probability, vol.13, issue.1, pp.277-303, 2003.
DOI : 10.1214/aoap/1042765669

M. D. Penrose and J. E. Yukich, Normal approximation in geometric probability, in Stein's Method and Applications, Lecture Note Series, pp.37-58, 2005.

A. Rényi and R. Sulanke, ???ber die konvexe H???lle von n zuf???llig gew???hlten Punkten, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.2, issue.1, pp.75-84, 1963.
DOI : 10.1007/BF00535300

R. Reiss, A course on point processes, 1993.
DOI : 10.1007/978-1-4613-9308-5

M. Reitzner, Central limit theorems for random polytopes, Probab. Theory Related Fields, pp.488-507, 2005.

S. I. Resnick, Extreme values, regular variation and point processes, 1987.
DOI : 10.1007/978-0-387-75953-1

R. Schneider, Random approximation of convex sets*, Journal of Microscopy, vol.68, issue.4, pp.211-227, 1988.
DOI : 10.1111/j.1365-2818.1988.tb04682.x

R. Schneider, Discrete aspects of stochastic geometry, in Handbook of Discrete and, pp.167-184, 1997.

T. Schreiber, Limit theorems in stochastic geometry, New Perspectives in Stochastic Geometry, 2009.

T. Schreiber and J. E. Yukich, Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points, The Annals of Probability, vol.36, issue.1, pp.363-396, 2008.
DOI : 10.1214/009117907000000259

N. Shank, Limit theorems for random Euclidean graphs, 2006.

A. F. Siegel and L. Holst, Covering the circle with random arcs of random sizes, J, 1982.

W. Weil and J. A. Wieacker, Stochastic geometry, pp.1391-1438, 1993.

V. Vu, Sharp concentration of random polytopes, GAFA Geometric And Functional Analysis, vol.15, issue.6, pp.1284-1318, 2005.
DOI : 10.1007/s00039-005-0541-8

V. Vu, Central limit theorems for random polytopes in a smooth convex set, Advances in Mathematics, vol.207, issue.1, pp.221-243, 2006.
DOI : 10.1016/j.aim.2005.11.011

P. Calka, M. , U. F. De-mathématiques, and . Informatique, 45 rue des Saints-P` eres, 75270 Paris Cedex 06 France; pierre.calka@mi.parisdescartes.fr Tomasz Schreiber, 18015.