K. S. Alexander, A counterexample to a correlation inequality in finite sampling. The Annals of Statistics, pp.436-439, 1989.

R. Bardenet and O. Maillard, Concentration inequalities for sampling without replacement. ArXiv e-prints, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01216652

B. Bollobás, A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs, European Journal of Combinatorics, vol.1, issue.4, pp.311-316, 1980.
DOI : 10.1016/S0195-6698(80)80030-8

B. Bollobás, Random graphs, 1998.

S. Boucheron, G. Lugosi, and P. Massart, Concentration Inequalities
DOI : 10.1007/978-1-4757-2440-0

URL : https://hal.archives-ouvertes.fr/hal-00751496

L. Gordon, Successive Sampling in Large Finite Populations, The Annals of Statistics, vol.11, issue.2, pp.702-706, 1983.
DOI : 10.1214/aos/1176346175

W. Hoeffding, Probability Inequalities for Sums of Bounded Random Variables, Journal of the American Statistical Association, vol.1, issue.301, pp.13-30, 1963.
DOI : 10.1214/aoms/1177730491

L. Holst, Some Limit Theorems with Applications in Sampling Theory, The Annals of Statistics, vol.1, issue.4, pp.644-658, 1973.
DOI : 10.1214/aos/1176342460

K. Joag-dev and F. Proschan, Negative association of random variables with applications. The Annals of Statistics, pp.286-295, 1983.

K. Luh and N. Pippenger, Large-deviation bounds for sampling without replacement, American Mathematical Monthly, vol.121, issue.5, pp.449-454, 2014.

A. Müller and D. Stoyan, Comparison methods for stochastic models and risks. Wiley Series in Probability and Statistics, 2002.

J. Pitman and N. M. Tran, Size biased permutation of a finite sequence with independent and identically distributed terms. ArXiv e-prints, 2012.

J. Pitman and M. Yor, The two-parameter poisson-dirichlet distribution derived from a stable subordinator. The Annals of Probability, pp.855-900, 1997.

B. Rosén, Asymptotic Theory for Successive Sampling with Varying Probabilities Without Replacement, II, The Annals of Mathematical Statistics, vol.43, issue.3, pp.373-397, 1972.
DOI : 10.1214/aoms/1177692543

R. J. Serfling, Probability Inequalities for the Sum in Sampling without Replacement, The Annals of Statistics, vol.2, issue.1, pp.39-48, 1974.
DOI : 10.1214/aos/1176342611

M. Shaked and J. G. Shanthikumar, Stochastic orders. Springer Series in Statistics, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00539122

V. Strassen, The Existence of Probability Measures with Given Marginals, The Annals of Mathematical Statistics, vol.36, issue.2, pp.423-439, 1965.
DOI : 10.1214/aoms/1177700153

R. Szekli, Stochastic ordering and dependence in applied probability, Lecture Notes in Statistics, vol.97, 1995.
DOI : 10.1007/978-1-4612-2528-7

Y. Yu, On the inclusion probabilities in some unequal probability sampling plans without replacement, Bernoulli, vol.18, issue.1, pp.279-289, 2012.
DOI : 10.3150/10-BEJ337

A. Ben-hamou-université-paris-diderot, L. , and S. Germain, E-mail address: benhamou@math.univ-paris-diderot.fr Y. Peres Microsoft Research E-mail address: peres@microsoft, One Microsoft Way