R. Binder and D. A. , On the Variances of Asymptotically Normal Estimators from Complex Surveys, International Statistical Review / Revue Internationale de Statistique, vol.51, issue.3, pp.279-292, 1983.
DOI : 10.2307/1402588

D. Bonnéry, F. J. Breidt, C. , and F. , Uniform convergence of the empirical cumulative distribution function under informative selection from a finite population, Bernoulli, vol.18, issue.4, 2011.
DOI : 10.3150/11-BEJ369

D. Bonnéry, G. Chauvet, and J. Deville, Optimum de type neyman pour l'échantillonnage équilibré sur des marges, Actes des Journées de Méthodologie Statistique, 2009.

J. Breckling, R. L. Chambers, A. H. Dorfman, S. Tam, and A. Welsh, Maximum Likelihood Inference from Sample Survey Data, International Statistical Review / Revue Internationale de Statistique, vol.62, issue.3, pp.62349-363, 1994.
DOI : 10.2307/1403766

C. Cassel, C. Särndal, and J. H. Wretman, Foundations of Inference in Survey Sampling, 1977.

R. L. Chambers, A. H. Dorfman, W. , and S. , Limited information likelihood analysis of survey data, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.60, issue.2, pp.397-411, 1998.
DOI : 10.1111/1467-9868.00132

R. L. Chambers and C. J. Skinner, Analysis of Survey Data. Wiley Series in Survey Methodology, 2003.

G. Chauvet, D. Bonnéry, and J. Deville, Optimal inclusion probabilities for balanced sampling, Journal of Statistical Planning and Inference, vol.141, issue.2, pp.984-994, 2011.
DOI : 10.1016/j.jspi.2010.09.005
URL : https://hal.archives-ouvertes.fr/hal-00684988

J. Deville and Y. Tillé, Efficient balanced sampling: The cube method, Biometrika, vol.91, issue.4, pp.893-912, 2004.
DOI : 10.1093/biomet/91.4.893

J. Deville and Y. Tillé, Variance approximation under balanced sampling, Journal of Statistical Planning and Inference, vol.128, issue.2, pp.569-591, 2005.
DOI : 10.1016/j.jspi.2003.11.011
URL : http://doc.rero.ch/record/261027/files/Deville_J-C.-Variance_approximation-20160624.pdf

A. A. Eideh and G. Nathan, Fitting time series models for longitudinal survey data under informative sampling, Journal of Statistical Planning and Inference, vol.136, issue.9, pp.3052-3069, 2006.
DOI : 10.1016/j.jspi.2004.12.003

A. A. Eideh and G. Nathan, Corrigendum to ???Fitting time series models for longitudinal survey data under informative sampling???, Journal of Statistical Planning and Inference, vol.137, issue.2, p.628, 2007.
DOI : 10.1016/j.jspi.2006.08.001

A. A. Eideh and G. Nathan, Two-stage informative cluster sampling???estimation and prediction with applications for small-area models, Journal of Statistical Planning and Inference, vol.139, issue.9, pp.3088-3101, 2009.
DOI : 10.1016/j.jspi.2009.02.019

G. Gong and F. J. Samaniego, Pseudo Maximum Likelihood Estimation: Theory and Applications, The Annals of Statistics, vol.9, issue.4, pp.861-869, 1981.
DOI : 10.1214/aos/1176345526

L. Kish and M. Frankel, Inference from complex surveys, Journal of the Royal Statistical Society, Series B, vol.36, issue.1, pp.1-37, 1974.

D. Pfeffermann, A. M. Krieger, R. , and Y. , Parametric distributions of complex survey data under informative probability sampling, Statistica Sinica REFERENCES Chapter, vol.8, issue.4, pp.1087-1114, 1998.

R. Cassel, C. Särndal, C. Wretman, and J. H. , Foundations of Inference in Survey Sampling, 1977.

W. A. Fuller, Sampling Statistics, 2009.
DOI : 10.1002/9780470523551

C. Gourieroux, Théorie des Sondages, Economica, 1981.

D. G. Horvitz and D. J. Thompson, A Generalization of Sampling Without Replacement from a Finite Universe, Journal of the American Statistical Association, vol.1, issue.260, pp.47663-685, 1952.
DOI : 10.1080/01621459.1949.10483288

D. Pfeffermann and A. M. Krieger, Maximum likelihood estimation for complex sample surveys, Survey Methodology, vol.18, issue.2, pp.225-239, 1992.

D. Pfeffermann and M. Y. Sverchkov, Inference under Informative Sampling, Sample Surveys: Inference and Analysis, volume 29B of Handbook of Statistics, pp.455-487, 2009.
DOI : 10.1016/S0169-7161(09)00239-9

C. J. Skinner, Sample models and weights, Proceedings of the Section on Survey Research Methods, pp.133-142, 1994.

R. Arratia, L. Goldstein, and B. Langholz, Local central limit theorems, the high-order correlations of rejective sampling and logistic likelihood asymptotics, The Annals of Statistics, vol.33, issue.2, pp.871-914, 2005.
DOI : 10.1214/009053604000000706

F. J. Breidt and J. D. Opsomer, Local polynomial regression estimators in survey sampling. The Annals of Statistics, pp.1026-1053, 2000.

F. J. Breidt and J. D. Opsomer, Endogenous post-stratification in surveys: Classifying with a sample-fitted model, The Annals of Statistics, vol.36, issue.1, pp.403-427, 2008.
DOI : 10.1214/009053607000000703

D. Cox, Some Sampling Problems in Technology, pp.506-527, 1969.

W. A. Fuller, Sampling Statistics, 2009.
DOI : 10.1002/9780470523551

J. Hájek, Sampling from a Finite Population, Statistics: Textbooks and Monographs, vol.37, 1981.

J. Hausman and D. Wise, Stratification on endogenous variables and estimation: The Gary income maintenance experiment, pp.36-391, 1981.

C. T. Isaki and W. A. Fuller, Survey Design under the Regression Superpopulation Model, Journal of the American Statistical Association, vol.38, issue.377, pp.7789-96, 1982.
DOI : 10.1080/01621459.1982.10477770

B. Langholz and L. Goldstein, Conditional logistic analysis of case-control studies with complex sampling, Biostatistics, vol.2, issue.1, pp.63-84, 2001.
DOI : 10.1093/biostatistics/2.1.63

G. M. Leigh, A comparison of estimates of natural mortality from fish tagging experiments, Biometrika, vol.75, issue.2, pp.347-353, 1988.
DOI : 10.1093/biomet/75.2.347

N. Mantel, Synthetic Retrospective Studies and Related Topics, Biometrics, vol.29, issue.3, pp.479-486, 1973.
DOI : 10.2307/2529171
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.469.6860

C. Nowell and L. R. Stanley, Length-Biased Sampling in Mall Intercept Surveys, Journal of Marketing Research, vol.28, issue.4, pp.475-479, 1991.
DOI : 10.2307/3172787

G. P. Patil and C. R. Rao, Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families, Biometrics, vol.34, issue.2, pp.179-189, 1978.
DOI : 10.2307/2530008

P. Robinson and C. Särndal, Asymptotic properties of the generalized regression estimator in probability sampling. Sankhy¯ a: The Indian Journal of Statistics, Series B, vol.45, issue.2, pp.240-248, 1983.

C. Särndal, B. Swensson, and J. H. Wretman, Model Assisted Survey Sampling, 1992.
DOI : 10.1007/978-1-4612-4378-6

D. Shaw, On-site samples' regression, Journal of Econometrics, vol.37, issue.2, pp.211-223, 1988.
DOI : 10.1016/0304-4076(88)90003-6

P. Sullivan, F. J. Breidt, R. Ditton, B. Knuth, B. Leaman et al., Review of Recreational Fisheries Survey Methods REFERENCES Under mild additional conditions (continuity of f , continuity of y Þ Ñ E rZ ?k ?Y k ? ys Introduction to nonparametric estimation, 2006.

R. Gong, G. Samaniego, and F. J. , Pseudo Maximum Likelihood Estimation: Theory and Applications, The Annals of Statistics, vol.9, issue.4, pp.861-869, 1981.
DOI : 10.1214/aos/1176345526

R. Berger, Y. G. Muñoz, J. F. , R. , and E. , Variance estimation of survey estimates calibrated on estimated control totals???An application to the extended regression estimator and the regression composite estimator, Computational Statistics & Data Analysis, vol.53, issue.7, pp.532596-2604, 2009.
DOI : 10.1016/j.csda.2008.12.011

X. Chen, A. Dempster, and J. S. Liu, Weighted finite population sampling to maximize entropy, Biometrika, vol.81, issue.3, p.81457, 1994.
DOI : 10.1093/biomet/81.3.457

J. Deville, Note sur l'algorithme de chen, dempster et liu. Rapport technique, CREST-ENSAI, 2000.

J. Deville and C. Särndal, Calibration Estimators in Survey Sampling, Journal of the American Statistical Association, vol.76, issue.418, pp.376-382, 1992.
DOI : 10.1080/01621459.1990.10474969

J. Deville and Y. Tillé, Efficient balanced sampling: The cube method, Biometrika, vol.91, issue.4, pp.893-912, 2004.
DOI : 10.1093/biomet/91.4.893

J. Hájek, Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population, The Annals of Mathematical Statistics, vol.35, issue.4, pp.1491-1523, 1964.
DOI : 10.1214/aoms/1177700375

A. Matei and Y. Tillé, Evaluation of variance approximations and estimators in maximum entropy sampling with unequal probability and fixed sample size Approximation Theorems of Mathematical Statistics, Wiley Series in Probability and Mathematical Statistics, p.543, 1980.

R. Serfling and R. J. , Approximation Theorems of Mathematical Statistics, 1980.

A. W. Van-der-vaart, ?. ???, ?. ". ???-??-?r?t?, ?. ???????, ?. ???-??-?-?r?t? et al., Asymptotic Statistics){\\rput(0.1,0){strata 2}}, of Cambridge Series in Statistical and Probabilistic Mathematics ??? ? ? ? s t ? ? ? ? ? ? r??? ? s t ? s??????"orangeensai" ?????"black" ? ????"bleuensai1" ? s??t?, 1998.

?. ???, ?. ???-?-??????????????-?-?t?-?-?-????r, ?. ?. , ?. , ?. et al., deb" ?"axes" ?"courbe" ?"texte" ?"fin"? ????st? ? ???? ?"f.tex" ? s???

Y. G. Berger, J. F. Muñoz, R. , and E. , Variance estimation of survey estimates calibrated on estimated control totals???An application to the extended regression estimator and the regression composite estimator, Computational Statistics & Data Analysis, vol.53, issue.7, pp.532596-2604, 2009.
DOI : 10.1016/j.csda.2008.12.011

D. A. Binder, On the Variances of Asymptotically Normal Estimators from Complex Surveys, International Statistical Review / Revue Internationale de Statistique, vol.51, issue.3, pp.279-292, 1983.
DOI : 10.2307/1402588

D. Bonnéry, G. Chauvet, and J. Deville, Optimum de type neyman pour l'échantillonnage équilibré sur des marges, Actes des Journées de Méthodologie Statistique, 2009.

F. J. Breidt and J. D. Opsomer, Local polynomial regression estimators in survey sampling. The Annals of Statistics, pp.1026-1053, 2000.

C. Cassel, C. Särndal, and J. H. Wretman, Foundations of Inference in Survey Sampling, 1977.

R. L. Chambers and C. J. Skinner, Analysis of Survey Data. Wiley Series in Survey Methodology, 2003.

X. Chen, A. Dempster, and J. S. Liu, Weighted finite population sampling to maximize entropy, Biometrika, vol.81, issue.3, p.457, 1994.
DOI : 10.1093/biomet/81.3.457

D. Cox, Some Sampling Problems in Technology, pp.506-527, 1969.

J. Deville, Note sur l'algorithme de chen, dempster et liu. Rapport technique, CREST-ENSAI, 2000.

J. Deville and C. Särndal, Calibration Estimators in Survey Sampling, Journal of the American Statistical Association, vol.76, issue.418, pp.376-382, 1992.
DOI : 10.1080/01621459.1990.10474969

J. Deville and Y. Tillé, Efficient balanced sampling: The cube method, Biometrika, vol.91, issue.4, pp.893-912, 2004.
DOI : 10.1093/biomet/91.4.893

J. Deville and Y. Tillé, Variance approximation under balanced sampling, Journal of Statistical Planning and Inference, vol.128, issue.2, pp.569-591, 2005.
DOI : 10.1016/j.jspi.2003.11.011

W. A. Fuller, Sampling Statistics, 2009.
DOI : 10.1002/9780470523551

G. Gong and F. J. Samaniego, Pseudo Maximum Likelihood Estimation: Theory and Applications, The Annals of Statistics, vol.9, issue.4, pp.861-869, 1981.
DOI : 10.1214/aos/1176345526

C. Gourieroux, Théorie des Sondages, Economica, 1981.

J. Hájek, Sampling from a Finite Population, Statistics: Textbooks and Monographs, vol.37, 1981.

J. Hausman and D. Wise, Stratification on endogenous variables and estimation: The Gary income maintenance experiment, pp.36-391, 1981.

L. Kish and M. Frankel, Inference from complex surveys, Journal of the Royal Statistical Society, Series B, vol.36, issue.1, pp.1-37, 1974.

B. Langholz and L. Goldstein, Conditional logistic analysis of case-control studies with complex sampling, Biostatistics, vol.2, issue.1, pp.63-84, 2001.
DOI : 10.1093/biostatistics/2.1.63

G. M. Leigh, A comparison of estimates of natural mortality from fish tagging experiments, Biometrika, vol.75, issue.2, pp.347-353, 1988.
DOI : 10.1093/biomet/75.2.347

N. Mantel, Synthetic Retrospective Studies and Related Topics, Biometrics, vol.29, issue.3, pp.479-486, 1973.
DOI : 10.2307/2529171

A. Matei and Y. Tillé, Evaluation of variance approximations and estimators in maximum entropy sampling with unequal probability and fixed sample size, Journal of Official Statistics, vol.21, issue.4, p.543, 2005.

C. Nowell and L. R. Stanley, Length-Biased Sampling in Mall Intercept Surveys, Journal of Marketing Research, vol.28, issue.4, pp.475-479, 1991.
DOI : 10.2307/3172787

D. Pfeffermann and A. M. Krieger, Maximum likelihood estimation for complex sample surveys, Survey Methodology, vol.18, issue.2, pp.225-239, 1992.

D. Pfeffermann, A. M. Krieger, R. , and Y. , Parametric distributions of complex survey data under informative probability sampling, Statistica Sinica, vol.8, issue.4, pp.1087-1114, 1998.

D. Pfeffermann, F. A. Moura, and P. L. Silva, Multi-level modelling under informative sampling, Biometrika, vol.93, issue.4, pp.943-959, 2006.
DOI : 10.1093/biomet/93.4.943
URL : http://biomet.oxfordjournals.org/cgi/content/short/93/4/943

D. Pfeffermann and M. Y. Sverchkov, Parametric and semi-parametric estimation of regression models fitted to survey data. Sankhy¯ a: The Indian Journal of Statistics, Series B, vol.61, issue.1, pp.166-186, 1999.

D. Pfeffermann and M. Y. Sverchkov, Fitting Generalized Linear Models under Informative Sampling, Analysis of survey data, Wiley Series in Survey Methodology, pp.175-195, 2003.
DOI : 10.1002/0470867205.ch12

D. Pfeffermann and M. Y. Sverchkov, Small-Area Estimation Under Informative Probability Sampling of Areas and Within the Selected Areas, Journal of the American Statistical Association, vol.102, issue.480, pp.1427-1439, 2007.
DOI : 10.1198/016214507000001094

C. Särndal, B. Swensson, and J. H. Wretman, Model Assisted Survey Sampling, 1992.
DOI : 10.1007/978-1-4612-4378-6

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

D. Shaw, On-site samples' regression, Journal of Econometrics, vol.37, issue.2, pp.211-223, 1988.
DOI : 10.1016/0304-4076(88)90003-6

C. J. Skinner, Sample models and weights, Proceedings of the Section on Survey Research Methods, pp.133-142, 1994.

J. Snyman, Practical Mathematical Optimization: an Introduction to Basic Optimization Theory and Classical and New Gradient-Based Algorithms, 2005.

P. Sullivan, F. J. Breidt, R. Ditton, B. Knuth, B. Leaman et al., Review of Recreational Fisheries Survey Methods, 2006.

Y. Tillé and A. Favre, Optimal allocation in balanced sampling, Statistics & Probability Letters, vol.74, issue.1, pp.31-37, 2005.
DOI : 10.1016/j.spl.2005.04.027

A. Tsybakov, Introduction to nonparametric estimation, 2009.
DOI : 10.1007/b13794

A. W. Van-der-vaart, Z. , ?. , I. , and R. , Asymptotic Statistics, volume 3 of Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge. LIST OF ALGORITHMS List of Figures, vol.2, 1998.