M. Abbaszadeh, C. Chesneau, and H. Doosti, Nonparametric estimation of density under bias and multiplicative censoring via wavelet methods, Statistics & Probability Letters, vol.82, issue.5, pp.932-941, 2012.
DOI : 10.1016/j.spl.2012.01.016

M. Abbaszadeh, C. Chesneau, and H. Doosti, Multiplicative censoring: estimation of a density and its derivatives under the Lp-risk, pp.255-276, 2013.

M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, 55 For sale by the Superintendent of Documents, U.S. Government Printing Office, 1964.

R. Askey and S. Wainger, Mean Convergence of Expansions in Laguerre and Hermite Series, American Journal of Mathematics, vol.87, issue.3, pp.695-708, 1965.
DOI : 10.2307/2373069

M. Asgharian, M. Carone, and V. Fakoor, Large-sample study of the kernel density estimators under multiplicative censoring, The Annals of Statistics, vol.40, issue.1, pp.159-187, 2012.
DOI : 10.1214/11-AOS954SUPP

K. E. Andersen and M. B. Hansen, Multiplicative censoring: density estimation by a series expansion approach, Journal of Statistical Planning and Inference, vol.98, issue.1-2, pp.137-155, 2001.
DOI : 10.1016/S0378-3758(00)00237-8

D. Belomestny, F. Comte, and V. Genon-catalot, Nonparametric Laguerre estimation in the multiplicative censoring model, Electronic Journal of Statistics, vol.10, issue.2, 2016.
DOI : 10.1214/16-EJS1203
URL : https://hal.archives-ouvertes.fr/hal-01252143

D. Belomestny, F. Comte, and V. Genon-catalot, Sobolev-Hermite versus Sobolev nonparametric density estimation on R, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01372985

B. Bongioanni and J. L. Torrea, Sobolev spaces associated to the harmonic oscillator, Proc.Indian Acad. Sci. (math. Sci.), pp.337-360, 2006.
DOI : 10.1007/BF02829750

B. Bongioanni and J. L. Torrea, What is a Sobolev space for the Laguerre function systems?, Studia Mathematica, vol.192, issue.2, pp.147-172, 2009.
DOI : 10.4064/sm192-2-4

E. Brunel, F. Comte, and V. Genon-catalot, Nonparametric density and survival function estimation in the multiplicative censoring model, TEST, vol.20, issue.3, pp.570-590, 2016.
DOI : 10.1214/aos/1176348668
URL : https://hal.archives-ouvertes.fr/hal-01122847

C. Chesneau, Wavelet Estimation of a Density in a GARCH-type Model, Communications in Statistics - Theory and Methods, vol.57, issue.11, pp.98-117, 2013.
DOI : 10.1007/BF01025869
URL : https://hal.archives-ouvertes.fr/hal-00535837

F. Comte, C. Cuenod, M. Pensky, and Y. Rozenholc, Laplace deconvolution on the basis of time domain data and its application to dynamic contrast-enhanced imaging, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.13, issue.158, pp.69-94, 2017.
DOI : 10.1145/321341.321351

F. Comte and V. Genon-catalot, Adaptive Laguerre density estimation for mixed Poisson models, Electronic Journal of Statistics, vol.9, issue.1, pp.1113-1149, 2015.
DOI : 10.1214/15-EJS1028
URL : https://hal.archives-ouvertes.fr/hal-00848158

F. Comte, Y. Rozenholc, and M. Taupin, Penalized contrast estimator for adaptive density deconvolution, Canadian Journal of Statistics, vol.18, issue.3, pp.431-452, 2006.
DOI : 10.1007/978-1-4613-8643-8
URL : https://hal.archives-ouvertes.fr/hal-00138768

S. Efromovich, Nonparametric curve estimation. Methods, theory, and applications, 1999.

S. Efromovich, Lower bound for estimation of Sobolev densities of order less, Journal of Statistical Planning and Inference, vol.139, issue.7, pp.2261-2268, 2009.
DOI : 10.1016/j.jspi.2008.10.017

B. Van-es, P. Spreij, and H. Van-zanten, Nonparametric volatility density estimation, Bernoulli, vol.9, issue.3, pp.451-465, 2003.
DOI : 10.3150/bj/1065444813

B. Van-es, G. Jongbloed, and M. Van-zuijlen, Isotonic inverse estimators for nonparametric deconvolution, The Annals of Statistics, vol.26, issue.6, pp.2395-2406, 1998.
DOI : 10.1214/aos/1024691476

M. Jirak, A. Meister, and M. Reiss, Adaptive function estimation in nonparametric regression with one-sided errors, The Annals of Statistics, vol.42, issue.5, 1970.
DOI : 10.1214/14-AOS1248SUPP

G. Jongbloed, Exponential deconvolution: two asymptotically equivalent estimators, Statistica Neerlandica, vol.52, issue.1, pp.6-17, 1998.
DOI : 10.1111/1467-9574.00065

A. Juditsky and S. Lambert-lacroix, On minimax density estimation on \mathbb{R}}, Bernoulli, vol.10, issue.2, pp.187-220, 2004.
DOI : 10.3150/bj/1082380217

T. Klein and E. Rio, Concentration around the mean for maxima of empirical processes, The Annals of Probability, vol.33, issue.3, pp.1060-1077, 2005.
DOI : 10.1214/009117905000000044

G. Mabon, Adaptive Deconvolution on the Non-negative Real Line, Scandinavian Journal of Statistics, vol.18, issue.158, pp.707-740, 2017.
DOI : 10.1214/aos/1176347627

P. Massart, Concentration inequalities and model selection. Lectures from the 33rd Summer School on Probability Theory held in Saint-Flour, Lecture Notes in Mathematics, p.1896, 2003.

P. Rigollet, Adaptive density estimation using the blockwise Stein method, Bernoulli, vol.12, issue.2, pp.351-370, 2006.
DOI : 10.3150/bj/1145993978
URL : https://hal.archives-ouvertes.fr/hal-00023473

J. Shen, Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions, SIAM Journal on Numerical Analysis, vol.38, issue.4, pp.1113-1133, 2000.
DOI : 10.1137/S0036142999362936

M. Schipper, Optimal rates and constants in L2-minimax estimation of probability density functions, Mathematical Methods of Statistics, vol.5, pp.253-274, 1996.

Y. Vardi, Multiplicative censoring, renewal processes, deconvolution and decreasing density: Nonparametric estimation, Biometrika, vol.76, issue.4, pp.751-761, 1989.
DOI : 10.1093/biomet/76.4.751

Y. Vardi and C. Zhang, Large Sample Study of Empirical Distributions in a Random-Multiplicative Censoring Model, The Annals of Statistics, vol.20, issue.2, pp.1022-1039, 1992.
DOI : 10.1214/aos/1176348668

T. Vareschi, Noisy Laplace deconvolution with error in the operator, Journal of Statistical Planning and Inference, vol.157, issue.158, pp.16-35, 2015.
DOI : 10.1016/j.jspi.2014.08.009

Z. Zhang and W. Su, A new efficient method for estimating the Gerber-Shiu function in the classical risk model, to appear in, Scandinavian Actuarial Journal, 2017.