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. 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. 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

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 : 10.1080/03610926.2011.575516
URL : https://hal.archives-ouvertes.fr/hal-00535837

V. Chernozhukov, I. Fernandez-val, and A. Galichon, Improving point and interval estimators of monotone functions by rearrangement, Biometrika, vol.96, issue.3, pp.559-575, 2009.
DOI : 10.1093/biomet/asp030
URL : http://arxiv.org/pdf/0806.4730v1.pdf

F. Comte and V. Genon-catalot, Penalized projection estimator for volatility density. Scand, J. Statist, vol.33, pp.875-893, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00138770

F. Comte and V. Genon-catalot, Convolution power kernels for density estimation, Journal of Statistical Planning and Inference, vol.142, issue.7, pp.1698-1715, 2012.
DOI : 10.1016/j.jspi.2012.02.038
URL : https://hal.archives-ouvertes.fr/hal-00681309

B. Van-es, C. A. Klaassen, and K. Oudshoorn, Survival analysis under cross-sectional sampling: length bias and multiplicative censoring, Journal of Statistical Planning and Inference, vol.91, issue.2, pp.295-312, 1998.
DOI : 10.1016/S0378-3758(00)00183-X

B. Van-es, P. Spreij, and H. Van-zanten, Nonparametric volatility density estimation for discrete time models, Journal of Nonparametric Statistics, vol.18, issue.2, pp.237-251, 2005.
DOI : 10.1109/TIT.1983.1056736

F. N. Fritsch and R. E. Carlson, Monotone Piecewise Cubic Interpolation, SIAM Journal on Numerical Analysis, vol.17, issue.2, pp.238-246, 1980.
DOI : 10.1137/0717021

A. Goldenshluger and O. Lepski, Bandwidth selection in kernel density estimation: Oracle inequalities and adaptive minimax optimality, The Annals of Statistics, vol.39, issue.3, pp.1608-1632, 2011.
DOI : 10.1214/11-AOS883
URL : https://hal.archives-ouvertes.fr/hal-01265258

F. Hirsch and G. Lacombe, Elements of functional analysis, Graduate Texts in Mathematics, vol.192, 1999.
DOI : 10.1007/978-1-4612-1444-1

F. Killmann and E. Von-collani, A Note on the Convolution of the Uniform and Related Distributions and Their Use in Quality Control, Economic Quality Control, vol.16, issue.1, pp.17-41, 2001.
DOI : 10.1515/EQC.2001.17

R. M. Mnatsakanov, Hausdorff moment problem: Reconstruction of distributions, Statistics & Probability Letters, vol.78, issue.12, pp.1612-1618, 2008.
DOI : 10.1016/j.spl.2008.01.011

A. Rényi, Probability Theory. North-Holland, 1970.

A. B. Tsybakov, Introduction to nonparametric estimation. Revised and extended from the 2004 French original, 2009.

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