References
- Miguel SB, Comte F, Johannes J. Spectral cut-off regularisation for density estimation under multiplicative measurement errors; 2020. Preprint arXiv:2009.10547.
- Miguel SB. Anisotropic spectral cut-off estimation under multiplicative measurement errors; 2021. Preprint arXiv:2107.02120.
- Belomestny D, Goldenshluger A. Nonparametric density estimation from observations with multiplicative measurement errors. Ann. Inst. H. Poincaré Probab. Statist. 2020;56(1):36–67.
- Vardi Y, Zhang C-H. Large sample study of empirical distributions in a random-multiplicative censoring model. Ann Statist. 1992;20(2):1022–1039.
- Vardi Y. Multiplicative censoring, renewal processes, deconvolution and decreasing density: nonparametric estimation. Biometrika. 1989;76(4):751–761.
- Van Es B, Klaassen CAJ, Oudshoorn K. Survival analysis under cross-sectional sampling: length bias and multiplicative censoring. J Stat Plan Inference. 2000;91(2):295–312.
- Asgharian M, Wolfson DB. Asymptotic behavior of the unconditional npmle of the length-biased survivor function from right censored prevalent cohort data. Ann Statist. 2005;33(5):2109–2131.
- Andersen KE, Hansen MB. Multiplicative censoring: density estimation by a series expansion approach. J Stat Plan Inference. 2001;98(1–2):137–155.
- Brunel E, Comte F, Genon-Catalot V. Nonparametric density and survival function estimation in the multiplicative censoring model. Test. 2016;25(3):570–590.
- Comte F, Dion C. Nonparametric estimation in a multiplicative censoring model with symmetric noise. J Nonparametr Stat. 2016;28(4):768–801.
- Belomestny D, Comte F, Genon-Catalot V. Nonparametric Laguerre estimation in the multiplicative censoring model. Electron J Stat. 2016;10(2):3114–3152.
- Meister A. Deconvolution problems in nonparametric statistics. Berlin, Heidelberg: Springer; 2009. (Lecture Notes in Statistics).
- Engl HW, Hanke-Bourgeois M, Neubauer A. Regularization of inverse problems. Dordrecht: Kluwer Academic Publishers; 2000.
- Comte F, Dedecker J, Taupin ML. Adaptive density estimation for general ARCH models. Econ Theory. 2008;24(6):1628–1662.
- Rio E. Inequalities and limit theorems for weakly dependent sequences. Lecture; 2013 Sep.
- Doukhan P, Massart P, Rio E. Invariance principles for absolutely regular empirical processes. Ann Inst H Poincaré Probab Statist. 1995;31(2):393–427.
- Bradley RC. Basic properties of strong mixing conditions. A survey and some open questions. Probab Surveys. 2005;2:107–144.
- Fryzlewicz P, Rao SS. Mixing properties of arch and time-varying arch processes. Bernoulli. 2011;17(1):320–346.
- Doukhan P. Mixing: properties and examples. New York (NY): Springer-Verlag; 1994. (Lecture notes in statistics; vol. 85).
- Wu WB. Nonlinear system theory: another look at dependence. Proc Natl Acad Sci USA. 2005;102(40):14150–14154.
- Borkar VS. White-noise representations in stochastic realization theory. SIAM J Control Optim. 1993;31(5):1093–1102.
- Paris RB, Kaminski D. Asymptotics and Mellin-Barnes integrals. Vol. 85. Cambridge: Cambridge University Press; 2001.
- Fan J. On the optimal rates of convergence for nonparametric deconvolution problems. Ann Statist. 1991;19(3):1257–1272.
- Gaver DP, Lewis PAW. First-order autoregressive gamma sequences and point processes. Adv Appl Probab. 1980;12(3):727–745.
- Brockwell PJ, Davis RA. Introduction to time series and forecasting. 3rd ed. Cham: Springer; 2016. (Springer texts in statistics).
- Chow YS, Teicher H. Probability theory: independence, interchangeability, martingales. 2nd ed. New York (NY): Springer-Verlag; 1988. (Springer texts in statistics).
- Hall P, Meister A. A ridge-parameter approach to deconvolution. Ann Statist. 2007;35(4):1535–1558.
- Talagrand M. New concentration inequalities in product spaces. Invent Math. 1996;126:505–563.
- Klein T, Rio E. Concentration around the mean for maxima of empirical processes. Ann Probab. 2005;33(3):1060–1077.
- Tsybakov AB. Introduction to nonparametric estimation. Heidelberg: Springer Publishing; 2008.
- Asin N, Johannes J. Adaptive nonparametric estimation in the presence of dependence. J Nonparametr Stat. 2017;29(4):694–730.
- Viennet G. Inequalities for absolutely regular sequences: application to density estimation. Probab Theory Related Fields. 1997;107(4):467–492.