%0 Journal Article
%T Estimation of a cumulative distribution function under interval censoring ''case 1'' via warped wavelets
%+ Laboratoire de Mathématiques Nicolas Oresme (LMNO)
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%A Chesneau, Christophe
%A Willer, Thomas
%< avec comité de lecture
%@ 0361-0926
%J Communications in Statistics - Theory and Methods
%I Taylor & Francis
%V 44
%N 17
%8 2015
%D 2015
%R 10.1080/03610926.2013.851231
%K Hard thresholding
%K Adaptive estimation
%K Strongly mixing
%K Interval censoring
%K Warped wavelets
%K Hard thresholding.
%Z 62G05, 62G20.
%Z Mathematics [math]/Statistics [math.ST]
%Z Statistics [stat]/Statistics Theory [stat.TH]Journal articles
%X The estimation of an unknown cumulative distribution function in the interval censoring ''case 1'' model from dependent sequences is considered. We construct a new adaptive estimator based on a warped wavelet basis and a hard thresholding rule. Under mild assumptions on the parameters of the model, considering the $\mathbb{L}_2$ risk and the weighted Besov balls, we prove that the estimator attains a sharp rate of convergence. We also investigate its practical performances thanks to simulation experiments.
%G English
%2 https://hal.science/hal-00715260v4/document
%2 https://hal.science/hal-00715260v4/file/censoringrev-fin.pdf
%L hal-00715260
%U https://hal.science/hal-00715260
%~ LATP
%~ CNRS
%~ UNIV-AMU
%~ INSMI
%~ I2M
%~ COMUE-NORMANDIE
%~ UNICAEN
%~ LMNO