Matches in SemOpenAlex for { <https://semopenalex.org/work/W1970792502> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W1970792502 endingPage "1543" @default.
- W1970792502 startingPage "1518" @default.
- W1970792502 abstract "We consider block thresholding wavelet-based density estimators with randomly right-censored data and investigate their asymptotic convergence rates. Unlike for the complete data case, the empirical wavelet coefficients are constructed through the Kaplan–Meier estimators of the distribution functions in the censored data case. On the basis of a result of Stute [W. Stute, The central limit theorem under random censorship, Ann. Statist. 23 (1995) 422–439] that approximates the Kaplan–Meier integrals as averages of i.i.d. random variables with a certain rate in probability, we can show that these wavelet empirical coefficients can be approximated by averages of i.i.d. random variables with a certain error rate in L2. Therefore we can show that these estimators, based on block thresholding of empirical wavelet coefficients, achieve optimal convergence rates over a large range of Besov function classes Bp,qs,s>1/p, p≥2, q≥1 and nearly optimal convergence rates when 1≤p<2. We also show that these estimators achieve optimal convergence rates over a large class of functions that involve many irregularities of a wide variety of types, including chirp and Doppler functions, and jump discontinuities. Therefore, in the presence of random censoring, wavelet estimators still provide extensive adaptivity to many irregularities of large function classes. The performance of the estimators is tested via a modest simulation study." @default.
- W1970792502 created "2016-06-24" @default.
- W1970792502 creator A5022044383 @default.
- W1970792502 date "2008-09-01" @default.
- W1970792502 modified "2023-09-27" @default.
- W1970792502 title "On the block thresholding wavelet estimators with censored data" @default.
- W1970792502 cites W126937200 @default.
- W1970792502 cites W1502400145 @default.
- W1970792502 cites W1550590157 @default.
- W1970792502 cites W162854683 @default.
- W1970792502 cites W190125964 @default.
- W1970792502 cites W2019820290 @default.
- W1970792502 cites W2021589053 @default.
- W1970792502 cites W2026877776 @default.
- W1970792502 cites W2033484654 @default.
- W1970792502 cites W2042024619 @default.
- W1970792502 cites W2042398524 @default.
- W1970792502 cites W2045069803 @default.
- W1970792502 cites W2046031028 @default.
- W1970792502 cites W2049540068 @default.
- W1970792502 cites W2058802729 @default.
- W1970792502 cites W2062024414 @default.
- W1970792502 cites W2079724595 @default.
- W1970792502 cites W2081561245 @default.
- W1970792502 cites W2143304716 @default.
- W1970792502 cites W2158940042 @default.
- W1970792502 cites W2159059332 @default.
- W1970792502 cites W574370508 @default.
- W1970792502 doi "https://doi.org/10.1016/j.jmva.2008.01.001" @default.
- W1970792502 hasPublicationYear "2008" @default.
- W1970792502 type Work @default.
- W1970792502 sameAs 1970792502 @default.
- W1970792502 citedByCount "12" @default.
- W1970792502 countsByYear W19707925022012 @default.
- W1970792502 countsByYear W19707925022013 @default.
- W1970792502 countsByYear W19707925022014 @default.
- W1970792502 countsByYear W19707925022015 @default.
- W1970792502 countsByYear W19707925022017 @default.
- W1970792502 countsByYear W19707925022018 @default.
- W1970792502 crossrefType "journal-article" @default.
- W1970792502 hasAuthorship W1970792502A5022044383 @default.
- W1970792502 hasConcept C105795698 @default.
- W1970792502 hasConcept C127162648 @default.
- W1970792502 hasConcept C137668524 @default.
- W1970792502 hasConcept C154945302 @default.
- W1970792502 hasConcept C185429906 @default.
- W1970792502 hasConcept C28826006 @default.
- W1970792502 hasConcept C31258907 @default.
- W1970792502 hasConcept C33923547 @default.
- W1970792502 hasConcept C41008148 @default.
- W1970792502 hasConcept C47432892 @default.
- W1970792502 hasConcept C57869625 @default.
- W1970792502 hasConceptScore W1970792502C105795698 @default.
- W1970792502 hasConceptScore W1970792502C127162648 @default.
- W1970792502 hasConceptScore W1970792502C137668524 @default.
- W1970792502 hasConceptScore W1970792502C154945302 @default.
- W1970792502 hasConceptScore W1970792502C185429906 @default.
- W1970792502 hasConceptScore W1970792502C28826006 @default.
- W1970792502 hasConceptScore W1970792502C31258907 @default.
- W1970792502 hasConceptScore W1970792502C33923547 @default.
- W1970792502 hasConceptScore W1970792502C41008148 @default.
- W1970792502 hasConceptScore W1970792502C47432892 @default.
- W1970792502 hasConceptScore W1970792502C57869625 @default.
- W1970792502 hasIssue "8" @default.
- W1970792502 hasLocation W19707925021 @default.
- W1970792502 hasOpenAccess W1970792502 @default.
- W1970792502 hasPrimaryLocation W19707925021 @default.
- W1970792502 hasRelatedWork W1976873809 @default.
- W1970792502 hasRelatedWork W2025121560 @default.
- W1970792502 hasRelatedWork W2077144637 @default.
- W1970792502 hasRelatedWork W2152704622 @default.
- W1970792502 hasRelatedWork W2186615493 @default.
- W1970792502 hasRelatedWork W2359063982 @default.
- W1970792502 hasRelatedWork W2759538278 @default.
- W1970792502 hasRelatedWork W2793045402 @default.
- W1970792502 hasRelatedWork W3162498267 @default.
- W1970792502 hasRelatedWork W4301269879 @default.
- W1970792502 hasVolume "99" @default.
- W1970792502 isParatext "false" @default.
- W1970792502 isRetracted "false" @default.
- W1970792502 magId "1970792502" @default.
- W1970792502 workType "article" @default.