Wavelet pointwise estimations under multiplicative censoring
2020 ◽
Vol 18
(04)
◽
pp. 2050020
Keyword(s):
In this paper, we investigate the wavelet-based estimators of a kind of censored mixture density and discuss their pointwise asymptotic convergence rates over Hölder spaces. We first consider the linear wavelet estimator and give its upper bound. However, the linear one is nonadaptive and not applicable since it is related to the unknown space parameter. Finally, we use the hard threshold method to explore adaptive nonlinear wavelet estimator and obtain the same convergence order as the linear one up to a logarithmic penalty.
2020 ◽
Vol 490
(1)
◽
pp. 124237
Keyword(s):
2019 ◽
Vol 276
(2)
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pp. 636-657
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Keyword(s):
2003 ◽
pp. 345-356
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2006 ◽
Vol 170
(1)
◽
pp. 93-100
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2011 ◽
Vol 173
(2)
◽
pp. 1141-1183
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2005 ◽
Vol 16
(5-6)
◽
pp. 489-497
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Keyword(s):