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Journal of Nonparametric Statistics Volume 7, 1997 - Issue 4
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Original Articles

On non-negative wavelet-based density estimators

Spiridon Penev The University of New South Wales, Sydney, Australia
&
Lubomir Dechevsky Technical University, Sofia, Bulgaria and The University of Montreal, Canada
Pages 365-394 | Published online: 12 Apr 2007

Citations (18)

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Lubomir Dechevsky & Brenda MacGibbon. (2009) Asymptotically minimax non–parametric function estimation with positivity constraints I. Statistics 43:5, pages 423-442.
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Articles from other publishers (17)

J. Lars Kirkby, Álvaro Leitao & Duy Nguyen. (2023) Spline local basis methods for nonparametric density estimation. Statistics Surveys 17:none.
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J. Lars Kirkby, Álvaro Leitao & Duy Nguyen. (2021) Nonparametric density estimation and bandwidth selection with B-spline bases: A novel Galerkin method. Computational Statistics & Data Analysis 159, pages 107202.
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Zhenyu Cui, Justin Lars Kirkby & Duy Nguyen. (2019) NONPARAMETRIC DENSITY ESTIMATION BY B-SPLINE DUALITY. Econometric Theory 36:2, pages 250-291.
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Esmaeil Shirazi & Yogendra P. Chaubey. (2018) Non-negative Density Estimation via Wavelet Block Thresholding for Biased Data. Journal of Statistical Theory and Practice 13:1.
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Carlos Aya-Moreno, Gery Geenens & Spiridon Penev. (2018) Shape-preserving wavelet-based multivariate density estimation. Journal of Multivariate Analysis 168, pages 30-47.
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Adrian M. Peter, Anand Rangarajan & Mark Moyou. 2017. Computational Information Geometry. Computational Information Geometry 175 215 .
Angela Montanari & Daniela G. Calò. (2013) Model-based clustering of probability density functions. Advances in Data Analysis and Classification 7:3, pages 301-319.
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SYLVAIN SARDY & PAUL TSENG. (2010) Density Estimation by Total Variation Penalized Likelihood Driven by the Sparsity ℓ1 Information Criterion. Scandinavian Journal of Statistics 37:2, pages 321-337.
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Adrian Peter, Anand Rangarajan & Jeffrey Ho. (2008) Shape L’Âne rouge: Sliding wavelets for indexing and retrieval. Shape L’Âne rouge: Sliding wavelets for indexing and retrieval.
Adrian M. Peter & Anand Rangarajan. (2008) Maximum Likelihood Wavelet Density Estimation With Applications to Image and Shape Matching. IEEE Transactions on Image Processing 17:4, pages 458-468.
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David Rios Insua & Brani Vidakovic. (2000) Wavelet-based random densities. Computational Statistics 15:2, pages 183-203.
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Brani Vidakovic. 1999. Statistical Modeling by Wavelets. Statistical Modeling by Wavelets 345 370 .
Marina Vannucci & Brani Vidakovic. (1997) Preventing the Dirac disaster: Wavelet based density estimation. Journal of the Italian Statistical Society 6:2, pages 145-159.
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A. Antoniadis. (1997) Wavelets in statistics: A review. Journal of the Italian Statistical Society 6:2, pages 97-130.
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Antonio Cosma, O. Scaillet & Rainer von Sachs. (2005) Multivariate Wavelet-based Shape Preserving Estimation for Dependent Observations. SSRN Electronic Journal.
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Justin Kirkby, Alvaro Leitao Rodriguez & Duy Nguyen. (2021) Nonparametric Density Estimation and Bandwidth Selection with B-spline bases: a Novel Galerkin Method. SSRN Electronic Journal.
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Zhenyu Cui, Justin Kirkby & Duy Nguyen. (2019) Nonparametric Density Estimation by B-spline Duality. SSRN Electronic Journal.
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