Zhou, Xingcai; Shen, Hao; Ni, Beibei; Xu, Yingzhi Wavelet-\(L_1\)-estimation for non parametric location-scale models under a general dependence framework. (English) Zbl 07706245 Commun. Stat., Theory Methods 52, No. 10, 3361-3381 (2023). MSC: 62-XX PDF BibTeX XML Cite \textit{X. Zhou} et al., Commun. Stat., Theory Methods 52, No. 10, 3361--3381 (2023; Zbl 07706245) Full Text: DOI
Deng, Xin; Wu, Yi; Xi, Mengmei; Wang, Xuejun The central limit theorem for ANA sequences and its application to nonparametric regression models. (English) Zbl 07602423 J. Stat. Comput. Simulation 92, No. 14, 2891-2907 (2022). MSC: 62-XX 62F12 62G20 PDF BibTeX XML Cite \textit{X. Deng} et al., J. Stat. Comput. Simulation 92, No. 14, 2891--2907 (2022; Zbl 07602423) Full Text: DOI
Shen, Aiting; Li, Xiang; Zhang, Yajing; Qiu, Yige; Wang, Xuejun Consistency and asymptotic normality of wavelet estimator in a nonparametric regression model. (English) Zbl 1490.62102 Stochastics 93, No. 6, 868-885 (2021). MSC: 62G08 62G05 62G20 62E20 PDF BibTeX XML Cite \textit{A. Shen} et al., Stochastics 93, No. 6, 868--885 (2021; Zbl 1490.62102) Full Text: DOI
Wang, Xuejun; Wu, Yi; Wang, Rui; Hu, Shuhe On consistency of wavelet estimator in nonparametric regression models. (English) Zbl 1477.62102 Stat. Pap. 62, No. 2, 935-962 (2021). MSC: 62G08 62G05 62G20 60F15 PDF BibTeX XML Cite \textit{X. Wang} et al., Stat. Pap. 62, No. 2, 935--962 (2021; Zbl 1477.62102) Full Text: DOI
Atreas, Nikolaos Sampling and approximation in shift invariant subspaces of \(L_2(\mathbb{R})\). (English) Zbl 1479.94086 Rassias, Michael Th. (ed.), Harmonic analysis and applications. Cham: Springer. Springer Optim. Appl. 168, 1-19 (2021). MSC: 94A20 94A12 42C40 42B10 PDF BibTeX XML Cite \textit{N. Atreas}, Springer Optim. Appl. 168, 1--19 (2021; Zbl 1479.94086) Full Text: DOI
Zhou, Xingcai; Lv, Shaogao Robust wavelet-based estimation for varying coefficient dynamic models under long-dependent structures. (English) Zbl 1483.42025 Anal. Appl., Singap. 19, No. 6, 1033-1057 (2021). Reviewer: Sandra Saliani (Potenza) MSC: 42C40 62G07 62G20 68P05 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{S. Lv}, Anal. Appl., Singap. 19, No. 6, 1033--1057 (2021; Zbl 1483.42025) Full Text: DOI
Zhou, Xingcai; Zhu, Fangxia Asymptotics for \(L_1\)-wavelet method for nonparametric regression. (English) Zbl 1503.62034 J. Inequal. Appl. 2020, Paper No. 216, 11 p. (2020). MSC: 62G05 62G08 60F05 42C40 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{F. Zhu}, J. Inequal. Appl. 2020, Paper No. 216, 11 p. (2020; Zbl 1503.62034) Full Text: DOI
Zhou, Xingcai; Zhu, Fangxia Wavelet-M-estimation for time-varying coefficient time series models. (English) Zbl 1459.62065 Discrete Dyn. Nat. Soc. 2020, Article ID 1025452, 11 p. (2020). MSC: 62G08 62M10 PDF BibTeX XML Cite \textit{X. Zhou} and \textit{F. Zhu}, Discrete Dyn. Nat. Soc. 2020, Article ID 1025452, 11 p. (2020; Zbl 1459.62065) Full Text: DOI
Leitao, Álvaro; Ortiz-Gracia, Luis Model-free computation of risk contributions in credit portfolios. (English) Zbl 1461.91355 Appl. Math. Comput. 382, Article ID 125351, 21 p. (2020). MSC: 91G60 65T60 91G40 PDF BibTeX XML Cite \textit{Á. Leitao} and \textit{L. Ortiz-Gracia}, Appl. Math. Comput. 382, Article ID 125351, 21 p. (2020; Zbl 1461.91355) Full Text: DOI
Zhou, Xingcai; Ni, Beibei; Zhu, Chunhua Wavelet estimation in time-varying coefficient models. (English) Zbl 1431.62133 Lith. Math. J. 59, No. 2, 276-293 (2019). MSC: 62G05 60G07 42C40 PDF BibTeX XML Cite \textit{X. Zhou} et al., Lith. Math. J. 59, No. 2, 276--293 (2019; Zbl 1431.62133) Full Text: DOI
Ma, Yunyun; Xu, Yuesheng Computing integrals involved the Gaussian function with a small standard deviation. (English) Zbl 1415.65061 J. Sci. Comput. 78, No. 3, 1744-1767 (2019). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{Y. Ma} and \textit{Y. Xu}, J. Sci. Comput. 78, No. 3, 1744--1767 (2019; Zbl 1415.65061) Full Text: DOI arXiv
Ye, Shangyuan; Liang, Ye; Ahmad, Ibrahim A. Orthogonal series density estimation for complex surveys. (English) Zbl 1418.62047 J. Nonparametric Stat. 31, No. 2, 469-481 (2019). Reviewer: Jonas Šiaulys (Vilnius) MSC: 62D05 62G07 62G20 PDF BibTeX XML Cite \textit{S. Ye} et al., J. Nonparametric Stat. 31, No. 2, 469--481 (2019; Zbl 1418.62047) Full Text: DOI arXiv
Mansouri, Behzad Wavelet analysis of uniformly time-modulated processes. (English) Zbl 1462.62544 Commun. Stat., Theory Methods 47, No. 8, 2036-2041 (2018). MSC: 62M10 42C40 PDF BibTeX XML Cite \textit{B. Mansouri}, Commun. Stat., Theory Methods 47, No. 8, 2036--2041 (2018; Zbl 1462.62544) Full Text: DOI
Saadi, Nora; Adjabi, Smail; Gannoun, Ali The selection of the number of terms in an orthogonal series cumulative function estimator. (English) Zbl 1416.62185 Stat. Pap. 59, No. 1, 127-152 (2018). Reviewer: Pedro A. Morettin (São Paulo) MSC: 62G05 62G07 PDF BibTeX XML Cite \textit{N. Saadi} et al., Stat. Pap. 59, No. 1, 127--152 (2018; Zbl 1416.62185) Full Text: DOI
Gröchenig, Karlheinz; Romero, José Luis; Stöckler, Joachim Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions. (English) Zbl 1440.42150 Invent. Math. 211, No. 3, 1119-1148 (2018). MSC: 42C15 42C40 94A20 94A12 PDF BibTeX XML Cite \textit{K. Gröchenig} et al., Invent. Math. 211, No. 3, 1119--1148 (2018; Zbl 1440.42150) Full Text: DOI arXiv
Bouzebda, Salim; Didi, Sultana Multivariate wavelet density and regression estimators for stationary and ergodic discrete time processes: asymptotic results. (English) Zbl 1360.62155 Commun. Stat., Theory Methods 46, No. 3, 1367-1406 (2017). MSC: 62G07 62G08 62G05 62G20 62H05 60G42 60G46 PDF BibTeX XML Cite \textit{S. Bouzebda} and \textit{S. Didi}, Commun. Stat., Theory Methods 46, No. 3, 1367--1406 (2017; Zbl 1360.62155) Full Text: DOI
Bouzebda, S.; Didi, S.; El Hajj, L. Multivariate wavelet density and regression estimators for stationary and ergodic continuous time processes: asymptotic results. (English) Zbl 1332.62111 Math. Methods Stat. 24, No. 3, 163-199 (2015). MSC: 62G05 60F15 62M10 PDF BibTeX XML Cite \textit{S. Bouzebda} et al., Math. Methods Stat. 24, No. 3, 163--199 (2015; Zbl 1332.62111) Full Text: DOI
Zhou, Xing-cai; Lin, Jin-guan Asymptotics of a wavelet estimator in the nonparametric regression model with repeated measurements under a NA error process. (English) Zbl 1309.62078 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 1, 153-168 (2015). MSC: 62G08 PDF BibTeX XML Cite \textit{X.-c. Zhou} and \textit{J.-g. Lin}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 1, 153--168 (2015; Zbl 1309.62078) Full Text: DOI
Li, Linyuan; Yao, Shan; Duchesne, Pierre On wavelet-based testing for serial correlation of unknown form using Fan’s adaptive Neyman method. (English) Zbl 1471.62115 Comput. Stat. Data Anal. 70, 308-327 (2014). MSC: 62-08 62M10 62G07 62M15 PDF BibTeX XML Cite \textit{L. Li} et al., Comput. Stat. Data Anal. 70, 308--327 (2014; Zbl 1471.62115) Full Text: DOI
Zhou, Xing-Cai; Lin, Jin-Guan Wavelet estimator in nonparametric regression model with dependent error’s structure. (English) Zbl 1342.60041 Commun. Stat., Theory Methods 43, No. 22, 4707-4722 (2014). MSC: 60F15 62G08 62G20 60G07 42C40 PDF BibTeX XML Cite \textit{X.-C. Zhou} and \textit{J.-G. Lin}, Commun. Stat., Theory Methods 43, No. 22, 4707--4722 (2014; Zbl 1342.60041) Full Text: DOI
Zhang, Zhihua; Jorgensen, Palle E. T. Geometric structures of frequency domains of band-limited scaling functions and wavelets. (English) Zbl 1317.42036 Acta Appl. Math. 131, No. 1, 141-154 (2014). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 42C40 65T60 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 131, No. 1, 141--154 (2014; Zbl 1317.42036) Full Text: DOI
Ishitani, Kensuke A fast wavelet expansion technique for evaluation of portfolio credit risk under the Vasicek multi-factor model. (English) Zbl 1298.91187 Japan J. Ind. Appl. Math. 31, No. 1, 1-24 (2014). Reviewer: Pedro A. Morettin (São Paulo) MSC: 91G60 91G40 91G10 60E10 65T60 PDF BibTeX XML Cite \textit{K. Ishitani}, Japan J. Ind. Appl. Math. 31, No. 1, 1--24 (2014; Zbl 1298.91187) Full Text: DOI
Zhou, Xing-cai; Lin, Jin-guan Asymptotic properties of wavelet estimators in semiparametric regression models under dependent errors. (English) Zbl 1280.62051 J. Multivariate Anal. 122, 251-270 (2013). MSC: 62G08 62H12 62E20 PDF BibTeX XML Cite \textit{X.-c. Zhou} and \textit{J.-g. Lin}, J. Multivariate Anal. 122, 251--270 (2013; Zbl 1280.62051) Full Text: DOI
Ishitani, Kensuke; Sato, Kenichi An analytical evaluation method of the operational risk using fast wavelet expansion techniques. (English) Zbl 1273.91458 Asia-Pac. Financ. Mark. 20, No. 3, 283-309 (2013). MSC: 91G60 91G50 PDF BibTeX XML Cite \textit{K. Ishitani} and \textit{K. Sato}, Asia-Pac. Financ. Mark. 20, No. 3, 283--309 (2013; Zbl 1273.91458) Full Text: DOI
Niu, Sili; Liu, Yamei CLT of wavelet estimator in semiparametric model with correlated errors. (English) Zbl 1255.93139 J. Syst. Sci. Complex. 25, No. 3, 567-581 (2012). MSC: 93E10 65T60 93C55 PDF BibTeX XML Cite \textit{S. Niu} and \textit{Y. Liu}, J. Syst. Sci. Complex. 25, No. 3, 567--581 (2012; Zbl 1255.93139) Full Text: DOI
Krajník, Eduard; Montesinos, Vincente; Zizler, Peter; Zizler, Václav Solving singular convolution equations using the inverse fast Fourier transform. (English) Zbl 1265.42020 Appl. Math., Praha 57, No. 5, 543-550 (2012). Reviewer: Karel Segeth (Praha) MSC: 42A85 65R10 PDF BibTeX XML Cite \textit{E. Krajník} et al., Appl. Math., Praha 57, No. 5, 543--550 (2012; Zbl 1265.42020) Full Text: DOI Link
Niu, Si-li Asymptotic normality of wavelet density estimator under censored dependent observations. (English) Zbl 1252.62040 Acta Math. Appl. Sin., Engl. Ser. 28, No. 4, 781-794 (2012). MSC: 62G07 62N01 62G20 65C60 PDF BibTeX XML Cite \textit{S.-l. Niu}, Acta Math. Appl. Sin., Engl. Ser. 28, No. 4, 781--794 (2012; Zbl 1252.62040) Full Text: DOI
Zhou, Xing-Cai; Lin, Jin-Guan A wavelet estimator in a nonparametric regression model with repeated measurements under martingale difference error’s structure. (English) Zbl 1312.62053 Stat. Probab. Lett. 82, No. 11, 1914-1922 (2012). MSC: 62G08 62G20 60G42 PDF BibTeX XML Cite \textit{X.-C. Zhou} and \textit{J.-G. Lin}, Stat. Probab. Lett. 82, No. 11, 1914--1922 (2012; Zbl 1312.62053) Full Text: DOI
Chesneau, Christophe On adaptive wavelet estimation of a quadratic functional from a deconvolution problem. (English) Zbl 1432.62070 Ann. Inst. Stat. Math. 63, No. 2, 405-429 (2011). MSC: 62G05 42C40 46N30 PDF BibTeX XML Cite \textit{C. Chesneau}, Ann. Inst. Stat. Math. 63, No. 2, 405--429 (2011; Zbl 1432.62070) Full Text: DOI
Atreas, Nikolaos D. Perturbed sampling formulas and local reconstruction in shift invariant spaces. (English) Zbl 1213.42102 J. Math. Anal. Appl. 377, No. 2, 841-852 (2011). Reviewer: Joseph Lakey (Las Cruces) MSC: 42C15 94A20 PDF BibTeX XML Cite \textit{N. D. Atreas}, J. Math. Anal. Appl. 377, No. 2, 841--852 (2011; Zbl 1213.42102) Full Text: DOI
Domínguez-Jiménez, María Elena; Ferreira, Paulo J. S. G. Some extremal properties of Daubechies filters and other orthonormal filters. (English) Zbl 1203.94027 Signal Process. 91, No. 1, 85-89 (2011). MSC: 94A12 PDF BibTeX XML Cite \textit{M. E. Domínguez-Jiménez} and \textit{P. J. S. G. Ferreira}, Signal Process. 91, No. 1, 85--89 (2011; Zbl 1203.94027) Full Text: DOI
Duchesne, Pierre; Li, Linyuan; Vandermeerschen, Jill On testing for serial correlation of unknown form using wavelet thresholding. (English) Zbl 1284.62513 Comput. Stat. Data Anal. 54, No. 11, 2512-2531 (2010). MSC: 62M02 62-07 PDF BibTeX XML Cite \textit{P. Duchesne} et al., Comput. Stat. Data Anal. 54, No. 11, 2512--2531 (2010; Zbl 1284.62513) Full Text: DOI
Menezes, Raquel; García-Soidán, Pilar; Ferreira, Célia Nonparametric spatial prediction under stochastic sampling design. (English) Zbl 1189.62155 J. Nonparametric Stat. 22, No. 3, 363-377 (2010). MSC: 62M20 62G05 62M30 65C60 86A32 PDF BibTeX XML Cite \textit{R. Menezes} et al., J. Nonparametric Stat. 22, No. 3, 363--377 (2010; Zbl 1189.62155) Full Text: DOI Link
Ramírez, Pepa; Vidakovic, Brani Wavelet density estimation for stratified size-biased sample. (English) Zbl 1177.62046 J. Stat. Plann. Inference 140, No. 2, 419-432 (2010). MSC: 62G07 42C40 65C60 PDF BibTeX XML Cite \textit{P. Ramírez} and \textit{B. Vidakovic}, J. Stat. Plann. Inference 140, No. 2, 419--432 (2010; Zbl 1177.62046) Full Text: DOI
Li, Yongming; Guo, Jianhua Asymptotic normality of wavelet estimator for strong mixing errors. (English) Zbl 1293.62076 J. Korean Stat. Soc. 38, No. 4, 383-390 (2009). MSC: 62G05 62E20 PDF BibTeX XML Cite \textit{Y. Li} and \textit{J. Guo}, J. Korean Stat. Soc. 38, No. 4, 383--390 (2009; Zbl 1293.62076) Full Text: DOI
Ingster, Yu. I.; Sapatinas, T. Minimax goodness-of-fit testing in multivariate nonparametric regression. (English) Zbl 1282.62100 Math. Methods Stat. 18, No. 3, 241-269 (2009). MSC: 62G08 62G10 62G20 PDF BibTeX XML Cite \textit{Yu. I. Ingster} and \textit{T. Sapatinas}, Math. Methods Stat. 18, No. 3, 241--269 (2009; Zbl 1282.62100) Full Text: DOI arXiv
Bosch, E. H.; González, A. P.; Vivas, J. G.; Easley, G. R. Directional wavelets and a wavelet variogram for two-dimensional data. (English) Zbl 1174.42041 Math. Geosci. 41, No. 6, 611-641 (2009). MSC: 42C40 PDF BibTeX XML Cite \textit{E. H. Bosch} et al., Math. Geosci. 41, No. 6, 611--641 (2009; Zbl 1174.42041) Full Text: DOI
Rakić, Dušan Multiresolution expansion in \(\mathcal D^\prime_{L^q}(\mathbb R^n)\). (English) Zbl 1166.42008 Integral Transforms Spec. Funct. 20, No. 3-4, 231-238 (2009). Reviewer: Boris Rubin (Baton Rouge) MSC: 42B20 44A15 46F12 PDF BibTeX XML Cite \textit{D. Rakić}, Integral Transforms Spec. Funct. 20, No. 3--4, 231--238 (2009; Zbl 1166.42008) Full Text: DOI
van Zanten, Harry; Zareba, Pawel A note on wavelet density deconvolution for weakly dependent data. (English) Zbl 1204.62051 Stat. Inference Stoch. Process. 11, No. 2, 207-219 (2008). MSC: 62G05 42C40 62G20 62P05 PDF BibTeX XML Cite \textit{H. van Zanten} and \textit{P. Zareba}, Stat. Inference Stoch. Process. 11, No. 2, 207--219 (2008; Zbl 1204.62051) Full Text: DOI
Pathak, R. S.; Pandey, Gireesh; Ashino, Ryuichi Multiwavelets in the generalized Sobolev space \(H^{\omega}_W(\mathbb R^n)\). (English) Zbl 1155.42310 Comput. Math. Appl. 55, No. 3, 423-440 (2008). MSC: 42C40 42B35 46E35 65T60 PDF BibTeX XML Cite \textit{R. S. Pathak} et al., Comput. Math. Appl. 55, No. 3, 423--440 (2008; Zbl 1155.42310) Full Text: DOI
Apanasovich, Tatiyana V.; Goldstein, Edward On prediction error in functional linear regression. (English) Zbl 1147.62327 Stat. Probab. Lett. 78, No. 13, 1807-1810 (2008). MSC: 62G08 62G20 PDF BibTeX XML Cite \textit{T. V. Apanasovich} and \textit{E. Goldstein}, Stat. Probab. Lett. 78, No. 13, 1807--1810 (2008; Zbl 1147.62327) Full Text: DOI
Pilipović, S.; Teofanov, N. Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions. (English) Zbl 1122.46020 J. Math. Anal. Appl. 331, No. 1, 455-471 (2007). Reviewer: Bogoljub Stanković (Novi Sad) MSC: 46F05 42C99 PDF BibTeX XML Cite \textit{S. Pilipović} and \textit{N. Teofanov}, J. Math. Anal. Appl. 331, No. 1, 455--471 (2007; Zbl 1122.46020) Full Text: DOI
Zhang, Zhihua Supports of Fourier transforms of scaling functions. (English) Zbl 1203.42008 Appl. Comput. Harmon. Anal. 22, No. 2, 141-156 (2007). MSC: 42A38 42B10 42C15 PDF BibTeX XML Cite \textit{Z. Zhang}, Appl. Comput. Harmon. Anal. 22, No. 2, 141--156 (2007; Zbl 1203.42008) Full Text: DOI
Landolsi, Taha Accuracy of the split-step wavelet method using various wavelet families in simulating optical pulse propagation. (English) Zbl 1178.78016 J. Franklin Inst. 343, No. 4-5, 458-467 (2006). MSC: 78M25 65T60 PDF BibTeX XML Cite \textit{T. Landolsi}, J. Franklin Inst. 343, No. 4--5, 458--467 (2006; Zbl 1178.78016) Full Text: DOI
You, Jinhong; Zhou, Xian Statistical inference in a panel data semiparametric regression model with serially correlated errors. (English) Zbl 1085.62044 J. Multivariate Anal. 97, No. 4, 844-873 (2006). MSC: 62G08 62G20 62M10 62F12 PDF BibTeX XML Cite \textit{J. You} and \textit{X. Zhou}, J. Multivariate Anal. 97, No. 4, 844--873 (2006; Zbl 1085.62044) Full Text: DOI
Atreas, Nikolaos D.; Karanikas, C. Discrete sampling formulas on spaces of \(p^{M}\)-periodic sequences for computational applications on edge detection. (English) Zbl 1077.94009 Numer. Funct. Anal. Optimization 26, No. 3, 285-301 (2005). Reviewer: Youming Liu (Beijing) MSC: 94A20 65T60 68T10 42C15 PDF BibTeX XML Cite \textit{N. D. Atreas} and \textit{C. Karanikas}, Numer. Funct. Anal. Optim. 26, No. 3, 285--301 (2005; Zbl 1077.94009) Full Text: DOI
Pathak, R. S. Wavelets in a generalized Sobolev space. (English) Zbl 1072.42030 Comput. Math. Appl. 49, No. 5-6, 823-839 (2005). MSC: 42C40 46E35 PDF BibTeX XML Cite \textit{R. S. Pathak}, Comput. Math. Appl. 49, No. 5--6, 823--839 (2005; Zbl 1072.42030) Full Text: DOI
He, Tian-Xiao Biorthogonal spline type wavelets. (English) Zbl 1065.42026 Comput. Math. Appl. 48, No. 9, 1319-1334 (2004). MSC: 42C40 41A15 PDF BibTeX XML Cite \textit{T.-X. He}, Comput. Math. Appl. 48, No. 9, 1319--1334 (2004; Zbl 1065.42026) Full Text: DOI
Yang, Shouyuan Local error estimation for sampling problems. (English) Zbl 1069.65153 Appl. Math. Comput. 158, No. 2, 561-572 (2004). Reviewer: Chengshu Wang (Denver) MSC: 65T60 42C40 PDF BibTeX XML Cite \textit{S. Yang}, Appl. Math. Comput. 158, No. 2, 561--572 (2004; Zbl 1069.65153) Full Text: DOI
Ghorai, J. K.; Yu, Dong Data-based resolution selection in positive wavelet density estimation. (English) Zbl 1217.62049 Commun. Stat., Theory Methods 33, No. 10, 2393-2408 (2004). MSC: 62G07 42C40 65C60 62G20 PDF BibTeX XML Cite \textit{J. K. Ghorai} and \textit{D. Yu}, Commun. Stat., Theory Methods 33, No. 10, 2393--2408 (2004; Zbl 1217.62049) Full Text: DOI
Lee, Sungho; Taylor, Robert Lee On an \(L_1\) consistent wavelet density estimator for the deconvolution problem. (English) Zbl 1213.62065 Commun. Stat., Theory Methods 33, No. 8, 1917-1929 (2004). MSC: 62G07 42C40 62G20 PDF BibTeX XML Cite \textit{S. Lee} and \textit{R. L. Taylor}, Commun. Stat., Theory Methods 33, No. 8, 1917--1929 (2004; Zbl 1213.62065) Full Text: DOI
Le Maître, O. P.; Najm, H. N.; Ghanem, R. G.; Knio, O. M. Multi-resolution analysis of Wiener-type uncertainty propagation schemes. (English) Zbl 1056.65006 J. Comput. Phys. 197, No. 2, 502-531 (2004). MSC: 65C30 60H15 60H35 65T60 65C05 PDF BibTeX XML Cite \textit{O. P. Le Maître} et al., J. Comput. Phys. 197, No. 2, 502--531 (2004; Zbl 1056.65006) Full Text: DOI
Le Maître, O. P.; Knio, O. M.; Najm, H. N.; Ghanem, R. G. Uncertainty propagation using Wiener-Haar expansions. (English) Zbl 1052.65114 J. Comput. Phys. 197, No. 1, 28-57 (2004). MSC: 65P20 65T60 37C75 37D45 65P40 37M25 PDF BibTeX XML Cite \textit{O. P. Le Maître} et al., J. Comput. Phys. 197, No. 1, 28--57 (2004; Zbl 1052.65114) Full Text: DOI
Ghorai, J. K. A central limit theorem for the \(L_2\) error of positive wavelet density estimator. (English) Zbl 1049.62016 Ann. Inst. Stat. Math. 55, No. 3, 619-637 (2003). MSC: 62E20 60F05 62G07 PDF BibTeX XML Cite \textit{J. K. Ghorai}, Ann. Inst. Stat. Math. 55, No. 3, 619--637 (2003; Zbl 1049.62016) Full Text: DOI
Shim, Hong-Tae; Kwon, Joongsung Convergence rate of hybrid sampling series associated with wavelets. (English) Zbl 1036.42038 J. Appl. Math. Comput. 14, No. 1-2, 267-275 (2003). MSC: 42C40 46E35 PDF BibTeX XML Cite \textit{H.-T. Shim} and \textit{J. Kwon}, J. Appl. Math. Comput. 14, No. 1--2, 267--275 (2003; Zbl 1036.42038) Full Text: DOI
Behera, Biswaranjan; Madan, Shobha Wavelet subspaces invariant under groups of translation operators. (English) Zbl 1034.42033 Proc. Indian Acad. Sci., Math. Sci. 113, No. 2, 171-178 (2003). MSC: 42C40 PDF BibTeX XML Cite \textit{B. Behera} and \textit{S. Madan}, Proc. Indian Acad. Sci., Math. Sci. 113, No. 2, 171--178 (2003; Zbl 1034.42033) Full Text: DOI arXiv
Angelini, Claudia; De Canditiis, Daniela; Leblanc, Frédérique Wavelet regression estimation in nonparametric mixed effect models. (English) Zbl 1016.62034 J. Multivariate Anal. 85, No. 2, 267-291 (2003). MSC: 62G08 62J07 62G20 42C40 PDF BibTeX XML Cite \textit{C. Angelini} et al., J. Multivariate Anal. 85, No. 2, 267--291 (2003; Zbl 1016.62034) Full Text: DOI
He, T.-X.; Zhang, R.; Zhou, Y. S. Boundary-type quadrature and boundary element method. (English) Zbl 1021.65060 J. Comput. Appl. Math. 155, No. 1, 19-41 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 35J05 PDF BibTeX XML Cite \textit{T. X. He} et al., J. Comput. Appl. Math. 155, No. 1, 19--41 (2003; Zbl 1021.65060) Full Text: DOI
Lee, Sungho; Hong, Dug Hun On a strongly consistent wavelet density estimator for the deconvolution problem. (English) Zbl 1075.62541 Commun. Stat., Theory Methods 31, No. 8, 1259-1272 (2002). MSC: 62G07 42C40 PDF BibTeX XML Cite \textit{S. Lee} and \textit{D. H. Hong}, Commun. Stat., Theory Methods 31, No. 8, 1259--1272 (2002; Zbl 1075.62541) Full Text: DOI
Atreas, Nikolaos D. New bounds for truncation-type errors on regular sampling expansions. (English) Zbl 1034.42028 Numer. Funct. Anal. Optimization 23, No. 7-8, 695-704 (2002). Reviewer: Manfred Tasche (Rostock) MSC: 42C15 42C40 41A80 65T60 94A20 PDF BibTeX XML Cite \textit{N. D. Atreas}, Numer. Funct. Anal. Optim. 23, No. 7--8, 695--704 (2002; Zbl 1034.42028) Full Text: DOI
Abdous, Belkacem; Germain, Stéphane; Ghazzali, Nadia A unified treatment of direct and indirect estimation of a probability density and its derivatives. (English) Zbl 0994.62025 Stat. Probab. Lett. 56, No. 3, 239-250 (2002). MSC: 62G07 PDF BibTeX XML Cite \textit{B. Abdous} et al., Stat. Probab. Lett. 56, No. 3, 239--250 (2002; Zbl 0994.62025) Full Text: DOI
Walter, Gilbert G.; Shen, Xiaoping A. Positive sampling in wavelet subspaces. (English) Zbl 1003.42020 Appl. Comput. Harmon. Anal. 12, No. 1, 150-165 (2002). Reviewer: Wenchang Sun (Tianjin) MSC: 42C40 94C10 PDF BibTeX XML Cite \textit{G. G. Walter} and \textit{X. A. Shen}, Appl. Comput. Harmon. Anal. 12, No. 1, 150--165 (2002; Zbl 1003.42020) Full Text: DOI Link
Stengos, Thanasis; Sun, Yiguo A consistent model specification test for a regression function based on nonparametric wavelet estimation. (English) Zbl 1035.62034 Econom. Rev. 20, No. 1, 41-60 (2001). MSC: 62G08 62G10 42C40 PDF BibTeX XML Cite \textit{T. Stengos} and \textit{Y. Sun}, Econom. Rev. 20, No. 1, 41--60 (2001; Zbl 1035.62034) Full Text: DOI
Antoniadis, Anestis; Fan, Jianqing; Gijbels, Irène A wavelet method for unfolding sphere size distributions. (English) Zbl 0974.62029 Can. J. Stat. 29, No. 2, 251-268 (2001). MSC: 62G07 65C05 42C40 65C60 PDF BibTeX XML Cite \textit{A. Antoniadis} et al., Can. J. Stat. 29, No. 2, 251--268 (2001; Zbl 0974.62029) Full Text: DOI
Shen, Xiaoping A Galerkin-wavelet method for a singular convolution equation on the real line. (English) Zbl 0986.65138 J. Integral Equations Appl. 12, No. 2, 157-176 (2000). Reviewer: Hermann Brunner (St.John’s) MSC: 65R20 65T60 65R30 45E10 PDF BibTeX XML Cite \textit{X. Shen}, J. Integral Equations Appl. 12, No. 2, 157--176 (2000; Zbl 0986.65138) Full Text: DOI Link
Pensky, Marianna Adaptive wavelet empirical Bayes estimation of a location or a scale parameter. (English) Zbl 0958.62006 J. Stat. Plann. Inference 90, No. 2, 275-292 (2000). MSC: 62C12 62F35 60G20 PDF BibTeX XML Cite \textit{M. Pensky}, J. Stat. Plann. Inference 90, No. 2, 275--292 (2000; Zbl 0958.62006) Full Text: DOI
Strichartz, Robert S. Gibbs’ phenomenon and arclength. (English) Zbl 0967.42002 J. Fourier Anal. Appl. 6, No. 5, 533-536 (2000). Reviewer: Ferenc Móricz (Szeged) MSC: 42A16 42C20 42A24 42C40 PDF BibTeX XML Cite \textit{R. S. Strichartz}, J. Fourier Anal. Appl. 6, No. 5, 533--536 (2000; Zbl 0967.42002) Full Text: DOI EuDML
Walter, Gilbert G.; Shen, Xiaoping Deconvolution using Meyer wavelets. (English) Zbl 0978.65122 J. Integral Equations Appl. 11, No. 4, 515-534 (1999). Reviewer: Manfred Tasche (Rostock) MSC: 65R20 45E10 65T60 PDF BibTeX XML Cite \textit{G. G. Walter} and \textit{X. Shen}, J. Integral Equations Appl. 11, No. 4, 515--534 (1999; Zbl 0978.65122) Full Text: DOI Link
Pensky, Marianna; Vidakovic, Brani Adaptive wavelet estimator for nonparametric density deconvolution. (English) Zbl 0962.62030 Ann. Stat. 27, No. 6, 2033-2053 (1999). MSC: 62G07 62G05 62G20 42C40 PDF BibTeX XML Cite \textit{M. Pensky} and \textit{B. Vidakovic}, Ann. Stat. 27, No. 6, 2033--2053 (1999; Zbl 0962.62030) Full Text: DOI
Atreas, N.; Karanikas, C. Gibbs phenomenon on sampling series based on Shannon’s and Meyer’s wavelet analysis. (English) Zbl 0948.42025 J. Fourier Anal. Appl. 5, No. 6, 575-588 (1999). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 94C10 94A12 PDF BibTeX XML Cite \textit{N. Atreas} and \textit{C. Karanikas}, J. Fourier Anal. Appl. 5, No. 6, 575--588 (1999; Zbl 0948.42025) Full Text: DOI EuDML
Hasiewicz, Zygmunt Hammerstein system identification by the Haar multiresolution approximation. (English) Zbl 0953.93021 Int. J. Adapt. Control Signal Process. 13, No. 8, 691-717 (1999). Reviewer: Valeriy N.Tkachenko (Donetsk) MSC: 93B30 93C10 65T60 PDF BibTeX XML Cite \textit{Z. Hasiewicz}, Int. J. Adapt. Control Signal Process. 13, No. 8, 691--717 (1999; Zbl 0953.93021) Full Text: DOI
Antoniou, I.; Sadovnichii, V. A.; Shkarin, S. A. New extended spectral decompositions of the Renyi map. (English) Zbl 0935.37010 Phys. Lett., A 258, No. 4-6, 237-243 (1999). MSC: 37D50 37A30 37E05 47A10 37A05 PDF BibTeX XML Cite \textit{I. Antoniou} et al., Phys. Lett., A 258, No. 4--6, 237--243 (1999; Zbl 0935.37010) Full Text: DOI
Walter, Gilbert G. Density estimation in the presence of noise. (English) Zbl 0931.62033 Stat. Probab. Lett. 41, No. 3, 237-246 (1999). MSC: 62G07 60F05 PDF BibTeX XML Cite \textit{G. G. Walter}, Stat. Probab. Lett. 41, No. 3, 237--246 (1999; Zbl 0931.62033) Full Text: DOI
Chandrawansa, Kumari; van Rooij, Arnoud C. M.; Ruymgaart, Frits H. Speed of convergence in the Hausdorff metric for estimators of irregular mixing densities. (English) Zbl 0978.62041 J. Nonparametric Stat. 10, No. 4, 375-387 (1999). MSC: 62G20 62G07 PDF BibTeX XML Cite \textit{K. Chandrawansa} et al., J. Nonparametric Stat. 10, No. 4, 375--387 (1999; Zbl 0978.62041) Full Text: DOI
Vidakovic, Brani; Ruggeri, Fabrizio Expansion estimation by Bayes rules. (English) Zbl 0933.62020 J. Stat. Plann. Inference 79, No. 2, 223-235 (1999). MSC: 62F15 62G99 PDF BibTeX XML Cite \textit{B. Vidakovic} and \textit{F. Ruggeri}, J. Stat. Plann. Inference 79, No. 2, 223--235 (1999; Zbl 0933.62020) Full Text: DOI
Zhang, Shuanglin; Zheng, Zhongguo On the asymptotic normality for \(L_2\)-error of wavelet density estimator with application. (English) Zbl 0920.62063 Commun. Stat., Theory Methods 28, No. 5, 1093-1104 (1999). MSC: 62G20 62G07 62G10 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{Z. Zheng}, Commun. Stat., Theory Methods 28, No. 5, 1093--1104 (1999; Zbl 0920.62063) Full Text: DOI
Pilipović, S.; Takači, A.; Teofanov, N. Wavelets and quasiasymptotics at a point. (English) Zbl 0928.42021 J. Approximation Theory 97, No. 1, 40-52 (1999). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 PDF BibTeX XML Cite \textit{S. Pilipović} et al., J. Approx. Theory 97, No. 1, 40--52 (1999; Zbl 0928.42021) Full Text: DOI
Donoho, David L.; Johnstone, Iain M. Minimax estimation via wavelet shrinkage. (English) Zbl 0935.62041 Ann. Stat. 26, No. 3, 879-921 (1998). MSC: 62G07 62C20 42C40 41A30 PDF BibTeX XML Cite \textit{D. L. Donoho} and \textit{I. M. Johnstone}, Ann. Stat. 26, No. 3, 879--921 (1998; Zbl 0935.62041) Full Text: DOI
Zayed, Ahmed I. Fractional Fourier transform of generalized functions. (English) Zbl 0941.46021 Integral Transforms Spec. Funct. 7, No. 3-4, 299-312 (1998). Reviewer: Yuri Luchko (Berlin) MSC: 46F12 44A35 44A40 44A15 PDF BibTeX XML Cite \textit{A. I. Zayed}, Integral Transforms Spec. Funct. 7, No. 3--4, 299--312 (1998; Zbl 0941.46021) Full Text: DOI
Karanikas, C. Gibbs phenomenon in wavelet analysis. (English) Zbl 0928.42026 Result. Math. 34, No. 3-4, 330-341 (1998). MSC: 42C40 94A12 PDF BibTeX XML Cite \textit{C. Karanikas}, Result. Math. 34, No. 3--4, 330--341 (1998; Zbl 0928.42026) Full Text: DOI
García, Antonio G.; Moro, Julio; Hernández-Medina, Miguel Ángel On the distributional Fourier duality and its applications. (English) Zbl 0917.42028 J. Math. Anal. Appl. 227, No. 1, 43-54 (1998). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C15 30D15 33C45 42A38 46F05 PDF BibTeX XML Cite \textit{A. G. García} et al., J. Math. Anal. Appl. 227, No. 1, 43--54 (1998; Zbl 0917.42028) Full Text: DOI
Walter, Gilbert G.; Shim, Hong-Tae Gibbs’ phenomenon for sampling series and what to do about it. (English) Zbl 0928.42024 J. Fourier Anal. Appl. 4, No. 3, 357-375 (1998). MSC: 42C40 94A12 PDF BibTeX XML Cite \textit{G. G. Walter} and \textit{H.-T. Shim}, J. Fourier Anal. Appl. 4, No. 3, 357--375 (1998; Zbl 0928.42024) Full Text: DOI EuDML
He, Tian Xiao Short time Fourier transform, integral wavelet transform, and wavelet functions associated with splines. (English) Zbl 0911.42015 J. Math. Anal. Appl. 224, No. 2, 182-200 (1998). Reviewer: A.Bultheel (Leuven) MSC: 42C40 41A15 41A30 PDF BibTeX XML Cite \textit{T. X. He}, J. Math. Anal. Appl. 224, No. 2, 182--200 (1998; Zbl 0911.42015) Full Text: DOI
Pinheiro, Aluisio; Vidakovic, Brani Estimating the square root of a density via compactly supported wavelets. (English) Zbl 0900.62202 Comput. Stat. Data Anal. 25, No. 4, 399-415 (1997). MSC: 62G07 65C99 85A35 PDF BibTeX XML Cite \textit{A. Pinheiro} and \textit{B. Vidakovic}, Comput. Stat. Data Anal. 25, No. 4, 399--415 (1997; Zbl 0900.62202) Full Text: DOI
Liu, Youming On cardinal wavelets with compact support and their duals. (English) Zbl 0901.42024 Acta Math. Sin., New Ser. 13, No. 1, 127-132 (1997). MSC: 42C40 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Sin., New Ser. 13, No. 1, 127--132 (1997; Zbl 0901.42024) Full Text: DOI
Bastin, F.; Laubin, P. Regular compactly supported wavelets in Sobolev spaces. (English) Zbl 0883.42026 Duke Math. J. 87, No. 3, 481-508 (1997). Reviewer: Khalifa Trimèche (Tunis) MSC: 42C40 46E35 PDF BibTeX XML Cite \textit{F. Bastin} and \textit{P. Laubin}, Duke Math. J. 87, No. 3, 481--508 (1997; Zbl 0883.42026) Full Text: DOI
Lin, En-Bing; Zhou, Xiaolin Coiflet interpolation and approximate solutions of elliptic partial differential equations. (English) Zbl 0881.65097 Numer. Methods Partial Differ. Equations 13, No. 4, 303-320 (1997). Reviewer: V.V.Strygin (Voronezh) MSC: 65N30 65D05 42C15 65N12 35J25 PDF BibTeX XML Cite \textit{E.-B. Lin} and \textit{X. Zhou}, Numer. Methods Partial Differ. Equations 13, No. 4, 303--320 (1997; Zbl 0881.65097) Full Text: DOI
Keinert, Fritz; Kwon, Soon-Geol High accuracy reconstruction from wavelet coefficients. (English) Zbl 0879.42027 Appl. Comput. Harmon. Anal. 4, No. 3, 293-316 (1997). MSC: 42C40 65T99 PDF BibTeX XML Cite \textit{F. Keinert} and \textit{S.-G. Kwon}, Appl. Comput. Harmon. Anal. 4, No. 3, 293--316 (1997; Zbl 0879.42027) Full Text: DOI Link
Penev, Spiridon; Dechevsky, Lubomir On non-negative wavelet-based density estimators. (English) Zbl 1003.62513 J. Nonparametric Stat. 7, No. 4, 365-394 (1997). MSC: 62G07 62G20 42C40 PDF BibTeX XML Cite \textit{S. Penev} and \textit{L. Dechevsky}, J. Nonparametric Stat. 7, No. 4, 365--394 (1997; Zbl 1003.62513) Full Text: DOI
Spanos, P. D.; Tein, W.-Y.; Ghanem, R. G. Heuristic spectral estimation of bivariate nonstationary processes. (English) Zbl 0858.73080 Meccanica 31, No. 2, 207-218 (1996). MSC: 74S30 86A17 62P99 PDF BibTeX XML Cite \textit{P. D. Spanos} et al., Meccanica 31, No. 2, 207--218 (1996; Zbl 0858.73080) Full Text: DOI
Brillinger, David R. Some uses of cumulants in wavelet analysis. (English) Zbl 0879.62027 J. Nonparametric Stat. 6, No. 2-3, 93-114 (1996). MSC: 62G07 62M99 62G20 62M10 PDF BibTeX XML Cite \textit{D. R. Brillinger}, J. Nonparametric Stat. 6, No. 2--3, 93--114 (1996; Zbl 0879.62027) Full Text: DOI
Wu, Dane W. Asymptotic normality of the multiscale wavelet density estimator. (English) Zbl 0925.62174 Commun. Stat., Theory Methods 25, No. 9, 1957-1970 (1996). MSC: 62G20 62G07 62E20 PDF BibTeX XML Cite \textit{D. W. Wu}, Commun. Stat., Theory Methods 25, No. 9, 1957--1970 (1996; Zbl 0925.62174) Full Text: DOI
Zayed, Ahmed I. Wavelet expansions of analytic hyperfunctions. (English) Zbl 0841.46029 Integral Transforms Spec. Funct. 3, No. 4, 305-320 (1995). MSC: 46F12 46F15 42C40 PDF BibTeX XML Cite \textit{A. I. Zayed}, Integral Transforms Spec. Funct. 3, No. 4, 305--320 (1995; Zbl 0841.46029) Full Text: DOI