{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:30:00Z","timestamp":1740137400921,"version":"3.37.3"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2016,2,3]],"date-time":"2016-02-03T00:00:00Z","timestamp":1454457600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["277742"],"award-info":[{"award-number":["277742"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Methods Appl"],"published-print":{"date-parts":[[2016,11]]},"DOI":"10.1007\/s10260-016-0352-0","type":"journal-article","created":{"date-parts":[[2016,2,3]],"date-time":"2016-02-03T04:44:21Z","timestamp":1454474661000},"page":"651-673","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields"],"prefix":"10.1007","volume":"25","author":[{"given":"Claudio","family":"Durastanti","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,2,3]]},"reference":[{"key":"352_CR1","doi-asserted-by":"crossref","first-page":"886","DOI":"10.1214\/09-EJS419","volume":"3","author":"A Al-Sharadqah","year":"2009","unstructured":"Al-Sharadqah A, Chernov N (2009) Error analysis for circle fitting algorithms. Electron J Stat 3:886\u2013911","journal-title":"Electron J Stat"},{"issue":"4","key":"352_CR2","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/s00041-006-6013-0","volume":"13","author":"J-P Antoine","year":"2007","unstructured":"Antoine J-P, Vandergheynst P (2007) Wavelets on the sphere and other conic sections. J Fourier Anal Appl 13(4):369\u2013386","journal-title":"J Fourier Anal Appl"},{"issue":"4","key":"352_CR3","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1016\/j.jfa.2013.10.014","volume":"266","author":"E Azmoodeh","year":"2014","unstructured":"Azmoodeh E, Campese S, Poly G (2014) Fourth moment theorems for Markov diffusion generators. J Funct Anal 266(4):234\u20132359","journal-title":"J Funct Anal"},{"issue":"3","key":"352_CR4","doi-asserted-by":"crossref","first-page":"1150","DOI":"10.1214\/08-AOS601","volume":"37","author":"P Baldi","year":"2009","unstructured":"Baldi P, Kerkyacharian G, Marinucci D, Picard D (2009) Asymptotics for spherical needlets. Ann Stat 37(3):1150\u20131171","journal-title":"Ann Stat"},{"issue":"6A","key":"352_CR5","doi-asserted-by":"crossref","first-page":"3362","DOI":"10.1214\/09-AOS682","volume":"37","author":"P Baldi","year":"2009","unstructured":"Baldi P, Kerkyacharian G, Marinucci D, Picard D (2009) Adaptive density estimation for directional data using needlets. Ann Stat 37(6A):3362\u20133395","journal-title":"Ann Stat"},{"key":"352_CR6","doi-asserted-by":"crossref","unstructured":"Bhattacharya A, Bhattacharya R (2008) Nonparametric statistics on manifolds with applications to shape spaces. In: Pushing the limits of contemporary statistics: contributions in honor of J. K. Ghosh, IMS Lect. Ser","DOI":"10.1214\/074921708000000200"},{"issue":"66","key":"352_CR7","first-page":"142","volume":"19","author":"S Bourguin","year":"2014","unstructured":"Bourguin S, Peccati G (2014) A portmanteau inequality on the Poisson space: mixed regimes and multidimensional clustering. Electron J Probab 19(66):142","journal-title":"Electron J Probab"},{"key":"352_CR8","doi-asserted-by":"crossref","unstructured":"Bourguin S, Durastanti C, Marinucci D, Peccati G (2014) Gaussian approximation of nonlinear statistics on the sphere. J Math Anal Appl 436(2):1121\u20131148","DOI":"10.1016\/j.jmaa.2015.12.036"},{"issue":"3","key":"352_CR9","doi-asserted-by":"crossref","first-page":"1159","DOI":"10.1214\/14-AIHP609","volume":"51","author":"V Cammarota","year":"2015","unstructured":"Cammarota V, Marinucci D (2015) On the limiting behaviour of needlets polyspectra. Ann. Inst. H. Poincar Probab. Statist. 51(3):1159\u20131189","journal-title":"Ann. Inst. H. Poincar Probab. Statist."},{"issue":"19","key":"352_CR10","doi-asserted-by":"crossref","first-page":"2066","DOI":"10.1016\/j.spl.2009.06.014","volume":"79","author":"M Marzio Di","year":"2009","unstructured":"Di Marzio M, Panzera A, Taylor CC (2009) Local polynomial regression for circular predictors. Stat Probab Lett 79(19):2066\u20132075","journal-title":"Stat Probab Lett"},{"issue":"3","key":"352_CR11","doi-asserted-by":"crossref","first-page":"879","DOI":"10.1214\/aos\/1024691081","volume":"26","author":"D Donoho","year":"1998","unstructured":"Donoho D, Johnstone I (1998) Minimax estimation via wavelet shrinkage. Ann Stat 26(3):879\u2013921","journal-title":"Ann Stat"},{"issue":"1","key":"352_CR12","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.jmva.2011.05.012","volume":"104","author":"C Durastanti","year":"2012","unstructured":"Durastanti C, Geller D, Marinucci D (2012) Adaptive nonparametric regression on spin fiber bundles. J Multivar Anal 104(1):16\u201338","journal-title":"J Multivar Anal"},{"key":"352_CR13","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1214\/13-EJS782","volume":"7","author":"C Durastanti","year":"2013","unstructured":"Durastanti C, Lan X, Marinucci D (2013) Needlet\u2013Whittle estimates on the unit sphere. Electron J Stat 7:597\u2013646","journal-title":"Electron J Stat"},{"key":"352_CR14","doi-asserted-by":"crossref","unstructured":"Durastanti C, Lan X (2013) High-frequency tail index estimation by nearly tight frames. In: Commutative and noncommutative harmonic\u00a0analysis and applications. Contemporary mathematics, vol 603. American mathematical society, Providence, Rhode Island, USA","DOI":"10.1090\/conm\/603\/12041"},{"key":"352_CR15","unstructured":"Durastanti C (2013) Tail behaviour of Mexican needlets. Submitted, arXiv:1307.4553v1"},{"issue":"1","key":"352_CR16","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1016\/j.jmaa.2013.06.028","volume":"409","author":"C Durastanti","year":"2013","unstructured":"Durastanti C, Marinucci D, Peccati G (2013) Normal approximations for wavelet coefficients on spherical Poisson fields. J Math Anal Appl 409(1):212\u2013227","journal-title":"J Math Anal Appl"},{"key":"352_CR17","doi-asserted-by":"crossref","unstructured":"Durastanti C (2015a) Block thresholding on the sphere. Sankhya A 77(1):153\u2013185","DOI":"10.1007\/s13171-014-0057-0"},{"key":"352_CR18","unstructured":"Durastanti C (2015b) Adaptive density estimation on the circle by nearly-tight frames. Submitted, arXiv:1504.00595"},{"key":"352_CR19","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511564345","volume-title":"Statistical analysis of circular data","author":"NI Fisher","year":"1993","unstructured":"Fisher NI (1993) Statistical analysis of circular data. Cambridge University Press, Cambridge"},{"key":"352_CR20","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.jmva.2013.06.009","volume":"121","author":"E Garc\u00eda Portugu\u00e9s","year":"2013","unstructured":"Garc\u00eda Portugu\u00e9s E, Crujeiras RM, Gonz\u00e1lez Manteiga W (2013) Kernel density estimation for directional-linear data. J Multivar Anal 121:152\u2013175","journal-title":"J Multivar Anal"},{"issue":"5","key":"352_CR21","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1007\/s00041-006-6002-4","volume":"12","author":"D Geller","year":"2006","unstructured":"Geller D, Mayeli A (2006) Continuous wavelets and frames on stratified Lie groups I. J Fourier Anal Appl 12(5):543\u2013579","journal-title":"J Fourier Anal Appl"},{"key":"352_CR22","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1007\/s00209-008-0405-7","volume":"262","author":"D Geller","year":"2009","unstructured":"Geller D, Mayeli A (2009) Continuous wavelets on manifolds. Math Z 262:895\u2013927","journal-title":"Math Z"},{"key":"352_CR23","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/s00209-008-0406-6","volume":"263","author":"D Geller","year":"2009","unstructured":"Geller D, Mayeli A (2009) Nearly tight frames and space-frequency analysis on compact manifolds. Math Z 263:235\u2013264","journal-title":"Math Z"},{"key":"352_CR24","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1512\/iumj.2009.58.3741","volume":"58","author":"D Geller","year":"2009","unstructured":"Geller D, Mayeli A (2009) Besov spaces and frames on compact manifolds. Indiana Univ Math J 58:2003\u20132042","journal-title":"Indiana Univ Math J"},{"key":"352_CR25","doi-asserted-by":"crossref","unstructured":"Hardle W, Kerkyacharian G, Picard D, Tsybakov A (1998) Wavelets, approximation and statistical applications. Springer, New York","DOI":"10.1007\/978-1-4612-2222-4"},{"issue":"3","key":"352_CR26","doi-asserted-by":"crossref","first-page":"1290","DOI":"10.1016\/j.jspi.2010.09.029","volume":"141","author":"C Huang","year":"2011","unstructured":"Huang C, Wang H, Zhang L (2011) Berry\u2013Esseen bounds for kernel estimates of stationary processes. J Stat Plan Inference 141(3):1290\u20131296","journal-title":"J Stat Plan Inference"},{"key":"352_CR27","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1006\/jmva.1999.1861","volume":"73","author":"J Klemela","year":"2000","unstructured":"Klemela J (2000) Estimation of densities and derivatives of densities with directional data. J Multivar Anal 73:18\u201340","journal-title":"J Multivar Anal"},{"key":"352_CR28","doi-asserted-by":"crossref","first-page":"3749","DOI":"10.1016\/j.spa.2009.07.005","volume":"119","author":"X Lan","year":"2009","unstructured":"Lan X, Marinucci D (2009) On the dependence structure of wavelet coefficients for spherical random fields. Stoch Process Appl 119:3749\u20133766","journal-title":"Stoch Process Appl"},{"issue":"6","key":"352_CR29","doi-asserted-by":"crossref","first-page":"2439","DOI":"10.1214\/11-AOP685","volume":"40","author":"M Ledoux","year":"2012","unstructured":"Ledoux M (2012) Chaos of a Markov operator and the fourth moment condition. Ann Probab 40(6):2439\u20132459","journal-title":"Ann Probab"},{"key":"352_CR30","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1214\/14-EJS904","volume":"8","author":"C Ley","year":"2014","unstructured":"Ley C, Sabbah C, Verdebout T (2014) A new concept of quantiles for directional data and the angular Mahalanobis depth. Electron J Stat 8:795\u2013816","journal-title":"Electron J Stat"},{"issue":"1","key":"352_CR31","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.spl.2010.09.024","volume":"81","author":"Y Li","year":"2011","unstructured":"Li Y, Wei C, Xing G (2011) Berry\u2013Esseen bounds for wavelet estimator in a regression model with linear process errors. Stat Probab Lett 81(1):103\u2013110","journal-title":"Stat Probab Lett"},{"key":"352_CR32","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511751677","volume-title":"Random fields on the sphere. Representation, limit theorems and cosmological applications","author":"D Marinucci","year":"2011","unstructured":"Marinucci D, Peccati G (2011) Random fields on the sphere. Representation, limit theorems and cosmological applications. Cambridge University Press, Cambridge"},{"issue":"1","key":"352_CR33","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.jmaa.2009.07.044","volume":"363","author":"A Mayeli","year":"2010","unstructured":"Mayeli A (2010) Asymptotic uncorrelation for Mexican needlets. J Math Anal Appl 363(1):336\u2013344","journal-title":"J Math Anal Appl"},{"key":"352_CR34","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1137\/040614359","volume":"38","author":"FJ Narcowich","year":"2006","unstructured":"Narcowich FJ, Petrushev P, Ward JD (2006a) Localized tight frames on spheres. SIAM J Math Anal 38:574\u2013594","journal-title":"SIAM J Math Anal"},{"issue":"2","key":"352_CR35","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1016\/j.jfa.2006.02.011","volume":"238","author":"FJ Narcowich","year":"2006","unstructured":"Narcowich FJ, Petrushev P, Ward JD (2006b) Decomposition of Besov and Triebel\u2013Lizorkin spaces on the sphere. J Funct Anal 238(2):530\u2013564","journal-title":"J Funct Anal"},{"issue":"1\u20132","key":"352_CR36","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s00440-008-0162-x","volume":"145","author":"I Nourdin","year":"2009","unstructured":"Nourdin I, Peccati G (2009) Stein\u2019s method on Wiener chaos. Probab Theory Relat Fields 145(1\u20132):75\u2013118","journal-title":"Probab Theory Relat Fields"},{"key":"352_CR37","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139084659","volume-title":"Normal approximations using Malliavin calculus: from Stein\u2019s method to universality","author":"I Nourdin","year":"2012","unstructured":"Nourdin I, Peccati G (2012) Normal approximations using Malliavin calculus: from Stein\u2019s method to universality. Cambridge University Press, Cambridge"},{"issue":"1","key":"352_CR38","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1214\/009117904000000621","volume":"33","author":"D Nualart","year":"2005","unstructured":"Nualart D, Peccati G (2005) Central limit theorems for sequences of multiple stochastic integrals. Ann Probab 33(1):177\u2013193","journal-title":"Ann Probab"},{"issue":"2","key":"352_CR39","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1214\/09-AOP477","volume":"38","author":"G Peccati","year":"2010","unstructured":"Peccati G, Sol\u00e9 J-L, Taqqu MS, Utzet F (2010) Stein\u2019s method and normal apprimation for Poisson functionals. Ann Probab 38(2):443\u2013478","journal-title":"Ann Probab"},{"issue":"48","key":"352_CR40","first-page":"1487","volume":"15","author":"G Peccati","year":"2010","unstructured":"Peccati G, Zheng C (2010) Multi-dimensional Gaussian fluctuationson the Poisson space. Electron J Probab 15(48):1487\u20131527","journal-title":"Electron J Probab"},{"key":"352_CR41","volume-title":"Wiener chaos: moments, cumulants and diagrams","author":"G Peccati","year":"2010","unstructured":"Peccati G, Taqqu MS (2010) Wiener chaos: moments, cumulants and diagrams. Springer, Heidelberg"},{"key":"352_CR42","doi-asserted-by":"crossref","DOI":"10.1142\/4031","volume-title":"Topics in circular statistics","author":"S Rao Jammalamadaka","year":"2001","unstructured":"Rao Jammalamadaka S, Sengupta A (2001) Topics in circular statistics. World Scientific, Singapore"},{"key":"352_CR43","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1088\/0004-637X\/733\/2\/121","volume":"733","author":"S Scodeller","year":"2011","unstructured":"Scodeller S, Rudjord O, Hansen FK, Marinucci D, Geller D, Mayeli A (2011) Introducing Mexican needlets for CMB analysis: issues for practical applications and comparison with standard needlets. ApJ 733:121","journal-title":"ApJ"},{"key":"352_CR44","doi-asserted-by":"crossref","unstructured":"Silverman BW (1986) Density estimation for statistics and data analysis. Chapman & Hall, London","DOI":"10.1007\/978-1-4899-3324-9"},{"key":"352_CR45","volume-title":"Introduction to Fourier analysis on Euclidean spaces","author":"E Stein","year":"1971","unstructured":"Stein E, Weiss G (1971) Introduction to Fourier analysis on Euclidean spaces. Princeton University Press, Princeton"},{"key":"352_CR46","doi-asserted-by":"crossref","DOI":"10.1007\/b13794","volume-title":"Introduction to nonparametric estimation","author":"AB Tsybakov","year":"2009","unstructured":"Tsybakov AB (2009) Introduction to nonparametric estimation. Springer, New York"},{"issue":"3","key":"352_CR47","doi-asserted-by":"crossref","first-page":"660","DOI":"10.1016\/j.jspi.2011.09.004","volume":"142","author":"W Yang","year":"2012","unstructured":"Yang W, Hu S, Wang X, Ling N (2012) The Berry\u2013Esseen type bound of sample quantiles for strong mixing sequence. J Stat Plan Inference 142(3):660\u2013672","journal-title":"J Stat Plan Inference"},{"key":"352_CR48","first-page":"238269","volume":"5","author":"D Wang","year":"2011","unstructured":"Wang D, Loh W (2011) On fixed-domain asymptotics and covariance tapering in Gaussian random field models. Electron J Stat 5:238269","journal-title":"Electron J Stat"},{"issue":"5","key":"352_CR49","doi-asserted-by":"crossref","first-page":"2027","DOI":"10.1214\/aos\/1069362385","volume":"25","author":"H Wu","year":"1997","unstructured":"Wu H (1997) Optimal exact designs on a circle or a circular arc. Ann Stat 25(5):2027\u20132043","journal-title":"Ann Stat"},{"key":"352_CR50","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.jmva.2012.11.014","volume":"116","author":"W-Y Wu","year":"2013","unstructured":"Wu W-Y, Lim CY, Xiao Y (2013) Tail estimation of the spectral density for a stationary random field. J Multivar Anal 116:74\u201391","journal-title":"J Multivar Anal"}],"container-title":["Statistical Methods &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-016-0352-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10260-016-0352-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-016-0352-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-016-0352-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T07:46:39Z","timestamp":1559115999000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10260-016-0352-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,3]]},"references-count":50,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,11]]}},"alternative-id":["352"],"URL":"https:\/\/doi.org\/10.1007\/s10260-016-0352-0","relation":{},"ISSN":["1618-2510","1613-981X"],"issn-type":[{"type":"print","value":"1618-2510"},{"type":"electronic","value":"1613-981X"}],"subject":[],"published":{"date-parts":[[2016,2,3]]}}}