{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T19:15:47Z","timestamp":1771874147785,"version":"3.50.1"},"reference-count":40,"publisher":"Elsevier BV","issue":"12","license":[{"start":{"date-parts":[[2007,8,1]],"date-time":"2007-08-01T00:00:00Z","timestamp":1185926400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Statistics &amp; Data Analysis"],"published-print":{"date-parts":[[2007,8]]},"DOI":"10.1016\/j.csda.2006.11.037","type":"journal-article","created":{"date-parts":[[2006,12,20]],"date-time":"2006-12-20T15:12:11Z","timestamp":1166627531000},"page":"5994-6012","source":"Crossref","is-referenced-by-count":16,"title":["Visualization and inference based on wavelet coefficients, SiZer and SiNos"],"prefix":"10.1016","volume":"51","author":[{"given":"Cheolwoo","family":"Park","sequence":"first","affiliation":[]},{"given":"Fred","family":"Godtliebsen","sequence":"additional","affiliation":[]},{"given":"Murad","family":"Taqqu","sequence":"additional","affiliation":[]},{"given":"Stilian","family":"Stoev","sequence":"additional","affiliation":[]},{"given":"J.S.","family":"Marron","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.csda.2006.11.037_bib1","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1109\/18.650984","article-title":"Wavelet analysis of long-range dependent traffic","volume":"44","author":"Abry","year":"1998","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/j.csda.2006.11.037_bib2","series-title":"Theory and Applications of Long-range Dependence","first-page":"527","article-title":"Self-similarity and long-range dependence through the wavelet lens","author":"Abry","year":"2003"},{"key":"10.1016\/j.csda.2006.11.037_bib3","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1023\/A:1009953000763","article-title":"Wavelet estimator of long-range dependent processes","volume":"3","author":"Bardet","year":"2000","journal-title":"Statist. Inference Stochastic Process."},{"key":"10.1016\/j.csda.2006.11.037_bib4","series-title":"Theory and Applications of Long-range Dependence","first-page":"527","article-title":"Semi-parametric estimation of the long-range dependence parameter: a survey","author":"Bardet","year":"2002"},{"key":"10.1016\/j.csda.2006.11.037_bib5","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1111\/j.2517-6161.1995.tb02031.x","article-title":"Controlling the false discovery rate: a practical and powerful approach to multiple testing","volume":"57","author":"Benjamini","year":"1995","journal-title":"J. Roy. Statist. Soc. Ser. B"},{"key":"10.1016\/j.csda.2006.11.037_bib6","series-title":"Statistics for Long-memory Processes","author":"Beran","year":"1994"},{"key":"10.1016\/j.csda.2006.11.037_bib7","doi-asserted-by":"crossref","first-page":"807","DOI":"10.2307\/2669996","article-title":"SiZer for exploration of structures in curves","volume":"94","author":"Chaudhuri","year":"1999","journal-title":"J. Amer. Statist. Assoc."},{"issue":"4","key":"10.1016\/j.csda.2006.11.037_bib8","first-page":"227","article-title":"On the effects of non-stationarity in long-range dependence tests","volume":"43","author":"Dang","year":"1999","journal-title":"Peridica Polytech. Ser. Electr. Engrg."},{"key":"10.1016\/j.csda.2006.11.037_bib9","series-title":"Ten Lectures on Wavelets","author":"Daubechies","year":"1992"},{"key":"10.1016\/j.csda.2006.11.037_bib10","series-title":"Theory and Applications of Long-range Dependence","author":"Doukhan","year":"2003"},{"key":"10.1016\/j.csda.2006.11.037_bib11","series-title":"Local Polynomial Modelling and Its Applications","author":"Fan","year":"1996"},{"key":"10.1016\/j.csda.2006.11.037_bib12","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1145\/285243.285256","article-title":"Data networks as cascades: investigating the multifractal nature of Internet WAN traffic","volume":"28","author":"Feldmann","year":"1998","journal-title":"Proceedings of the ACM\/SIGCOMM \u201998. Comput. Comm. Rev."},{"key":"10.1016\/j.csda.2006.11.037_bib13","doi-asserted-by":"crossref","unstructured":"Feldmann, A., Gilbert, A.C., Huang, P., Willinger, W., 1999. Dynamics of IP traffic: a study of the role of variability and the impact of control. Proceedings of the ACM\/SIGCOMM \u201999, Boston, MA, pp. 301\u2013313.","DOI":"10.1145\/316194.316235"},{"issue":"4","key":"10.1016\/j.csda.2006.11.037_bib14","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1239\/jap\/1011994190","article-title":"Testing for long memory in the presence of a general trend","volume":"38","author":"Giraitis","year":"2001","journal-title":"J. Appl. Probab."},{"key":"10.1016\/j.csda.2006.11.037_bib15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1198\/106186006X94676","article-title":"Robust SiZer for exploration of regression structures and outlier detection","volume":"15","author":"Hannig","year":"2006","journal-title":"J. Comput. Graphical Statist."},{"key":"10.1016\/j.csda.2006.11.037_bib16","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1198\/016214505000001294","article-title":"Advanced distribution theory for SiZer","volume":"101","author":"Hannig","year":"2006","journal-title":"J. Amer. Statist. Assoc."},{"key":"10.1016\/j.csda.2006.11.037_bib17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/90.282603","article-title":"On the self-similar nature of Ethernet traffic","volume":"2","author":"Leland","year":"1994","journal-title":"IEEE\/ACM Trans. Networking"},{"key":"10.1016\/j.csda.2006.11.037_bib18","series-title":"Scale Space Theory in Computer Vision","author":"Lindeberg","year":"1994"},{"key":"10.1016\/j.csda.2006.11.037_bib19","series-title":"A Wavelet Tour of Signal Processing","author":"Mallat","year":"1998"},{"key":"10.1016\/j.csda.2006.11.037_bib20","doi-asserted-by":"crossref","first-page":"82","DOI":"10.2307\/2525574","article-title":"Long-run linearity, locally Gaussian processes, H-spectra and infinite variance","volume":"10","author":"Mandelbrot","year":"1969","journal-title":"Internat. Econom. Rev."},{"key":"10.1016\/j.csda.2006.11.037_bib21","unstructured":"Mikosch, T., Sta\u02c7rica\u02c7, C., 2000. Change of structure in financial time series, long-range dependence and the GARCH model. Working Paper Series No. 58, Center for Analytical Finance, University of Aarhus, Denmark."},{"key":"10.1016\/j.csda.2006.11.037_bib22","doi-asserted-by":"crossref","unstructured":"Olsen, L.R., S\u00f8rbye, S.H., Godtliebsen, F., 2006. A scale-space approach for detecting non-stationarities in time series. Scand. J. Statist., to appear.","DOI":"10.1111\/j.1467-9469.2007.00556.x"},{"key":"10.1016\/j.csda.2006.11.037_bib23","unstructured":"Park, C., Hernandez Campos, F., Le, L., Marron, J.S., Park, J., Pipiras, V., Smith F.D., Smith, R.L., Trovero, M., Zhu, Z., 2004. Long-range dependence analysis of Internet traffic. Technometrics, under revision."},{"key":"10.1016\/j.csda.2006.11.037_bib24","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1080\/0266476042000270554","article-title":"Dependent SiZer: goodness of fit tests for time series models","volume":"31","author":"Park","year":"2004","journal-title":"J. Appl. Statist."},{"key":"10.1016\/j.csda.2006.11.037_bib25","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1109\/90.392383","article-title":"Wide Area traffic: the failure of Poisson modeling","volume":"3","author":"Paxson","year":"1995","journal-title":"IEEE\/ACM Trans. Networking"},{"key":"10.1016\/j.csda.2006.11.037_bib26","unstructured":"Pipiras, V., Taqqu, M.S., Abry, P., 2001. Asymptotic normality for wavelet-based estimators of fractional stable motion. Unpublished manuscript."},{"key":"10.1016\/j.csda.2006.11.037_bib27","series-title":"Self-similar Network Traffic and Performance Evaluation","first-page":"507","article-title":"Toward an improved understanding of network traffic dynamics","author":"Riedi","year":"2000"},{"key":"10.1016\/j.csda.2006.11.037_bib28","doi-asserted-by":"crossref","first-page":"1630","DOI":"10.1214\/aos\/1176324317","article-title":"Gaussian semiparametric estimation of long-range dependence","volume":"23","author":"Robinson","year":"1995","journal-title":"Ann. Statist."},{"key":"10.1016\/j.csda.2006.11.037_bib29","unstructured":"Rondonotti, V., Marron, J.S., Park, C., 2004. SiZer for time series: a new approach to the analysis of trends. J. Time Series Anal., under revision."},{"key":"10.1016\/j.csda.2006.11.037_bib30","doi-asserted-by":"crossref","unstructured":"Roughan, M., Veitch, D., 1999. Measuring long-range dependence under changing traffic conditions. Proceeding of IEEE INFOCOM \u201999, pp. 1513\u20131521.","DOI":"10.1109\/INFCOM.1999.752173"},{"key":"10.1016\/j.csda.2006.11.037_bib31","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/j.comnet.2004.11.017","article-title":"On the wavelet spectrum diagnostic for Hurst parameter estimation in the analysis of Internet traffic","volume":"48","author":"Stoev","year":"2005","journal-title":"Comput. Networks"},{"key":"10.1016\/j.csda.2006.11.037_bib32","doi-asserted-by":"crossref","first-page":"2447","DOI":"10.1016\/j.csda.2004.12.014","article-title":"LASS: a tool for the local analysis of self-similarity","volume":"50","author":"Stoev","year":"2006","journal-title":"Comput. Statist. Data Anal."},{"key":"10.1016\/j.csda.2006.11.037_bib33","series-title":"Theory and Applications of Long-range Dependence","first-page":"5","article-title":"Fractional Brownian motion and long-range dependence","author":"Taqqu","year":"2003"},{"key":"10.1016\/j.csda.2006.11.037_bib34","series-title":"Progress in Probability and Statistics","first-page":"73","article-title":"Using renewal processes to generate LRD and high variability","author":"Taqqu","year":"1986"},{"key":"10.1016\/j.csda.2006.11.037_bib35","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1080\/15326349708807449","article-title":"Robustness of Whittle-type estimates for time series with long-range dependence","volume":"13","author":"Taqqu","year":"1997","journal-title":"Stochastic Models"},{"key":"10.1016\/j.csda.2006.11.037_bib36","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1111\/1467-9892.00050","article-title":"Testing for long-range dependence in the presence of shifting means or a slowly declining trend, using a variance-type estimator","volume":"18","author":"Teverovsky","year":"1997","journal-title":"J. Time Ser. Anal."},{"key":"10.1016\/j.csda.2006.11.037_bib37","unstructured":"Uhlig, S., Bonaventure, O., Rapier, C., 2003. A graphical wavelet-based method for analyzing scaling processes. ITC Specialist Seminar, W\u00fcrzburg, Germany, pp. 329\u2013336."},{"issue":"3","key":"10.1016\/j.csda.2006.11.037_bib38","doi-asserted-by":"crossref","first-page":"878","DOI":"10.1109\/18.761330","article-title":"A wavelet-based joint estimator of the parameters of long-range dependence","volume":"45","author":"Veitch","year":"1999","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/j.csda.2006.11.037_bib39","doi-asserted-by":"crossref","first-page":"2325","DOI":"10.1109\/78.950788","article-title":"A statistical test for the time constancy of scaling exponents","volume":"49","author":"Veitch","year":"2001","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/j.csda.2006.11.037_bib40","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1142\/S0218348X03002099","article-title":"On the automatic selection of the onset of scaling","volume":"11","author":"Veitch","year":"2003","journal-title":"Fractals"}],"container-title":["Computational Statistics &amp; Data Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947306004701?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167947306004701?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,1,12]],"date-time":"2025-01-12T17:39:37Z","timestamp":1736703577000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167947306004701"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8]]},"references-count":40,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2007,8]]}},"alternative-id":["S0167947306004701"],"URL":"https:\/\/doi.org\/10.1016\/j.csda.2006.11.037","relation":{},"ISSN":["0167-9473"],"issn-type":[{"value":"0167-9473","type":"print"}],"subject":[],"published":{"date-parts":[[2007,8]]}}}