000 04001nam a22005775i 4500
001 978-0-387-75961-6
003 DE-He213
005 20161121231209.0
007 cr nn 008mamaa
008 100725s2008 xxu| s |||| 0|eng d
020 _a9780387759616
_9978-0-387-75961-6
024 7 _a10.1007/978-0-387-75961-6
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
245 1 0 _aWavelet Methods in Statistics with R
_h[electronic resource] /
_cedited by G. P. Nason.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _aX, 259 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUse R!
505 0 _aWavelets, discrete wavelet transforms, non-decimated transforms, wavelet packet transforms, lifting transforms -- Multiscale methods for denoising (wavelet shrinkage) -- Locally stationary wavelet time series and texture modelling -- Multiscale variable transformations for Gaussianization and variance stabilization -- Miscellaneous topics.
520 _aWavelet methods have recently undergone a rapid period of development with important implications for a number of disciplines including statistics. This book has three main objectives: (i) providing an introduction to wavelets and their uses in statistics; (ii) acting as a quick and broad reference to many developments in the area; (iii) interspersing R code that enables the reader to learn the methods, to carry out their own analyses, and further develop their own ideas. The book code is designed to work with the freeware R package WaveThresh4, but the book can be read independently of R. The book introduces the wavelet transform by starting with the simple Haar wavelet transform, and then builds to consider more general wavelets, complex-valued wavelets, non-decimated transforms, multidimensional wavelets, multiple wavelets, wavelet packets, boundary handling, and initialization. Later chapters consider a variety of wavelet-based nonparametric regression methods for different noise models and designs including density estimation, hazard rate estimation, and inverse problems; the use of wavelets for stationary and non-stationary time series analysis; and how wavelets might be used for variance estimation and intensity estimation for non-Gaussian sequences. The book is aimed both at Masters/Ph.D. students in a numerate discipline (such as statistics, mathematics, economics, engineering, computer science, and physics) and postdoctoral researchers/users interested in statistical wavelet methods. Guy Nason is Professor of Statistics at the University of Bristol. He has been actively involved in the development of various wavelet methods in statistics since 1993. He was awarded the Royal Statistical Society’s 2001 Guy Medal in Bronze for work on wavelets in statistics. He was the author of the first, free, generally available wavelet package for statistical purposes in S and R (WaveThresh2).
650 0 _aMathematics.
650 0 _aData mining.
650 0 _aBioinformatics.
650 0 _aProbabilities.
650 0 _aStatistics.
650 0 _aEconometrics.
650 0 _aPsychometrics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aStatistical Theory and Methods.
650 2 4 _aEconometrics.
650 2 4 _aBioinformatics.
650 2 4 _aPsychometrics.
650 2 4 _aData Mining and Knowledge Discovery.
700 1 _aNason, G. P.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387759609
830 0 _aUse R!
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-75961-6
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c509975
_d509975