Wavelets in functional data analysis. (2017)

• Record Type: Book
• Further Information: Note: Pedro A Morettin, Aluísio Pinheiro, Brani Vidakovic.
• Other Names: Morettin, Pedro A; Pinheiro, Aluísio; Vidakovic, Brani, 1955-
• Contents: ""Preface""; ""Contents""; ""1 Introduction: Examples of Functional Data""; ""1.1 Experimental Data in Tumor Physiology""; ""1.2 Orthosis Data Analysis""; ""1.3 Functional MRI Brain Data""; ""1.4 Metabolite Progesterone Curves""; ""1.5 NMR Spectra and SAA (Sulfur Amino Acids) Deficiency""; ""2 Wavelets""; ""2.1 Introduction to Wavelets""; ""2.2 How Do the Wavelets Work?""; ""2.2.1 The Haar Wavelet""; ""2.2.2 General Case""; ""2.2.3 Periodic Wavelets""; ""2.2.4 Wavelets in the Language of Signal Processing""; ""2.3 2-D and n-D Wavelet Decompositions""; ""2.4 Further Topics"" ""2.4.1 Construction of Wavelet Matrix""""2.4.2 Daubechiesâ#x80;#x93;Lagarias Algorithm""; ""2.4.3 Pollen-Type Parameterizations of Wavelet Bases""; ""2.4.4 Strangâ#x80;#x93;Fix Condition""; ""2.4.5 Covariance Wavelet Transform""; ""2.4.6 Wavelet Derivatives""; ""3 Wavelet Shrinkage""; ""3.1 Introduction""; ""3.2 Choice of Thresholds""; ""3.3 Shrinkage in Several Dimensions""; ""4 Wavelet-Based Andrews' Plots""; ""4.1 Introduction""; ""4.2 Andrews' Plots""; ""4.3 Data Sets""; ""4.4 Variations of Andrews' Plots""; ""4.5 Critique of Andrews' Plots""; ""4.6 Wavelet-Based Andrews' Plots""; ""4.6.1 Properties"" ""4.6.2 Examples Revisited""""4.7 Discussion""; ""5 Functional ANOVA""; ""5.1 Introduction""; ""5.2 The Functional Analysis of Variance Models""; ""5.3 The Mixed FANOVA Models""; ""5.4 An Illustration with the Orthosis Data""; ""5.5 An Application in Cloud/Temperature Mapping""; ""6 Further Topics""; ""6.1 Introduction""; ""6.2 The DWT-CEM Algorithm""; ""6.3 Functional Regression Models""; ""6.4 Dimension Reduction""; ""6.5 Concluding Remarks""; ""Bibliography""
• Publisher Details: Cham : Springer
• Publication Date: 2017
• Extent: 1 online resource (112 pages)
• Subjects: 515/.2433; 515.7; Mathematics; Wavelets (Mathematics); Mathematical statistics; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Mathematical statistics; Wavelets (Mathematics); Mathematics -- Probability & Statistics -- General; Mathematics -- Applied; Probability & statistics; Mathematical modelling; Functional analysis; Mathematics -- Functional Analysis; Functional analysis & transforms; Electronic books
• Languages: English
• ISBNs: 9783319596235; 3319596233
• Related ISBNs: 9783319596228; 3319596225
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.