An Introduction to Wavelets and Other Filtering Methods in Finance and EconomicsAn Introduction to Wavelets and Other Filtering Methods in Finance and Economics presents a unified view of filtering techniques with a special focus on wavelet analysis in finance and economics. It emphasizes the methods and explanations of the theory that underlies them. It also concentrates on exactly what wavelet analysis (and filtering methods in general) can reveal about a time series. It offers testing issues which can be performed with wavelets in conjunction with the multiresolution analysis. The descriptive focus of the book avoids proofs and provides easy access to a wide spectrum of parametric and nonparametric filtering methods. Examples and empirical applications will show readers the capabilities, advantages, and disadvantages of each method.

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Página xiii
Application of translation and dilation to the squarewave function Sample ... transform of a signal Gain function of an ideal filter Gain functions of ...
Application of translation and dilation to the squarewave function Sample ... transform of a signal Gain function of an ideal filter Gain functions of ...
Página xiv
... probability density function Critical sampling of the timefrequency plane Squared gain functions for ideal filters and their wavelet approximations ...
... probability density function Critical sampling of the timefrequency plane Squared gain functions for ideal filters and their wavelet approximations ...
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(b) The magnitude of the Fourier transform as a function of the period p = 1/f. ... 12 We may also look at the squared gain function.
(b) The magnitude of the Fourier transform as a function of the period p = 1/f. ... 12 We may also look at the squared gain function.
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The first part G(f) is called the gain function and it is the magnitude of the frequency response function, H(f)]. The second part is the phase function.
The first part G(f) is called the gain function and it is the magnitude of the frequency response function, H(f)]. The second part is the phase function.
Página 34
... 0.25 D.5 Frequency Frequency FIGURE 2.8 The magnitude of the gain functions of ... of the gain as a function of the frequency is known as again diagram.
... 0.25 D.5 Frequency Frequency FIGURE 2.8 The magnitude of the gain functions of ... of the gain as a function of the frequency is known as again diagram.
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Contenido
1  
15  
51  
CHAPTER 4 DISCRETE WAVELET TRANSFORMS  96 
CHAPTER 5 WAVELETS AND STATIONARY PROCESSES  161 
CHAPTER 6 WAVELET DENOISING  202 
CHAPTER 7 WAVELETS FOR VARIANCECOVARIANCE ESTIMATION  235 
CHAPTER 8 ARTIFICIAL NEURAL NETWORKS  272 
NOTATIONS  315 
BIBLIOGRAPHY  323 
INDEX  349 
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An Introduction to Wavelets and Other Filtering Methods in Finance and Economics Ramazan Gençay,Faruk Selçuk,Brandon Whitcher Sin vista previa disponible  2002 
Términos y frases comunes
analysis applied approximate associated assumed basis beta calculated components computed correlation covariance cycle decomposition defined determined difference discrete distribution dynamics Equation error estimator example feedforward network Figure Fourier transform frequency function gain function Gaussian given Haar hidden units increases indicate input interval Kalman filter known lags length linear matrix mean method MODWT moving average network model neural network noise observations obtained original output parameter performance period phase plotted points prediction presented procedure produce properties random recurrent respectively response returns rule sample scale seasonal sequence shift shows signal simple simulation smooth spectral spectrum squared standard stationary statistical studied term thresholding values variables variance vector volatility wavelet coefficients wavelet details wavelet filter wavelet scale wavelet transform wavelet variance weights zero