Investment horizon heterogeneity and wavelet: Overview and further research directions

[1]  Mara Madaleno,et al.  International stock market indices comovements: a new look , 2012 .

[2]  I. Daubechies,et al.  Factoring wavelet transforms into lifting steps , 1998 .

[3]  Yongxiang Huang,et al.  Hilbert-Huang Transform based multifractal analysis of China stock market , 2014 .

[4]  R. Weron,et al.  Fractal market hypothesis and two power-laws , 2000 .

[5]  James B. Ramsey,et al.  Wavelets in Economics and Finance: Past and Future , 2002 .

[6]  N. Wiener.  Generalized harmonic analysis , 1930 .

[7]  Leverage and Volatility Feedback Effects in High-Frequency Data , 2006 .

[8]  J. Tukey,et al.  An algorithm for the machine calculation of complex Fourier series , 1965 .

[9]  Francis Haeuck In,et al.  A note on the relationship between Fama-French risk factors and innovations of ICAPM state variables , 2007 .

[10]  Serge Galam,et al.  The formation of share market prices under heterogeneous beliefs and common knowledge , 2011, ArXiv.

[11]  J. Barkley Rosser,et al.  Econophysics and Economic Complexity , 2008, Adv. Complex Syst..

[12]  D. Gabor,et al.  Theory of communication. Part 1: The analysis of information , 1946 .

[13]  Garth Warner,et al.  Harmonic Analysis on Semi-Simple Lie Groups II , 1972 .

[14]  Mauro Gallegati,et al.  Wavelet variance and correlation analyses of output in G7 countries , 2005 .

[15]  Yanqin Fan,et al.  UNIT ROOT TESTS WITH WAVELETS , 2008, Econometric Theory.

[16]  Francis P. Keenan,et al.  # 2004. The American Astronomical Society. All rights reserved. Printed in U.S.A. WAVELET PHASE COHERENCE ANALYSIS: APPLICATION TO A QUIET-SUN MAGNETIC ELEMENT , 2004 .

[17]  Lixia Loh,et al.  Co-movement of Asia-Pacific with European and US stock market returns: A cross-time-frequency analysis , 2013 .

[18]  I. Daubechies.  Orthonormal bases of compactly supported wavelets , 1988 .

[19]  Philippe Masset,et al.  Analysis of Financial Time-Series Using Fourier and Wavelet Methods , 2008 .

[20]  Portfolio Management Allocation and the Investment Horizon , 1997 .

[21]  H. Kortas,et al.  Multiscale Fama‐French model: application to the French market , 2009 .

[22]  Brandon Whitcher,et al.  Differentiating intraday seasonalities through wavelet multi-scaling , 2001 .

[23]  Multihorizon Sharpe Ratios , 2005 .

[24]  M. Dacorogna,et al.  Volatilities of different time resolutions — Analyzing the dynamics of market components , 1997 .

[25]  John Cotter,et al.  An Empirical Analysis of Dynamic Multiscale Hedging Using Wavelet Decomposition , 2011, 1103.4943.

[26]  Lalu Mansinha,et al.  Localization of the complex spectrum: the S transform , 1996, IEEE Trans. Signal Process..

[27]  J. E. Littlewood,et al.  Theorems on Fourier Series and Power Series , 1931 .

[28]  António Rua,et al.  A wavelet-based assessment of market risk: The emerging markets case , 2012 .

[29]  Boualem Boashash,et al.  An efficient real-time implementation of the Wigner-Ville distribution , 1987, IEEE Trans. Acoust. Speech Signal Process..

[30]  P. Lemarié–Rieusset,et al.  Wavelet bases on the L-shaped domain , 2013 .

[31]  Chaker Aloui,et al.  Co-movements of GCC emerging stock markets: New evidence from wavelet coherence analysis , 2014 .

[32]  F. In,et al.  Portfolio allocation and the investment horizon: a multiscaling approach , 2010 .

[33]  R. Gencay,et al.  Scaling properties of foreign exchange volatility , 2001 .

[34]  Robert F. Mulligan.  Multifractality of sectoral price indices: Hurst signature analysis of Cantillon effects in disequilibrium factor markets , 2014 .

[35]  Kristofer Månsson,et al.  An investigation of the causal relations between exchange rates and interest rate differentials using wavelets , 2014 .

[36]  Paola Sapienza,et al.  Trusting the Stock Market , 2005 .

[37]  Ming Men,et al.  Fractal markets: Liquidity and investors on different time horizons , 2014 .

[38]  Song-Tao Liu.  Quadratic stable wavelet bases on general meshes , 2006 .

[39]  E. Jouini,et al.  Are More Risk-Averse Agents More Optimistic? Insights from a Simple Rational Expectations Equilibrium Model , 2006 .

[40]  StatmanMeir,et al.  A Behavioral Framework for Time Diversification , 1999 .

[41]  Zhenjiang Qin.  Speculations in Option Markets Enhance Allocation Efficiency with Heterogeneous Beliefs and Learning , 2013 .

[42]  C. Russell,et al.  Use of the Wigner‐Ville distribution in interpreting and identifying ULF waves in triaxial magnetic records , 2008 .

[43]  A. Calderón.  Intermediate spaces and interpolation, the complex method , 1964 .

[44]  Heather J. Ruskin,et al.  The reaction of stock markets to crashes and events: A comparison study between emerging and mature markets using wavelet transforms , 2006 .

[45]  Mohammed Alzahrani,et al.  Systematic Risk and Time Scales: New Evidence from an Application of Wavelet Approach to the Emerging Gulf Stock Markets , 2010 .

[46]  Gabriel J. Power,et al.  Long-range dependence in the volatility of commodity futures prices: Wavelet-based evidence , 2010 .

[47]  Ramazan Gençay,et al.  Investment Horizon Effect on Asset Allocation between Value and Growth Strategies , 2010 .

[48]  Catherine Marque,et al.  Application of wavelet coherence to the detection of uterine electrical activity synchronization in labor , 2010 .

[49]  M. Portnoff,et al.  Time-scale modification of speech based on short-time Fourier analysis , 1981 .

[50]  I. Daubechies,et al.  Othonormal bases of compactly supported wavelets III: better frequency resolution , 1993 .

[51]  Chunchi Wu,et al.  The Heterogeneous Investment Horizon and the Capital Asset Pricing Model: Theory and Implications , 1987, Journal of Financial and Quantitative Analysis.

[52]  Edgar E. Peters.  Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility , 1996 .

[53]  Littlewood–Paley Theory and the T(1) Theorem with Non-doubling Measures , 2000, math/0006039.

[54]  D. Tranfield,et al.  Towards a Methodology for Developing Evidence-Informed Management Knowledge by Means of Systematic Review , 2003 .

[55]  Shian-Chang Huang,et al.  Wavelet-based multi-resolution GARCH model for financial spillover effects , 2011, Math. Comput. Simul..

[56]  François Benhmad.  Modeling nonlinear Granger causality between the oil price and U.S. dollar: A wavelet based approach , 2012 .

[57]  Jumat Sulaiman,et al.  Application of Wavelet Method in Stock Exchange Problem , 2011 .

[58]  T. Bollerslev,et al.  A Discrete-Time Model for Daily S&P500 Returns and Realized Variations: Jumps and Leverage Effects , 2007 .

[59]  Enrico Capobianco,et al.  Empirical volatility analysis: feature detection and signal extraction with function dictionaries , 2003 .

[60]  M. Marchesi,et al.  Agent-based simulation of a financial market , 2001, cond-mat/0103600.

[61]  Ivor Grattan-Guinness,et al.  Joseph Fourier, 1768-1830; a survey of his life and work, based on a critical edition of his monograph on the propagation of heat, presented to the Institut de France in 1807 , 1972 .

[62]  Mark Kritzman.  What practitioners need to know . . . About time diversification , 1994 .

[63]  Christoph Schleicher,et al.  An Introduction to Wavelets for Economists , 2002 .

[64]  A. Walden,et al.  Wavelet Methods for Time Series Analysis , 2000 .

[65]  L. Moriconi,et al.  Option pricing from wavelet-filtered financial series , 2011, 1103.3639.

[66]  Brandon Whitcher,et al.  Systematic risk and timescales , 2003 .

[67]  Michael Graham,et al.  Global and regional co-movement of the MENA stock markets , 2013 .

[68]  Y. Katznelson.  An Introduction to Harmonic Analysis: Interpolation of Linear Operators , 1968 .

[69]  Atilla Cifter,et al.  Value-at-risk estimation with wavelet-based extreme value theory: Evidence from emerging markets , 2011 .

[70]  Dale L. Domian,et al.  Risk, diversification, and the investment horizon , 1991 .

[71]  Hahn-Shik Lee.  International transmission of stock market movements: a wavelet analysis , 2004 .

[72]  P. Manimaran,et al.  Difference in nature of correlation between NASDAQ and BSE indices , 2006 .

[73]  M. Omran,et al.  Co-movement of oil and stock prices in the GCC region: A wavelet analysis , 2012 .

[74]  Dana Cerná,et al.  Cubic spline wavelets with complementary boundary conditions , 2012, Appl. Math. Comput..

[75]  P. Gao,et al.  SYNCHRONIZATION OF HEMISPHERIC SUNSPOT ACTIVITY REVISITED: WAVELET TRANSFORM ANALYSES , 2009 .

[76]  Ingrid Daubechies,et al.  Orthonormal Bases of Wavelets with Finite Support — Connection with Discrete Filters , 1989 .

[77]  R. Donner,et al.  Scale-resolved phase coherence analysis of hemispheric sunspot activity: a new look at the north-south asymmetry , 2007 .

[78]  R. Gencay,et al.  An Introduction to Wavelets and Other Filtering Methods in Finance and Economics , 2001 .

[79]  Brandon C. Kelly,et al.  The Cross-Wavelet Transform and Analysis of Quasi-periodic Behavior in the Pearson-Readhead VLBI Survey Sources , 2002, astro-ph/0301002.

[80]  P. Tan,et al.  A wavelet based investigation of long memory in stock returns , 2012 .

[81]  Boualem Boashash,et al.  Recognition of time-varying signals in the time-frequency domain by means of the Wigner distribution , 1984, ICASSP.

[82]  Antonios Antoniou,et al.  Recurrence Quantification Analysis of Wavelet Pre-Filtered Index Returns , 2003 .

[83]  Giovanni Dosi,et al.  Institutional architectures and behavioral ecologies in the dynamics of financial markets , 2005 .

[84]  A. Calderón,et al.  Parabolic maximal functions associated with a distribution, II , 1977 .

[85]  Ramazan Gençay,et al.  Multi-scale tests for serial correlation , 2015 .

[86]  E. Wigner.  On the quantum correction for thermodynamic equilibrium , 1932 .

[87]  E. Jouini,et al.  Are more risk averse agents more optimistic? Insights from a rational expectations model , 2008 .

[88]  Aslak Grinsted,et al.  Nonlinear Processes in Geophysics Application of the Cross Wavelet Transform and Wavelet Coherence to Geophysical Time Series , 2022 .

[89]  V. Fernandez.  Time-Scale Decomposition of Price Transmission in International Markets , 2005 .

[90]  Daniel Arthur James,et al.  Wavelet coherence of EEG signals for a visual oddball task , 2013, Comput. Biol. Medicine.

[91]  Wavelet coherence analysis of Length-Of-Day variations and El Niño-Southern Oscillation , 2005 .

[92]  Brandon Whitcher,et al.  Asymmetry of information flow between volatilities across time scales , 2009 .

[93]  A. Haar.  Zur Theorie der orthogonalen Funktionensysteme , 1910 .

[94]  T. Conlon,et al.  Wavelet Multiscale Analysis for Hedge Funds: Scaling and Strategies , 2008 .

[95]  Charles E. Wasley,et al.  The relation between the return interval and betas: Implications for the size effect , 1989 .

[96]  G. Beylkin.  On the representation of operators in bases of compactly supported wavelets , 1992 .

[97]  Ashok Razdan.  Wavelet correlation coefficient of ‘strongly correlated’ time series , 2004 .

[98]  P. Webster,et al.  Interdecadal changes in the ENSO-monsoon system , 1999 .

[99]  A. M. Masih,et al.  Systematic Risk and Time Scales: New Evidence from an Application of Wavelet Approach to the Emerging Gulf Stock Markets , 2010 .

[100]  M. Anufriev,et al.  The impact of short-selling constraints on financial market stability in a heterogeneous agents model , 2013 .

[101]  Francis Haeuck In,et al.  Multiscale hedge ratio between the Australian stock and futures markets: Evidence from wavelet analysis , 2006 .

[102]  Nikola Gradojevic,et al.  Errors-in-variables estimation with wavelets , 2009 .

[103]  Ingrid Daubechies,et al.  Where do wavelets come from? A personal point of view , 1996, Proc. IEEE.

[104]  P. Manimaran,et al.  Characterizing multi-scale self-similar behavior and non-statistical properties of fluctuations in financial time series , 2010, 1003.2539.

[105]  T. Yoneyama,et al.  A method for detection of abrupt changes in the financial market combining wavelet decomposition and correlation graphs , 2012 .

[106]  Clotilde Napp,et al.  Aggregation of Heterogeneous Beliefs , 2006 .

[107]  Antonios Antoniou,et al.  Price Clustering and Discreteness: Is There Chaos Behind the Noise? , 2004, cond-mat/0407471.

[108]  R. Danchin,et al.  Littlewood–Paley Theory , 2011 .

[109]  R. Gencay,et al.  Scaling, Self-Similarity and Multifractality in FX Markets , 2002 .

[110]  J. R. Ward,et al.  Fractals and Intrinsic Time - a Challenge to Econometricians , 1999 .

[111]  C. Schinckus.  Is econophysics a new discipline? The neopositivist argument , 2010 .

[112]  Mikko Ranta,et al.  Contagion among major world markets: a wavelet approach , 2013 .

[113]  Javier Fernández-Macho,et al.  Wavelet multiple correlation and cross-correlation: A multiscale analysis of Eurozone stock markets , 2012 .

[114]  Estimating the mechanical anisotropy of the Iranian lithosphere using the wavelet coherence method , 2013 .

[115]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[116]  Francis Haeuck In,et al.  The relationship between stock returns and inflation: new evidence from wavelet analysis , 2005 .

[117]  Ramzi Nekhili,et al.  Exploring exchange rate returns at different time horizons , 2002 .

[118]  Viviana Fernandez,et al.  The CAPM and value at risk at different time-scales , 2006 .

[119]  Rameshwar Dubey,et al.  A Flexible Approach Towards Multi-frequency Re-engineering of the Moving Average Convergence Divergence Indicator , 2014 .

[120]  Mordecai Kurz,et al.  Beauty Contests Under Private Information and Diverse Beliefs: How Different? , 2007 .

[121]  Patrick M. Crowley,et al.  A Guide to Wavelets for Economists , 2007 .

[122]  R. Faff,et al.  Analysing the performance of managed funds using the wavelet multiscaling method , 2008 .

[123]  Jont B. Allen,et al.  Short term spectral analysis, synthesis, and modification by discrete Fourier transform , 1977 .

[124]  C. Torrence,et al.  A Practical Guide to Wavelet Analysis. , 1998 .

[125]  Mark J. Shensa,et al.  The discrete wavelet transform: wedding the a trous and Mallat algorithms , 1992, IEEE Trans. Signal Process..

[126]  Kin Keung Lai,et al.  Value at risk estimation with entropy-based wavelet analysis in exchange markets , 2014 .

[127]  Emmanuel Haven,et al.  De-noising option prices with the wavelet method , 2012, Eur. J. Oper. Res..

[128]  I. Daubechies.  Orthonormal bases of compactly supported wavelets II: variations on a theme , 1993 .

[129]  M. Unser,et al.  Complex B-splines , 2006 .

[130]  Haim Levy,et al.  Portfolio Performance and the Investment Horizon , 1972 .

[131]  Michael Kirchler,et al.  Partial knowledge is a dangerous thing - On the value of asymmetric fundamental information in asset markets , 2010 .

[132]  F. Scholkmann,et al.  Between-brain coherence during joint n-back task performance: A two-person functional near-infrared spectroscopy study , 2012, Behavioural Brain Research.

[133]  António Rua,et al.  International comovement of stock market returns: a wavelet analysis , 2009 .

[134]  Viviana Fernandez,et al.  Portfolio management under sudden changes in volatility and heterogeneous investment horizons , 2007 .

[135]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[136]  Edgar E. Peters.  Fractal Market Analysis: Applying Chaos Theory to Investment and Economics , 1994 .

[137]  Kee H. Chung,et al.  Time Diversification: Definitions and Some Closed-Form Solutions , 2007 .

[138]  Ramazan Gençay,et al.  Jump detection with wavelets for high-frequency financial time series , 2014 .

[139]  Hayne E. Leland,et al.  INFORMATIONAL ASYMMETRIES, FINANCIAL STRUCTURE, AND FINANCIAL INTERMEDIATION , 1977 .

[140]  François Benhmad.  Bull or bear markets: A wavelet dynamic correlation perspective , 2013 .

[141]  R. Gencay,et al.  Multiscale systematic risk , 2005 .

[142]  Maria Joana Soares,et al.  Using wavelets to decompose the time–frequency effects of monetary policy , 2008 .

[143]  Orhan Arikan,et al.  Short-time Fourier transform: two fundamental properties and an optimal implementation , 2003, IEEE Trans. Signal Process..

[144]  R. Gencay,et al.  Commodity futures hedging, risk aversion and the hedging horizon , 2013 .

[145]  Michael Graham,et al.  Integration of 22 emerging stock markets: A three-dimensional analysis , 2012 .

[146]  Gustavo Garrigós,et al.  Democracy functions of wavelet bases in general Lorentz spaces , 2011, J. Approx. Theory.

[147]  C R Thompson,et al.  Comparison of short-time Fourier, wavelet and time-domain analyses of intracardiac sounds. , 1993, Biomedical sciences instrumentation.

[148]  Bertrand Candelon,et al.  On measuring synchronization of bulls and bears: The case of East Asia , 2008 .

[149]  C. Schinckus,et al.  The Emergence of Econophysics: A New Approach in Modern Financial Theory , 2013 .

[150]  Elias M. Stein,et al.  On the functions of Littlewood-Paley, Lusin, and Marcinkiewicz , 1958 .

[151]  R. Paley.  A Remarkable Series of Orthogonal Functions (I) , 1932 .

[152]  Steven Thorley.  The Time-Diversification Controversy , 1995 .

[153]  I. Daubechies,et al.  Biorthogonal bases of compactly supported wavelets , 1992 .

[154]  J. B. Ramsey,et al.  The analysis of foreign exchange data using waveform dictionaries , 1997 .

[155]  Zhiqiang Yao,et al.  Biorthogonal nonuniform B-spline wavelets based on a discrete norm , 2009, Comput. Aided Geom. Des..