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Articles in Scholarly Journals [Incomplete List]
Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation☆
Applied Mathematics and Computation, vol. 191, no. 1, pp. 12–20, 2007
Numerical approximation of Lévy–Feller diffusion equation and its probability interpretation☆
Journal of Computational and Applied Mathematics, vol. 206, no. 2, pp. 1098–1115, 2007
Chaos game representation of the Dst index and prediction of geomagnetic storm events
Chaos, Solitons & Fractals, vol. 31, no. 3, pp. 736–746, 2007
Approximation of the Lévy–Feller advection–dispersion process by random walk and finite difference method
Journal of Computational Physics, vol. 222, no. 1, pp. 57–70, 2007
Statistical inference using higher-order information?
Journal of Multivariate Analysis, vol. 98, no. 4, pp. 706–742, 2007
Minimum contrast estimation of random processes based on information of second and third orders?
Journal of Statistical Planning and Inference, vol. 137, no. 4, pp. 1302–1331, 2007
Cluster protein structures using recurrence quantification analysis on coordinates of alpha-carbon atoms of proteins
Physics Letters A, vol. 368, no. 3-4, pp. 314–319, 2007
Binary market models with memory?
Statistics & Probability Letters, vol. 77, no. 3, pp. 256–264, 2007
Correlations between designability and various structural characteristics of protein lattice models
The Journal of Chemical Physics, vol. 126, no. 19, p. 195101, 2007
Prediction of Fractional Brownian Motion-Type Processes
Stochastic Analysis and Applications, vol. 25, no. 3, pp. 641–666, 2007
Spatial and Spatiotemporal Karhunen-Loève-Type Representations on Fractal Domains
Stochastic Analysis and Applications, vol. 24, no. 1, pp. 195–219, 2006
A finite volume simulation model for saturated–unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia
Applied Mathematical Modelling, vol. 30, no. 4, pp. 352–366, 2006
Spectral Properties of Burgers and KPZ Turbulence
Journal of Statistical Physics, vol. 122, no. 5, pp. 949–974, 2006
Clustering of protein structures using hydrophobic free energy and solvent accessibility of proteins
Physical Review E, vol. 73, no. 3, 2006
Linear filtering of systems with memory and application to finance
Journal of Applied Mathematics and Stochastic Analysis, vol. 2006, Article ID 53104, 26 pages, 2006
Fractional kinetic equations driven by Gaussian or infinitely divisible noise
Advances in Applied Probability, vol. 37, no. 2, pp. 366–392, 2005
Phylogeny of Prokaryotes and Chloroplasts Revealed by a Simple Composition Approach on All Protein Sequences from Complete Genomes Without Sequence Alignment
Journal of Molecular Evolution, vol. 60, no. 4, pp. 538–545, 2005
Multifractal characterization of Hong Kong air quality data
Environmetrics, vol. 16, no. 1, pp. 1–12, 2005
Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity
Applied Mathematical Modelling, vol. 29, no. 9, pp. 852–870, 2005
A fractal method to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation
Journal of Theoretical Biology, vol. 232, no. 4, pp. 559–567, 2005
Diffusion on multifractals
Nonlinear Analysis, vol. 63, no. 5-7, pp. e2043–e2056, 2005
Multifractal modeling of magnetic storms via symbolic dynamics analysis
Journal of Geophysical Research, vol. 110, no. A8, 2005
Estimation and Simulation of the Riesz-Bessel Distribution
Communications in Statistics: Theory and Methods, vol. 34, no. 9-10, pp. 1881–1897, 2005
Financial Markets with Memory I: Dynamic Models
Stochastic Analysis and Applications, vol. 23, no. 2, pp. 275–300, 2005
Financial Markets with Memory II: Innovation Processes and Expected Utility Maximization
Stochastic Analysis and Applications, vol. 23, no. 2, pp. 301–328, 2005
Fractional Generalized Random Fields of Variable Order
Stochastic Analysis and Applications, vol. 22, no. 3, pp. 775–799, 2004
On a class of minimum contrast estimators for fractional stochastic processes and fields
Journal of Statistical Planning and Inference, vol. 123, no. 1, pp. 161–185, 2004
Fractal analysis of measure representation of large proteins based on the detailed HP model
Physica A: Statistical and Theoretical Physics, vol. 337, no. 1-2, pp. 171–184, 2004
Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses
Journal of Theoretical Biology, vol. 226, no. 3, pp. 341–348, 2004
Numerical solution of the space fractional Fokker–Planck equation
Journal of Computational and Applied Mathematics, vol. 166, no. 1, pp. 209–219, 2004
Fractal tidal waves in coastal aquifers induced both anthropogenically and naturally
Environmental Modelling & Software, vol. 19, no. 12, pp. 1125–1130, 2004
The Riesz?Bessel Fractional Diffusion Equation
Applied Mathematics and Optimization, vol. 49, no. 3, pp. 241–264, 2004
Limiting distributions for minimum relative entropy calibration
Journal of Applied Probability, vol. 41, no. 1, pp. 35–50, 2004
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependence
Australian
New Zealand Journal of Statistics, vol. 46, no. 2, pp. 275–296, 2004
Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 7, no. 3, p. 395, 2004
Multifractal and correlation analyses of protein sequences from complete genomes
Physical Review E, vol. 68, no. 2, 2003
International Journal of Modern Physics B [Condensed Matter Physics; Statistical Physics; Applied Physics], vol. 17, no. 22 & 24, p. 4367, 2003
The genomic tree of living organisms based on a fractal model
Physics Letters A, vol. 317, no. 3-4, pp. 293–302, 2003
Fractional-order regularization and wavelet approximation to the inverse estimation problem for random fields
Journal of Multivariate Analysis, vol. 85, no. 1, pp. 192–216, 2003
Harmonic analysis of random fractional diffusion–wave equations
Applied Mathematics and Computation, vol. 141, no. 1, pp. 77–85, 2003
Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base
Environmental Modelling & Software, vol. 18, no. 10, pp. 937–942, 2003
Journal of Statistical Physics, vol. 111, no. 3/4, pp. 789–814, 2003
Acta Applicandae Mathematicae, vol. 79, no. 1/2, pp. 115–128, 2003
Fractional Generalized Random Fields on Bounded Domains
Stochastic Analysis and Applications, vol. 21, no. 2, pp. 465–492, 2003
Origin and Phylogeny of Chloroplasts Revealed by a Simple Correlation Analysis of Complete Genomes
Molecular Biology and Evolution, vol. 21, no. 1, pp. 200–206, 2003
Stochastic Models of Porosity in Heterogeneous Aquifers
Systems Analysis Modelling Simulation, vol. 42, no. 4, pp. 585–596, 2002
Statistical estimation of nonstationary Gaussian processes with long-range dependence and intermittency
Stochastic Processes and their Applications, vol. 99, no. 2, pp. 295–321, 2002
Maximum likelihood estimation of the fractional differencing parameter in an ARFIMA model using wavelets
Mathematics and Computers in Simulation, vol. 59, no. 1-3, pp. 153–161, 2002
Probability Theory and Related Fields, vol. 124, no. 3, pp. 381–408, 2002
Recognition of an organism from fragments of its complete genome
Physical Review E, vol. 66, no. 3, 2002
Dynamic models of long-memory processes driven by Lévy noise
Journal of Applied Probability, vol. 39, no. 4, pp. 730–747, 2002
Measure representation and multifractal analysis of complete genomes
Physical Review E, vol. 64, no. 3, 2001
Fractals [Complex Geometry, Patterns, and Scaling in Nature and Society], vol. 9, no. 3, p. 329, 2001
Parameter Estimation of Stochastic Processes with Long-range Dependence and Intermittency
Journal of Time Series Analysis, vol. 22, no. 5, pp. 517–535, 2001
Semiparametric Approximation Methods in Multivariate Model Selection
Journal of Complexity, vol. 17, no. 4, pp. 754–772, 2001
Semimartingale representation of fractional Riesz-Bessel motion
Finance and Stochastics, vol. 5, no. 1, pp. 83–101, 2001
Stochastic fractional-order differential models with fractal boundary conditions
Statistics & Probability Letters, vol. 54, no. 1, pp. 47–60, 2001
Scaling limit solution of a fractional Burgers equation
Stochastic Processes and their Applications, vol. 93, no. 2, pp. 285–300, 2001
Time series model based on global structure of complete genome
Chaos,Solitons & Fractals, vol. 12, no. 10, pp. 1827–1834, 2001
Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome
Physica A: Statistical Mechanics and its Applications, vol. 301, no. 1-4, pp. 351–361, 2001
Journal of Statistical Physics, vol. 104, no. 5/6, pp. 1349–1387, 2001
Journal of Physics A: Mathematical and General, vol. 34, no. 36, pp. 7127–7139, 2001
DIFFERENTIAL REPRESENTATION AND MARKOV PROPERTY OF GENERALIZED RANDOM FIELDS
Stochastic Analysis and Applications, vol. 19, no. 4, pp. 481–498, 2001
Correlation property of length sequences based on global structure of the complete genome
Physical Review E, vol. 63, no. 1, 2000
Scaling laws for fractional diffusion-wave equations with singular data
Statistics & Probability Letters, vol. 48, no. 3, pp. 239–252, 2000
A central limit theorem for a random quadratic form of strictly stationary processes
Statistics & Probability Letters, vol. 49, no. 1, pp. 69–79, 2000
Multifractal analysis of Hong Kong air quality data
Environmetrics, vol. 11, no. 2, pp. 139–149, 2000
Fractional diffusion and fractional heat equation
Advances in Applied Probability, vol. 32, no. 4, pp. 1077–1099, 2000
Local Linear Kernel Regression with Long-Range Dependent Errors
Australian
New Zealand Journal of Statistics, vol. 41, no. 4, pp. 463–479, 1999
Estimated Generalized Least Squares for Random Coefficient Regression Models
Scandinavian Journal of Statistics, vol. 26, no. 1, pp. 31–46, 1999
A parabolic stochastic differential equation with fractional Brownian motion input
Statistics & Probability Letters, vol. 41, no. 4, pp. 337–346, 1999
A splitting method for stochastic goursat problem
Stochastic Analysis and Applications, vol. 17, no. 3, pp. 315–326, 1999
Non-Gaussian scenarios for the heat equation with singular initial conditions
Stochastic Processes and their Applications, vol. 84, no. 1, pp. 91–114, 1999
Semiparametric regression under long-range dependent errors
Journal of Statistical Planning and Inference, vol. 80, no. 1-2, pp. 37–57, 1999
Possible long-range dependence in fractional random fields
Journal of Statistical Planning and Inference, vol. 80, no. 1-2, pp. 95–110, 1999
Stochastic models for fractal processes
Journal of Statistical Planning and Inference, vol. 80, no. 1-2, pp. 123–135, 1999
No-cointegration test based on fractional differencing: Some Monte Carlo results
Journal of Statistical Planning and Inference, vol. 80, no. 1-2, pp. 257–267, 1999
Long-range dependence and second-order intermittency of two dimensional turbulence
Environmental Modelling and Software, vol. 13, no. 3-4, pp. 233–238, 1998
A reactive state-space model for prediction of urban air pollution
Environmental Modelling and Software, vol. 13, no. 3-4, pp. 239–246, 1998
Linear filtering with fractional brownian motion
Stochastic Analysis and Applications, vol. 16, no. 5, pp. 907–914, 1998
Strong convergence of stochastic taylor expansions of two-parameter random fields
Stochastic Analysis and Applications, vol. 15, no. 2, pp. 137–149, 1997
Stochastic models for characterisation and prediction of time series with long-range dependence and fractality
Environmental Modelling & Software, vol. 12, no. 1, pp. 67–73, 1997
Spatial variability of sydney air quality by cumulative semivariogram
Atmospheric Environment, vol. 31, no. 24, pp. 4073–4080, 1997
Fractals [Complex Geometry, Patterns, and Scaling In Nature and Society], vol. 4, no. 1, p. 35, 1996
Scaling theorems for zero crossings of bandlimited signals
IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 18, no. 3, pp. 309–320, 1996
Riemann Function Approach to Unbiased Filtering and Prediction
Journal of Mathematical Analysis and Applications, vol. 192, no. 1, pp. 96–116, 1995
Unbiased Wiener filtering: Nonstationary processes
Signal Processing, vol. 25, no. 1, pp. 51–68, 1991
Markovian representation and prediction of stochastic processes with time-varying rational spectrum
Signal Processing, vol. 24, no. 2, pp. 137–147, 1991
Nonlinear least squares and maximum likelihood estimation of a heteroscedastic regression model
Stochastic Processes and their Applications, vol. 29, no. 2, pp. 317–333, 1988
Extremal problems for functions of positive real part with a constraint and applications
Journal of Mathematical Analysis and Applications, vol. 126, no. 1, pp. 250–268, 1987
Radii of starlikeness and convexity for certain classes of analytic functions
Journal of Mathematical Analysis and Applications, vol. 64, no. 1, pp. 146–158, 1978