Langevin diffusions on the torus: estimation and applications

[1]  G. Choe.  Numerical Solution of Stochastic Differential Equations , 2016 .

[2]  Dominique Dehay,et al.  Parameter maximum likelihood estimation problem for time periodic modulated drift Ornstein Uhlenbeck processes , 2015 .

[3]  Mogens Bladt,et al.  Simulation of multivariate diffusion bridges , 2014 .

[4]  Kanti V. Mardia,et al.  Some Fundamental Properties of a Multivariate von Mises Distribution , 2011, 1109.6042.

[5]  P. Daas.  DISCUSSION PAPER , 2014 .

[6]  Kresten Lindorff-Larsen,et al.  Variational Optimization of an All-Atom Implicit Solvent Force Field to Match Explicit Solvent Simulation Data. , 2013, Journal of chemical theory and computation.

[7]  Cheng-shi Liu,et al.  Ornstein-Uhlenbeck process, Cauchy process, and Ornstein-Uhlenbeck-Cauchy process on a circle , 2013, Appl. Math. Lett..

[8]  P. Jupp,et al.  A drifting Markov process on the circle, with physical applications , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[9]  Giovanna Jona-Lasinio,et al.  Spatial analysis of wave direction data using wrapped Gaussian processes , 2012, 1301.1446.

[10]  Michael Sørensen,et al.  Importance sampling techniques for estimation of diffusion models , 2012 .

[11]  Michael Sørensen,et al.  Estimating functions for diffusion-type processes , 2012 .

[12]  Kanti V. Mardia,et al.  Statistics of Bivariate von Mises Distributions , 2012 .

[13]  S. R. Jammalamadaka,et al.  Directional Statistics, I , 2011 .

[14]  Paul Fearnhead,et al.  Markov Chain Monte Carlo for Exact Inference for Diffusions , 2011, 1102.5541.

[15]  Y. Gliklikh.  Stochastic Analysis on Manifolds , 2011 .

[16]  Shogo Kato.  A Markov process for circular data , 2010 .

[17]  H. Dehling,et al.  Drift estimation for a periodic mean reversion process , 2010 .

[18]  Karline Soetaert,et al.  Solving Differential Equations in R , 2012 .

[19]  Gareth O. Roberts,et al.  Importance sampling techniques for estimation of diffusion models , 2009 .

[20]  K. I. '. Hout,et al.  ADI finite difference schemes for option pricing in the Heston model with correlation , 2008, 0811.3427.

[21]  T. McMillen.  Simulation and Inference for Stochastic Differential Equations: With R Examples , 2008 .

[22]  Stefano M. Iacus,et al.  Simulation and Inference for Stochastic Differential Equations: With R Examples , 2008 .

[23]  Kanti V. Mardia,et al.  A multivariate von mises distribution with applications to bioinformatics , 2008 .

[24]  S. Iacus.  SDE : simulation and inference for stochastic differential equations , 2008 .

[25]  Michael Sorensen,et al.  Efficient Estimation for Ergodic Diffusions Sampled at High Frequency , 2007 .

[26]  Michael Sorensen,et al.  DIFFUSION MODELS FOR EXCHANGE RATES IN A TARGET ZONE , 2007 .

[27]  G. Roberts,et al.  Retrospective exact simulation of diffusion sample paths with applications , 2006 .

[28]  P. Fearnhead,et al.  Exact and computationally efficient likelihood‐based estimation for discretely observed diffusion processes (with discussion) , 2006 .

[29]  Arthur Pewsey,et al.  A Family of Symmetric Distributions on the Circle , 2005 .

[30]  Inderjit S. Dhillon,et al.  Clustering on the Unit Hypersphere using von Mises-Fisher Distributions , 2005, J. Mach. Learn. Res..

[31]  E A Codling,et al.  Calculating spatial statistics for velocity jump processes with experimentally observed reorientation parameters , 2005, Journal of mathematical biology.

[32]  D. Stroock.  An Introduction to the Analysis of Paths on a Riemannian Manifold , 2005 .

[33]  T. Frank.  Nonlinear Fokker-Planck Equations: Fundamentals and Applications , 2004 .

[34]  G. Roberts,et al.  Langevin Diffusions and Metropolis-Hastings Algorithms , 2002 .

[35]  S. R. Jammalamadaka,et al.  Topics in Circular Statistics , 2001 .

[36]  Michael Sørensen,et al.  Simplified Estimating Functions for Diffusion Models with a High‐dimensional Parameter , 2001 .

[37]  J. Steele.  Stochastic Calculus and Financial Applications , 2000 .

[38]  Mathieu Kessler,et al.  Simple and Explicit Estimating Functions for a Discretely Observed Diffusion Process , 2000 .

[39]  Michael Sørensen,et al.  Estimating equations based on eigenfunctions for a discretely observed diffusion process , 1999 .

[40]  Tohru Ozaki,et al.  A statistical method of estimation and simulation for systems of stochastic differential equations , 1998 .

[41]  H. N.A.,et al.  A Biased Random Walk Model for the Trajectories of Swimming Micro-organisms , 1997 .

[42]  Sean McKee,et al.  An Alternating Direction Implicit Scheme for Parabolic Equations with Mixed Derivative and Convective Terms , 1996 .

[43]  J. W. Thomas.  Numerical Partial Differential Equations: Finite Difference Methods , 1995 .

[44]  D. Bernstein,et al.  Some explicit formulas for the matrix exponential , 1993, IEEE Trans. Autom. Control..

[45]  M. Stein.  The Analysis of Directional Time Series: Applications to Wind Speed and Direction , 1991 .

[46]  M. Émery.  Stochastic Calculus in Manifolds , 1989 .

[47]  D. Mellor,et al.  The Analysis of Directional Time Series: Applications to Wind Speed and Direction , 1989 .

[48]  B. Øksendal.  Stochastic differential equations : an introduction with applications , 1987 .

[49]  D. Florens-zmirou,et al.  Estimation of the coefficients of a diffusion from discrete observations , 1986 .

[50]  Tohru Ozaki,et al.  Statistical Identification of Storage Models with Application to Stochastic Hydrology , 1985 .

[51]  Thomas E. Wehrly,et al.  Bivariate models for dependence of angular observations and a related Markov process , 1980 .

[52]  L. Rogers,et al.  Diffusions, Markov processes, and martingales , 1979 .

[53]  J. Kent.  Time-reversible diffusions , 1978, Advances in Applied Probability.

[54]  P. Kloeden,et al.  Numerical Solution of Stochastic Differential Equations , 1992 .

[55]  K. Mardia.  Statistics of Directional Data , 1972 .

[56]  J. Jokipii.  Discussion of paper by K. V. S. K. Nathan and J. A. Van Allen, ''Diffusion of solar cosmic rays and the power spectrum of the interplanetary magnetic field.'' , 1968 .

[57]  A. Kolmogoroff,et al.  Zur Umkehrbarkeit der statistischen Naturgesetze , 1937 .