Stochastic Gradient Descent in Continuous Time: A Central Limit Theorem
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- V. Basawa, Ishwar & Prakasa Rao, B. L. S., 1980. "Asymptotic inference for stochastic processes," Stochastic Processes and their Applications, Elsevier, vol. 10(3), pages 221-254, October.
- Elerain, Ola & Chib, Siddhartha & Shephard, Neil, 2001.
"Likelihood Inference for Discretely Observed Nonlinear Diffusions,"
Econometrica, Econometric Society, vol. 69(4), pages 959-993, July.
- Elerian, O. & Chib, S. & Shephard, N., 1998. "Likelihood INference for Discretely Observed Non-linear Diffusions," Economics Papers 146, Economics Group, Nuffield College, University of Oxford.
- Ola Elerian & Siddhartha Chib & Neil Shephard, 2000. "Likelihood inference for discretely observed non-linear diffusions," OFRC Working Papers Series 2000mf02, Oxford Financial Research Centre.
- Veretennikov, A. Yu., 1997. "On polynomial mixing bounds for stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 70(1), pages 115-127, October.
- Yacine Ait-Sahalia, 2002. "Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach," Econometrica, Econometric Society, vol. 70(1), pages 223-262, January.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Mark Trede & Bernd Wilfling, 2007.
"Estimating exchange rate dynamics with diffusion processes: an application to Greek EMU data,"
Empirical Economics, Springer, vol. 33(1), pages 23-39, July.
- Wilfling, Bernd & Trede, Mark, 2004. "Estimating Exchange Rate Dynamics with Diffusion Processes: An Application to Greek EMU Data," HWWA Discussion Papers 267, Hamburg Institute of International Economics (HWWA).
- Kristensen, Dennis & Shin, Yongseok, 2012.
"Estimation of dynamic models with nonparametric simulated maximum likelihood,"
Journal of Econometrics, Elsevier, vol. 167(1), pages 76-94.
- Dennis Kristensen & Yongseok Shin, 2008. "Estimation of Dynamic Models with Nonparametric Simulated Maximum Likelihood," CREATES Research Papers 2008-58, Department of Economics and Business Economics, Aarhus University.
- Stan Hurn & J.Jeisman & K.A. Lindsay, 2006. "Teaching an old dog new tricks: Improved estimation of the parameters of SDEs by numerical solution of the Fokker-Planck equation," Stan Hurn Discussion Papers 2006-01, School of Economics and Finance, Queensland University of Technology.
- Siddhartha Chib & Michael K Pitt & Neil Shephard, 2004.
"Likelihood based inference for diffusion driven models,"
OFRC Working Papers Series
2004fe17, Oxford Financial Research Centre.
- Siddhartha Chib & Michael K Pitt & Neil Shephard, 2004. "Likelihood based inference for diffusion driven models," Economics Papers 2004-W20, Economics Group, Nuffield College, University of Oxford.
- Stan Hurn & J.Jeisman & K.A. Lindsay, 2006. "Seeing the Wood for the Trees: A Critical Evaluation of Methods to Estimate the Parameters of Stochastic Differential Equations. Working paper #2," NCER Working Paper Series 2, National Centre for Econometric Research.
- Czellar, Veronika & Karolyi, G. Andrew & Ronchetti, Elvezio, 2007.
"Indirect robust estimation of the short-term interest rate process,"
Journal of Empirical Finance, Elsevier, vol. 14(4), pages 546-563, September.
- Czellar, Veronika & Karolyi, G. Andrew & Ronchetti, Elvezio, 2005. "Indirect Robust Estimation of the Short-term Interest Rate Process," Working Paper Series 2005-4, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
- Veronika Czellar & G. Andrew Karolyi & Elvezio Ronchetti, 2007. "Indirect robust estimation of the short-term interest rate process," Post-Print hal-00463251, HAL.
- Veronika Czellar & G. Andrew Karolyi & Elvezio Ronchetti, 2005. "Indirect Robust Estimation of the Short-term interest Rate Process," FAME Research Paper Series rp135, International Center for Financial Asset Management and Engineering.
- Hermann Singer, 2011. "Continuous-discrete state-space modeling of panel data with nonlinear filter algorithms," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(4), pages 375-413, December.
- Chernov, Mikhail & Ronald Gallant, A. & Ghysels, Eric & Tauchen, George, 2003.
"Alternative models for stock price dynamics,"
Journal of Econometrics, Elsevier, vol. 116(1-2), pages 225-257.
- Mikhail Chernov & A. Ronald Gallant & Eric Ghysels & George Tauchen, 2002. "Alternative Models for Stock Price Dynamics," CIRANO Working Papers 2002s-58, CIRANO.
- Chernov, Mikhail & Gallant, A. Ronald & Ghysels, Eric & Tauchen, George, 2002. "Alternative Models for Stock Price Dynamic," Working Papers 02-03, Duke University, Department of Economics.
- Peter C.B. Phillips & Jun Yu, 2005. "A Two-Stage Realized Volatility Approach to the Estimation for Diffusion Processes from Discrete Observations," Cowles Foundation Discussion Papers 1523, Cowles Foundation for Research in Economics, Yale University.
- A. S. Hurn & J. I. Jeisman & K. A. Lindsay, 0.
"Seeing the Wood for the Trees: A Critical Evaluation of Methods to Estimate the Parameters of Stochastic Differential Equations,"
Journal of Financial Econometrics, Oxford University Press, vol. 5(3), pages 390-455.
- Stan Hurn & J.Jeisman & K.A. Lindsay, 2006. "Seeing the wood for the trees: A critical evaluation of methods to estimate the parameters of stochastic differential equations," Stan Hurn Discussion Papers 2006, School of Economics and Finance, Queensland University of Technology.
- Kristensen, Dennis, 2010.
"Pseudo-maximum likelihood estimation in two classes of semiparametric diffusion models,"
Journal of Econometrics, Elsevier, vol. 156(2), pages 239-259, June.
- Dennis Kristensen, 2009. "Pseudo-Maximum Likelihood Estimation in Two Classes of Semiparametric Diffusion Models," CREATES Research Papers 2009-41, Department of Economics and Business Economics, Aarhus University.
- Christopher S. Jones, 2003. "Nonlinear Mean Reversion in the Short-Term Interest Rate," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 793-843, July.
- Bandi, Federico M. & Phillips, Peter C.B., 2007.
"A simple approach to the parametric estimation of potentially nonstationary diffusions,"
Journal of Econometrics, Elsevier, vol. 137(2), pages 354-395, April.
- Federico M. Bandi & Peter C.B. Phillips, 2005. "A Simple Approach to the Parametric Estimation of Potentially Nonstationary Diffusions," Cowles Foundation Discussion Papers 1522, Cowles Foundation for Research in Economics, Yale University.
- Peter C.B.Phillips & Jun Yu, "undated".
"Maximum Likelihood and Gaussian Estimation of Continuous Time Models in Finance,"
Working Papers
CoFie-08-2009, Singapore Management University, Sim Kee Boon Institute for Financial Economics.
- Peter C.B. Phillips & Jun Yu, 2007. "Maximum Likelihood and Gaussian Estimation of Continuous Time Models in Finance," Cowles Foundation Discussion Papers 1597, Cowles Foundation for Research in Economics, Yale University.
- Peter C. B. Phillips & Jun Yu, 2006. "Maximum Likelihood and Gaussian Estimation of Continuous Time Models in Finance," Development Economics Working Papers 22471, East Asian Bureau of Economic Research.
- Filipović, Damir & Mayerhofer, Eberhard & Schneider, Paul, 2013.
"Density approximations for multivariate affine jump-diffusion processes,"
Journal of Econometrics, Elsevier, vol. 176(2), pages 93-111.
- Damir FILIPOVIC & Eberhard BERHARD & Paul SCHNEIDER, 2011. "Density Approximations For Multivariate Affine Jump-Diffusion Processes," Swiss Finance Institute Research Paper Series 11-20, Swiss Finance Institute.
- Damir Filipovi'c & Eberhard Mayerhofer & Paul Schneider, 2011. "Density Approximations for Multivariate Affine Jump-Diffusion Processes," Papers 1104.5326, arXiv.org, revised Oct 2011.
- Konstantinos Kalogeropoulos & Gareth O. Roberts & Petros Dellaportas, 2007.
"Inference for stochastic volatility models using time change transformations,"
Papers
0711.1594, arXiv.org.
- Kalogeropoulos, Konstantinos & Roberts, Gareth O. & Dellaportas, Petros, 2010. "Inference for stochastic volatility models using time change transformations," LSE Research Online Documents on Economics 31421, London School of Economics and Political Science, LSE Library.
- Kalogeropoulos, Konstantinos & Roberts, Gareth O. & Dellaportas, Petros, 2007. "Inference for stochastic volatility model using time change transformations," MPRA Paper 5697, University Library of Munich, Germany.
- Griffin, J.E. & Steel, M.F.J., 2006.
"Inference with non-Gaussian Ornstein-Uhlenbeck processes for stochastic volatility,"
Journal of Econometrics, Elsevier, vol. 134(2), pages 605-644, October.
- James E. Griffin & Mark F.J. Steel, 2002. "Inference With Non-Gaussian Ornstein-Uhlenbeck Processes for Stochastic Volatility," Econometrics 0201002, University Library of Munich, Germany, revised 04 Apr 2003.
- Michael Sørensen, 2008. "Parametric inference for discretely sampled stochastic differential equations," CREATES Research Papers 2008-18, Department of Economics and Business Economics, Aarhus University.
- Kristensen, Dennis, 2004.
"Estimation in two classes of semiparametric diffusion models,"
LSE Research Online Documents on Economics
24739, London School of Economics and Political Science, LSE Library.
- Dennis Kristensen, 2004. "Estimation in Two Classes of Semiparametric Diffusion Models," FMG Discussion Papers dp500, Financial Markets Group.
- Radu Tunaru, 2015. "Model Risk in Financial Markets:From Financial Engineering to Risk Management," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9524, April.
More about this item
NEP fields
This paper has been announced in the following NEP Reports:- NEP-CMP-2017-10-22 (Computational Economics)
- NEP-CTA-2017-10-22 (Contract Theory and Applications)
- NEP-ECM-2017-10-22 (Econometrics)
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1710.04273. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.