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Back to the Future: Generating Moment Implications for Continuous-Time Markov Processes

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Lars Peter Hansen
Jose Alexandre Scheinkman

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Abstract

Continuous-time Markov processes can be characterized conveniently by their infinitesimal generators. For such processes there exist forward and reverse-time generators. We show how to use these generators to construct moment conditions implied by stationary Markov processes. Generalized method of moments estimators and tests can be constructed using these moment conditions. The resulting econometric methods are designed to be applied to discrete-time data obtained by sampling continuous-time Markov processes.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0141.

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Date of creation: Sep 1993
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Handle: RePEc:nbr:nberte:0141

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C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General

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  1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  2. Hansen, Lars Peter, 1985. "A method for calculating bounds on the asymptotic covariance matrices of generalized method of moments estimators," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 203-238. [Downloadable!] (restricted)
  3. Krugman, Paul R, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, MIT Press, vol. 106(3), pages 669-82, August. [Downloadable!] (restricted)
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  4. Hansen, Lars Peter & Sargent, Thomas J, 1983. "The Dimensionality of the Aliasing Problem in Models with Rational Spectral Densities," Econometrica, Econometric Society, vol. 51(2), pages 377-87, March. [Downloadable!] (restricted)
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  5. Phillips, P. C. B., 1973. "The problem of identification in finite parameter continuous time models," Journal of Econometrics, Elsevier, vol. 1(4), pages 351-362, December. [Downloadable!] (restricted)
  6. Duffie, Darrell & Singleton, Kenneth J, 1993. "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, Econometric Society, vol. 61(4), pages 929-52, July. [Downloadable!] (restricted)
  7. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  8. Gallant, A Ronald & Nychka, Douglas W, 1987. "Semi-nonparametric Maximum Likelihood Estimation," Econometrica, Econometric Society, vol. 55(2), pages 363-90, March. [Downloadable!] (restricted)
  9. Bierens, Herman J, 1990. "A Consistent Conditional Moment Test of Functional Form," Econometrica, Econometric Society, vol. 58(6), pages 1443-58, November. [Downloadable!] (restricted)
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  10. Scheinkman, Jose A, 1990. "Nonlinearities in Economic Dynamics," Economic Journal, Royal Economic Society, vol. 100(400), pages 33-48, Supplemen. [Downloadable!] (restricted)
  11. Robinson, P M, 1976. "The Estimation of Linear Differential Equations with Constant Coefficients," Econometrica, Econometric Society, vol. 44(4), pages 751-64, July. [Downloadable!] (restricted)
  12. Hua He., 1990. "Moment Approximation and Estimation of Diffusion Models of Asset Prices," Research Program in Finance Working Papers RPF-193, University of California at Berkeley.
  13. Maurice Obstfeld & Alan C. Stockman, 1985. "Exchange-Rate Dynamics," NBER Working Papers 1230, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. Chamberlain, Gary, 1992. "Efficiency Bounds for Semiparametric Regression," Econometrica, Econometric Society, vol. 60(3), pages 567-96, May. [Downloadable!] (restricted)
  15. Newey, W.K., 1990. "Efficient Estimation Of Semiparametric Models Via Moment Restrictions," Papers 352, Princeton, Department of Economics - Econometric Research Program.
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