Analytical Derivatives for Markov Switching Models
AbstractThis paper derives analytical gradients for a broad class of regime- switching models with Markovian state-transition probabilities. Such models are usually estimated by maximum likelihood methods, which require the derivatives of the likelihood function with respect to the parameter vector. These gradients are usually calculated by means of numerical techniques. The paper shows that analytical gradients considerably speed up maximum-likelihood estimation with no loss in accuracy. A sample program listing is included.
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Bibliographic InfoPaper provided by EconWPA in its series GE, Growth, Math methods with number 9508001.
Length: 24 pages
Date of creation: 28 Aug 1995
Date of revision:
Note: 24 printed pages, compressed PostScript file. Other recent Bank of Canada working papers are listed on the last page of this report.
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Other versions of this item:
- Gable, Jeff & van Norden, Simon & Vigfusson, Robert, 1997. "Analytical Derivatives for Markov Switching Models," Computational Economics, Society for Computational Economics, vol. 10(2), pages 187-94, May.
- Jeff Gable & Simon van Norden & Robert Vigfusson, . "Analytical Derivatives for Markov Switching Models," Working Papers 95-7, Bank of Canada.
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- D9 - Microeconomics - - Intertemporal Choice and Growth
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- Ryan SULEIMANN, 2003. "New Technology Stock Market Indexes Contagion: A VAR-dccMVGARCH Approach," Econometrics 0307003, EconWPA, revised 18 Jul 2003.
- Simon van Norden & Robert Vigfusson, 1996.
"Regime-Switching Models: A Guide to the Bank of Canada Gauss Procedures,"
- Van Norden, S. & Vigfusson, R., 1996. "Regime-Switching Models, A guide to the Bank of Canada Gauss Procedures," Working Papers 96-3, Bank of Canada.
- Ryan SULEIMANN, 2003. "The Contagion Effect Between the Volatilities of the NASDAQ-100 and the IT.CA :A Univariate and A Bivariate Switching Approach," Econometrics 0307002, EconWPA, revised 18 Jul 2003.
- Murray, J. & Van Norden, S. & Vigfusson, R., 1996. "Excess Volatility and Speculative Bubbles in the Canadian Dollar: Real of Imagined?," Technical Reports 76, Bank of Canada.
- Yang, Minxian, 2001. "Closed-form likelihood function of Markov-switching models," Economics Letters, Elsevier, vol. 70(3), pages 319-326, March.
- Ryan SULEIMANN, 2003. "Should Stock Market Indexes Time Varying Correlations Be Taken Into Account? A Conditional Variance Multivariate Approach," Econometrics 0307004, EconWPA, revised 18 Jul 2003.
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