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Parametric estimation of hidden Markov models by least squares type estimation and deconvolution
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- This paper develops a simple and computationally efficient parametric approach to the estimation of general hidden Markov models (HMMs). For non-Gaussian HMMs, the computation of the maximum likelihood estimator (MLE) involves a high-dimensional integral that has no analytical solution and can be difficult to approach accurately. We develop a new alternative method based on the theory of estimating functions and a deconvolution strategy. Our procedure requires the same assumptions as the MLE and deconvolution estimators. We provide theoretical guarantees about the performance of the resulting estimator; its consistency and asymptotic normality are established. This leads to the construction of confidence intervals. Monte Carlo experiments are investigated and compared with the MLE. Finally, we illustrate our approach using real data for ex-ante interest rate forecasts.
- Subjects :
- Statistics and Probability
Contrast func-tion
Unobserved components model 1
hidden Markov models
least square esti- mation
deconvolution
Expected Inflation
Statistics::Computation
[STAT]Statistics [stat]
Measurement error
Unobserved components model
parametric inference
Contrast function
Stochastic volatility
Statistics, Probability and Uncertainty
least square estimation
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....28daadc31b1efc94a6f41011ddd6297e