In this paper, the conservative Monte Carlo error estimation methods and theory developed in Geyer (1992a, Statist. Sci. 7, 473-483) are extended from univariate to multivariate Markov chain applications. A small simulation study demonstrates the feasibility of the proposed estimators.
Monte Carlo EM estimation for multivariate stable distributions
β Scribed by Nalini Ravishanker; Zuqiang Qiou
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 97 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
We describe parameter estimation for the multivariate sub-Gaussian symmetric stable distribution using Monte Carlo EM algorithm. Two augmented vectors are employed in the construction of the posterior joint density of the stable parameters. Gibbs sampling enables the generation of these vectors from their respective conditional posterior distributions and thus facilitates the expectation step of the algorithm.
π SIMILAR VOLUMES
It is shown through a simple mathematical formula that Monte Carlo computations of Bayesian xlter estimates do not demand many repetitions. A general algorithm is constructed, and its performance on dizcult problems demonstrated.