Stochastic Control with Partial Observation and Approximation Techniques.

Abstract

Two different approaches have been investigated for the MLE of partially observed diffusions. Some formulas given have been clarified, and it has been shown that smoothing is necessary to make the EM algorithm approach efficient. On the other hand, formula have been given in terms of SPDE for the computation of the original log-likelihood ratio and its gradient. (As might have been noticed, expressions related to the direct approach are given in terms of unnormalized conditional densities, whereas in the EM algorithm approach normalized conditional densities have been used. As a consequence, it does not appear so clearly, except for some particular cases, already considered, that the EM algorithm is faster than the direct approach. This should be investigated on numerical examples.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA191473

Entities

Organizations

  • Institut National de Recherche en Informatique et en Automatique

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Calculus
  • Calculus Of Variations
  • Coefficients
  • Computations
  • Differential Equations
  • Equations
  • Filters
  • Filtration
  • Kalman Filters
  • Linear Filtering
  • Observation
  • Observers
  • Partial Differential Equations
  • Probability
  • Stochastic Control
  • Stochastic Processes

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Statistical inference.