Statistics of Random Processes II Applications

The subject of these two volumes is non-linear filtering (prediction and smoothing) theory and its application to the problem of optimal estimation, control with incomplete data, information theory, and sequential testing of hypothesis. The required mathematical background is presented in the first...

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Bibliographic Details
Main Authors: Liptser, Robert S., Shiryaev, Albert N. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2001, 2001
Edition:2nd ed. 2001
Series:Stochastic Modelling and Applied Probability
Subjects:
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Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 11. Conditionally Gaussian Processes
  • 12. Optimal Nonlinear Filtering: Interpolation and Extrapolation of Components of Conditionally Gaussian Processes
  • 13. Conditionally Gaussian Sequences: Filtering and Related Problems
  • 14. Application of Filtering Equations to Problems of Statistics of Random Sequences
  • 15. Linear Estimation of Random Processes
  • 16. Application of Optimal Nonlinear Filtering Equations to some Problems in Control Theory and Estimation Theory
  • 17. Parameter Estimation and Testing of Statistical Hypotheses for Diffusion-Type Processes
  • 18. Random Point Processes: Stieltjes Stochastic Integrals
  • 19. The Structure of Local Martingales, Absolute Continuity of Measures for Point Processes, and Filtering
  • 20. Asymptotically Optimal Filtering