Chapter 3. Mathematical Models of Linguistic Structure

  1. Stephen E. Levinson

Published Online: 21 NOV 2005

DOI: 10.1002/0470020911.ch3

Mathematical Models for Speech Technology

Mathematical Models for Speech Technology

How to Cite

Levinson, S. E. (2005) Mathematical Models of Linguistic Structure, in Mathematical Models for Speech Technology, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470020911.ch3

Author Information

  1. University of Illinois at Urbana-Champaign, USA

Publication History

  1. Published Online: 21 NOV 2005
  2. Published Print: 27 JAN 2005

ISBN Information

Print ISBN: 9780470844076

Online ISBN: 9780470020913



  • optimization techniques;
  • quasi-Newton techniques;
  • Kuhn–Tucker requirement;
  • Baum–Welch algorithm;
  • scaling technique;
  • left-to-right Markov modeling;
  • Estimation Algorithm;
  • Gaussian autoregressive;
  • auxiliary function


This chapter contains sections titled:

  • Probabilistic functions of a discrete Markov process

  • Formal grammars and abstract automata