An inequality for rational functions with applications to some statistical estimation problems

  • Authors:
  • P. S. Gopalakrishnan;D. Kanevsky;A. Nadas;D. Nahamoo

  • Affiliations:
  • IBM Thomas J. Watson Res. Center, Yorktown Heights, NY;-;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

Quantified Score

Hi-index 754.84

Visualization

Abstract

The well-known Baum-Eagon inequality (1967) provides an effective iterative scheme for finding a local maximum for homogeneous polynomials with positive coefficients over a domain of probability values. However, in many applications the goal is to maximize a general rational function. In view of this, the Baum-Eagon inequality is extended to rational functions. Some of the applications of this inequality to statistical estimation problems are briefly described