The initial efficiency of investment for the general market

Elza Erkip, Thomas M. Cover

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate how one invests in the stock market X when there is a rate constraint on the side information V. The doubling function Δ(R) is the maximum increase in the doubling rate when V is described to the investor at rate R. The initial efficiency Δ'(0) is the largest possible increase in the doubling function per bit of description. We introduce the linearized maximal correlation and use it to provide a lower bound for the initial efficiency. We also show that the initial efficiency is bounded above by the square of the Hirschfeld-Gebelein-Renyi maximal correlation between the side information V and the market X. We can use these bounds to find the initial efficiency for V=X and for the horse race market.

Original languageEnglish (US)
Title of host publicationProceedings - 1997 IEEE International Symposium on Information Theory, ISIT 1997
Number of pages1
DOIs
StatePublished - 1997
Event1997 IEEE International Symposium on Information Theory, ISIT 1997 - Ulm, Germany
Duration: Jun 29 1997Jul 4 1997

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095

Conference

Conference1997 IEEE International Symposium on Information Theory, ISIT 1997
Country/TerritoryGermany
CityUlm
Period6/29/977/4/97

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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