AN ERGODIC CAPITALIZATION PROCESS.

Abstract

A stochastic process is defined and characterized as a negative exponential renewal process representing the capitalized value of a stream of money constant payments occurring at continuous randomly varying time intervals. The analysis consists of a complete description of the asymptotic properties of very generalized distributions as the rate of discount approaches zero. The main result is a central limit theorem demonstrating that the standardized distribution of the capitalized stream converges on the unit normal as the discount rate approaches zero in the limit. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0711460

Entities

People

  • Edmund H. Mantell

Organizations

  • Institute for Defense Analyses

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Intervals
  • Mathematics
  • Stochastic Processes
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Government Contracting/Procurement.
  • Statistical inference.
  • Systems Analysis and Design