On a Theory of Rates

Abstract

While the concept of Rate is common to many disciplines, there exists no consistent and general mathematical theory of rates in any discipline. In this reports, a general theory of rates is developed as a transformation of a discrete or punctuated representation into a continuous representation using functional theory. Stochastic events are represented using Renewal Theory and Order Statistics. Examples of several rate differential equations are presented, in some cases differing considerably from their equivalent and ad hoc developments.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2005
Accession Number
ADA432141

Entities

People

  • Bruce W. Fowler

Organizations

  • United States Army Research, Development and Engineering Command

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Attrition
  • Business Administration
  • Data Science
  • Delta Functions
  • Differential Equations
  • Equations
  • Information Science
  • Integrals
  • Lanchester Equations
  • Mathematics
  • New York
  • Order Statistics
  • Probability
  • Random Variables
  • Statistics
  • Stochastic Processes
  • United States Military Academy

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design