BRANCHING PROCESSES

Abstract

This paper is concerned with a simple mathematical model for a branching stochastic process. Using the language of family trees we may illustrate the process as follows. The probability that a man has exactly r sons is P sub r, r = 0,1,2,... Each of his sons (who together make up the first generation) has the same probabilities of having a given number of sons of his own; the second generation have again the same probabilities, and so on. Let Z sub n be the number of individuals in the nth generation. The probability distribution of Z sub n is studied.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 29, 1948
Accession Number
AD0603799

Entities

People

  • T. E. Harris

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coefficients
  • Demographic Cohorts
  • Difference Equations
  • Differential Equations
  • Equations
  • Families (Human)
  • Integrals
  • Mathematical Models
  • Models
  • Numbers
  • Particles
  • Polynomials
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Military Science