Computation of Counting Distributions Arising from a Single-Stage Multiplicative Process.

Abstract

The cumulative distribution of the number of secondary electrons in a single-stage photomultiplier is calculated by numerically integrating the inversion integral for its probability generating function along a suitably chosen contour. A residue series applicable in certain cases is also presented. Saddlepoint approximations to the contour integral are described, which are the more accurate, the greater the numbers of secondaries. Recurrent relations are developed for computing values of the distribution for purposes of comparison. Computation of the Neyman Type-A distribution is treated as a limiting case. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 02, 1983
Accession Number
ADA131480

Entities

People

  • Carl W. Helstrom
  • Stephen O. Rice

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • Binomials
  • Coefficients
  • Computations
  • Computer Science
  • Contour Integrals
  • Electrical Engineering
  • Electrons
  • Frequency
  • Integral Equations
  • Integrals
  • Numerical Integration
  • Precision
  • Probability
  • Probability Distributions
  • Random Variables
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Aerodynamics.
  • Electronics Engineering
  • Statistical inference.

Technology Areas

  • Microelectronics