Accession Number : ADA131480

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

Descriptive Note : Interim rept.,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES

Personal Author(s) : Helstrom,Carl W ; Rice,Stephen O

PDF Url : ADA131480

Report Date : 02 May 1983

Pagination or Media Count : 54

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)

Descriptors :   *Photomultiplier tubes, *Electrons, *Secondary, *Counting methods, Distribution functions, Computations, Integrals, Approximation(Mathematics), Accuracy, Value, Comparison, Probability

Subject Categories : Electrical and Electronic Equipment
      Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE