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Computational Mathematics and Modeling

, Volume 1, Issue 1, pp 43–49 | Cite as

Randomized distributions in event recording models for multiple processes

  • G. V. Batomunkueva
  • A. G. Belov
  • V. Ya. Galkin
  • M. V. Ufimtsev
II. Methods of Solution of Inverse Problems and Computer Techniques
  • 20 Downloads

Abstract

We consider the problem of allowing for fluctuations in "recording intensity," which is reducible to randomization by an appropriate parameter. The properties (including asymptotic properties) of randomized convolutions with uniform and gamma distributions are considered. Constructive algorithms are developed for computing randomized distributions. Numerical implementation of these algorithms has made it possible to compare randomized and nonrandomized distribution for some characteristic parameter values.

Keywords

Mathematical Modeling Computational Mathematic Industrial Mathematic Gamma Distribution Characteristic Parameter 
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Literature Cited

  1. 1.
    V. Ya. Galkin and M. V. Ufimtsev, "Investigation of direct stochastic problems for the recording of the yield of multiple nuclear reactions," in: Some Topics of Computer-Aided Processing and Interpretation of Physical Experiments [in Russian], No. 2, Moscow State Univ. (1973), pp. 81–117.Google Scholar
  2. 2.
    V. Ya. Galkin and M. V. Ufimtsev, "Investigation of one class of discrete distributions," in: Computational Methods and Programming [in Russian], No. 26, Moscow State Univ. (1977), pp. 36–56.Google Scholar
  3. 3.
    V. Ya. Galkin and M. V. Ufimtsev, "On the limiting distribution in recording the products of multiple reactions," in: Processing and Interpretation of Observation Results [in Russian], Moscow State Univ. (1981), pp. 27–42.Google Scholar
  4. 4.
    V. Ya. Galkin and M. V. Ufimtsev, "Distribution of the products of multiple reactions and Neyman's ‘contagious’ distribution," Vestn. Mosk. Gos. Univ., Ser. Vychisl. Mat. Kiber., No. 2, 41–51 (1982).Google Scholar
  5. 5.
    W. Feller, An Introduction to Probability Theory and Its Applications, Vols. 1, 2, Wiley, New York (1963).Google Scholar
  6. 6.
    V. Ya. Galkin and M. V. Ufimtsev, "Properties of the distribution of the number of recorded secondary particles with nonconstant counting rate," in: Some Topics of Computer-Aided Processing and Interpretation of Physical Experiments [in Russian], No. 3, Moscow State Univ. (1975), pp. 27–39.Google Scholar
  7. 7.
    M. Kendall and A. Stuart, The Advanced Theory of Statistics, Vol. 2, Inference and Relationship, Hafner, New York (1969).Google Scholar
  8. 8.
    A. G. Belov, V. Ya. Galkin, and M. V. Ufimtsev, "On computing a pair of discrete distributions associated with the recording of rare events," in: Mathematical Problems of Observation Processing [in Russian], No. 2, Moscow State Univ. (1984), pp. 99–110.Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • G. V. Batomunkueva
  • A. G. Belov
  • V. Ya. Galkin
  • M. V. Ufimtsev

There are no affiliations available

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