Abstract
We consider estimation methods for the unknown parameters of the compound Neyman distribution, some of which are modifications of the method of moments. The relative estimation errors determined by computer are used for a comparative analysis of the different estimation methods.
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Literature Cited
I. Neyman, "On a new class of ‘contagious’ distributions, applicable in entomology and bacteriology,"Ann. Math. Stat. 10, No. 1, 35–57 (1939).
V. Ya. Galkin and M. V. Ufimtsev, "On limiting distribution for the measurement of the products of multiple reactions," in:Analysis and Interpretation of Observation Results [in Russian], Moscow State Univ. (1981), pp. 27–42.
V. Ya. Galkin and M. V. Ufimtsev, "Distribution of products of multiple reactions of Neyman's ‘contagious’ distribution,"Vestn. Mosk. Gos. Univ., No.2, 41–51 (1982).
V. I. Ashby, H. C. Carton, L. L. Neukirk, and C. I. Taylor, "Absolute measurement of (n, 2n) cross sections at 14.1 MeV,"Phys. Rev. 111, No. 2, 616–621 (1958).
S. Costa, "A method to measure photoneutron multiplicity,"Nucl. Instrum. Meth. 21, No. 1, 129–135 (1963).
G. V. Batomunkueva, A. G. Belov, V. Ya. Galkin, and M. V. Ufimtsev, "On randomized distributions in models of recording of products of multiple processes," in:Computational Mathematics and Computer Software [in Russian], Moscow State Univ. (1985).
A. G. Belov, V. Ya. Galkin, and M. V. Ufimtsev, "On computing a pair of discrete distributions associated with recording of rare events," in:Mathematical Problems of Experimental Data Analysis [in Russian], Moscow State Univ. (1984), pp. 99–110.
Cramér, H.Mathematical Methods of Statistics, Princeton Univ. Press (1958).
M. G. Kendall and A. Stuart,The Advanced Theory of Statistics, Vol. 2:Inference and Relationship, Griffin, London (1969).
G. P. Klimov,Probability Theory and Mathematical Statistics [in Russian], Moscow State Univ. (1983).
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Translated from Metody Matematicheskogo Modelirovaniya, Avtomatizatsiya Obrabotki Nablyudenii i Ikh Primeneniya, pp. 135–142, 1986.
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Belov, A.G., Galkin, V.Y. Comparative analysis of parameter estimation methods for the compound neyman distribution. Comput Math Model 1, 149–154 (1990). https://doi.org/10.1007/BF01129057
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DOI: https://doi.org/10.1007/BF01129057