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On a stochastic difference equation

Published online by Cambridge University Press:  01 July 2016

Wim Vervaat*
Affiliation:
University of Nijmegen

Abstract

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Type
II. Contributed Papers
Copyright
Copyright © Applied Probability Trust 1977 

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References

[1] Chamayou, J. M. F. and Schorr, B. (1975) On a class of random variables arising in atomic cascade models. Report, European Organization for Nuclear Research, Geneva.Google Scholar
[2] Grenander, U. (1963) Probabilities on Algebraic Structures. Almqvist and Wiksell, Stockholm; Wiley, New York.Google Scholar
[3] Grincevičius, A. K. (1974a) On the continuity of the distribution of a sum of dependent variables connected with independent walks on lines. Theory Prob. Appl. 19, 163168.Google Scholar
[4] Grincevičius, A. K. (1974b) A central limit theorem for the group of linear transformations of the real axis. Soviet Math. Dokl. 15, 15121515.Google Scholar
[5] Lassner, F. (1974) Sur certains types de mécanismes additifs en économie stochastique. C. R. Acad. Sci. Paris A 279, 3336.Google Scholar
[6] Uppuluri, V. R. R., Feder, P. I. and Shenton, L. R. (1967) Random difference equations occurring in one-compartment models. Math. Biosci 2, 143171.Google Scholar
[7] Takács, L. (1954) On secondary processes generated by a Poisson process and their applications in physics. Acta Math. Acad. Sci. Hung. 5, 203236.CrossRefGoogle Scholar
[8] Takács, L. (1955) On stochastic processes connected with certain physical recording apparatuses. Acta Math. Acad. Sci. Hung. 6, 363380.Google Scholar
[9] Vervaat, W. (1976) On a stochastic difference equation and a representation of positive infinitely divisible random variables. Report 7625, Mathematisch Instituut, Katholieke Universiteit, Nijmegen.Google Scholar