Abstract
One introduces the class of discrete semistable probability distributions and one considers some of its properties and the relations with other classes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
S. Karlin, A First Course in Stochastic Processes, Academic, Press, New York (1966).
D. Krapavitskaite, “The relation between semistable and stable probability distributions,” Litov. Mat. Sb. (Liet. Mat. Rinkinys),21, No. 3, 177–178 (1981).
V. M. Kruglov, “A certain extension of the class of stable distributions,” Teor. Veroyatn. Primen.,17, No. 3, 723–732 (1972).
B. A. Sevast'yanov, Branching Processes [in Russian], Nauka, Moscow (1971).
W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, Wiley, New York (1966).
T. E. Harris, The Theory of Branching Processes, Springer, Berlin (1963).
K. B. Athreya and P. E. Ney, Branching Processes, Springer, New York (1972).
K. van Harn, F. W. Steutel, and W. Vervaat, “Self-decomposable discrete distributions and branching processes,” Z. Wahrsch. Verw. Gebiete,61, No. 1, 97–118 (1982).
E. Hensz and R. Jajte, “On a class of limit laws,” Teor. Veroyatn. Primen.,23, No. 1, 215–221 (1978).
Additional information
Translated from Veroyatnostnye Raspredeleniya i Matematicheskaya Statistika, pp. 247–264, 1986.
Rights and permissions
About this article
Cite this article
Krapavitskaite, D. Discrete semistable probability distributions. J Math Sci 38, 2309–2319 (1987). https://doi.org/10.1007/BF01093832
Issue Date:
DOI: https://doi.org/10.1007/BF01093832