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Infinitely divisible processes with interchangeable increments and random measures under convolution. (English) Zbl 0296.60020


MSC:

60G05 Foundations of stochastic processes
60E05 Probability distributions: general theory
60G99 Stochastic processes
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References:

[1] Dunford, N.; Schwartz, J. T., Linear operators I (1958), New York: Interscience, New York · Zbl 0084.10402
[2] Kallenberg, O., Characterization and convergence of random measures and point processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 27, 9-21 (1973) · Zbl 0253.60037
[3] Kallenberg, O., Canonical representations and convergence criteria for processes with interchangeable increments, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 27, 23-36 (1973) · Zbl 0253.60060
[4] Kallenberg, O., Path properties of processes with independent and interchangeable increments, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 28, 257-271 (1974) · Zbl 0266.60028
[5] Kallenberg, O., Series of random processes without discontinuities of the second kind, Ann. Probability, 2, 729-737 (1974) · Zbl 0286.60027
[6] Kerstan, J.; Matthes, K.; Mecke, J., Unbegrenzt teilbare Punktprozesse (1974), Berlin: Akademie-Verlag, Berlin · Zbl 0287.60057
[7] Lee, P. M., Infinitely divisible stochastic processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 7, 147-160 (1967) · Zbl 0167.46301
[8] Kallenberg, O., Random measures, Schriftenreihe des Zentralinstituts für Mathematik und Mechanik der AdW der DDR (1975), Berlin: Akademie-Verlag, Berlin · Zbl 0345.60031
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