| [1] |
Athreya, K. B.; Ney, P. E., Branching processes (1972), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0259.60002 |
| [2] |
Feller, W., An introduction to probability theory and its applications. Vol. 1 (1968), New York: Wiley, New York · Zbl 0155.23101 |
| [3] |
Feller, W., An introduction to probability theory and its applications. Vol. 2 (1971), New York: Wiley, New York · Zbl 0219.60003 |
| [4] |
Fisz, M.; Varadarajan, V. S., A condition for absolute continuity of infinitely divisible distribution functions, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 1, 335-339 (1963) · Zbl 0113.12801 |
| [5] |
Forst, G., A characterization of potential kernels on the positive halfline, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 41, 335-340 (1978) · Zbl 0353.60023 |
| [6] |
Forst, G., A characterization of self-decomposable probabilities on the half-line, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 49, 349-352 (1979) · Zbl 0413.60010 |
| [7] |
Foster, J. H.; Williamson, J. A., Limit theorems for the Galton-Watson process with time-dependent immigration, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 20, 227-235 (1971) · Zbl 0212.19702 |
| [8] |
Goldie, C. M., A class of infinitely divisible random variables, Proc. Cambridge Phil. Soc., 63, 1141-1143 (1967) · Zbl 0189.51701 |
| [9] |
De Haan, L., On regular variation and its application to the weak convergence of sample extremes, Math. Centre Tracts 32 (1970), Amsterdam: Math. Centre, Amsterdam · Zbl 0226.60039 |
| [10] |
Van Harn, K., Classifying infinitely divisible distributions by functional equations, Math. Centre Tracts 103 (1978), Amsterdam: Math. Centre, Amsterdam · Zbl 0392.60016 |
| [11] |
Harris, T. E., The theory of branching processes (1963), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0117.13002 |
| [12] |
Hirsch, F., Familles d’opérateurs potentiels, Ann. Inst. Fourier, 25, 3-4, 263-288 (1975) · Zbl 0286.31002 |
| [13] |
Lamperti, J., Probability (1966), New York: Benjamin, New York · Zbl 0147.15502 |
| [14] |
Lamperti, J., Continuous state branching processes, Bull. Amer. Math. Soc., 73, 382-386 (1967) · Zbl 0173.20103 |
| [15] |
Lamperti, J., Limiting distributions for branching processes, Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. II.2, 225-241 (1967), Berkeley: Univ. California Press, Berkeley · Zbl 0238.60066 |
| [16] |
Lamperti, J., The limit of a sequence of branching processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 7, 271-288 (1967) · Zbl 0154.42603 |
| [17] |
Loève, M., Probability theory I (1977), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0359.60001 |
| [18] |
Seneta, E., Regularly varying functions, Lecture Notes in Math. 508 (1976), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0324.26002 |
| [19] |
Sevast’janov, B. A., Limit theorems for branching stochastic processes of special form, Theor. Probability Appl., 2, 321-331 (1957) |
| [20] |
Sevast’janov, B. A., Branching processes (Russian) (1971), Moscow: Nauka, Moscow |
| [21] |
Silverstein, M. L., A new approach to local time, I. Math. Mech., 17, 1023-1054 (1968) · Zbl 0184.41101 |
| [22] |
Steutel, F. W., Preservation of infinite divisibility under mixing and related topics, Math. Centre Tracts 33 (1970), Amsterdam: Math. Centre, Amsterdam · Zbl 0226.60013 |
| [23] |
Steutel, F. W.; Van Harn, K., Discrete analogues of self-decomposability and stability, Ann. Probab., 7, 893-899 (1979) · Zbl 0418.60020 |
| [24] |
Steutel, F.W., Vervaat, W., Wolfe, S.J.: Integer-valued branching processes with immigration. [Forthcoming, 1980] · Zbl 0525.60086 |
| [25] |
Vervaat, W.: Embedding iterates of probability generating functions into continuous composition semigroups. [Forthcoming 1980] |
| [26] |
Widder, D. V., The Laplace Transform (1946), Princeton: Princeton University Press, Princeton · JFM 67.0384.01 |
