Induced weak convergence and random measures. (English) Zbl 0328.60007
References:
| [1] | Bauer, H., Probability Theory and Elements of Measure Theory (1972), New York: Holt, Rinehart and Winston, New York · Zbl 0243.60004 |
| [2] | Billingsley, P., Convergence of Probability Measures (1968), New York: Wiley, New York · Zbl 0172.21201 |
| [3] | Breiman, L., Probability (1968), Reading, Massachusetts: Addison-Wesley, Reading, Massachusetts · Zbl 0174.48801 |
| [4] | Feller, W., An Introduction to Probability Theory and its Applications II (1970), New York: Wiley, New York · Zbl 0138.10207 |
| [5] | Harris, T., Counting measures, monotone random set functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 10, 102-119 (1968) · Zbl 0165.18902 |
| [6] | Harris, T., Random measures and motions of point processes, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 18, 85-115 (1971) · Zbl 0194.49204 |
| [7] | Jagers, P., Aspects of random measures and point processes, Advances in Probability and Related Topics, 3, 179-239 (1974) · Zbl 0333.60059 |
| [8] | JiŘina, M., Convergence in distribution of random measures, Ann. Math. Statist., 43, 1727-1731 (1972) · Zbl 0249.60003 |
| [9] | Kallenberg, O., Random Measures, Schriftenreihe des Zentralinstituts für Mathematik und Mechanik bei der Akademie der Wissenschaften der DDR (1975), Berlin: Akademie-Verlag, Berlin · Zbl 0345.60031 |
| [10] | Kelley, J., General Topology (1955), New York: Van Nostrand, New York · Zbl 0066.16604 |
| [11] | Kerstan, J.; Matthes, K.; Mecke, J., Unbegrenzt teilbare Punktprozesse (1974), Berlin: Akademie-Verlag, Berlin · Zbl 0287.60057 |
| [12] | LeCam, L., A stochastic description of precipitation, Proc. 4th Berkeley Sympos. Math. Statist. Probab., 3, 165-186 (1961) · Zbl 0122.37005 |
| [13] | Lindvall, T., Weak convergence of probability measures and random functions in the function space D[0, ∞), J. Appl. Probability, 10, 109-121 (1973) · Zbl 0258.60008 |
| [14] | Prohorov, Yu., Random measures on a compactum, Soviet Math. Dokl., 2, 539-541 (1961) · Zbl 0111.32202 |
| [15] | Stone, C., Weak convergence of stochastic processes defined on a semi-infinite time interval, Proc. Amer. Math. Soc., 14, 694-696 (1963) · Zbl 0116.35602 |
| [16] | TopsØe, F., Topology and Measure, Lecture Notes in Maths. 133 (1970), Berlin-Heidelberg-New York: Springer-Verlag, Berlin-Heidelberg-New York · Zbl 0197.33301 |
| [17] | von Waldenfels, W., CharÄkteristische Funktionale zufalliger Masse, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 10, 279-283 (1968) · Zbl 0177.45001 |
| [18] | Whitt, W., Weak convergence of probability measures on the function space C[0, ∞), Ann. Math. Statist., 41, 939-944 (1970) · Zbl 0203.50501 |
| [19] | Whitt, W.: Weak convergence of probability measures on the function space D[0, ∞). Technical report. Yale University (1971) · Zbl 0226.60010 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
