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References
Anscombe, F. J.: Large-sample theory of sequential estimation. Proc. Cambridge philos. Soc. 48, 600–607 (1952).
Bartlett, M. S.: The spectral analysis of point processes. J. roy. statist. Soc. Ser. B, 25, 264–296 (1963).
Brown, M., Ross, S. M.: Some results for infinite server Poisson queues. J. appl. Probab. 6, 604–611 (1969).
- - Renewal reward processes. (Submitted for publication.) (1971).
Cox, D. R., Lewis, P. A. W.: The statistical analysis of series of events. Methuen: London 1966.
Cramer, H.: Mathematical methods of statistics. Princeton University Press: Princeton 1946.
Daley, D.J.: Weakly stationary point processes and random measures. J. roy. statist. Soc. Ser. B 31 (to appear, 1971).
Kaplan, E. L.: Transformations of stationary random sequences. Math. Scandinav. 3, 127–149 (1955).
Lewis, P. A. W.: A branching Poisson process model for the analysis of computer failure patterns. J. roy. statist. Soc. Ser. B 26, 398–456 (1964).
—: Asymptotic properties and equilibrium conditions for branching Poisson processes. J. appl. Probab. 6, 355–371 (1969).
- Asymptotic properties of branching renewal processes. (To appear.) 1971.
Ryll-Nardzewski, C.: Remarks on processes of calls. Proc. Fourth Berkeley Sympos. math. Statist. Probab. II, 455–465 (1961).
Slivnyak, I. M.: Some properties of stationary flows of random events. Theor. Probab. Appl. 7, 336–341 (1962).
—: Stationary streams of homogeneous random events. Vestnik Har'kov. Gos. Univ. 32, 73–116 (1966).
Vere-Jones, D.: Stochastic models for earthquake occurrences. J. roy. Statist. Soc. Ser. B 32, 1–62 (1970).
Westcott, M.: On existence and mixing results for cluster point processes. J. roy. statist. Soc. Ser. B 31 (to appear, 1971).
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In Memoriam Rollo Davidson
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Daley, D.J. Asymptotic properties of stationary point processes with generalized clusters. Z. Wahrscheinlichkeitstheorie verw Gebiete 21, 65–76 (1972). https://doi.org/10.1007/BF00535107
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DOI: https://doi.org/10.1007/BF00535107