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References
M. S. Bartlett, Processus stochastiques ponctuels.Ann. Inst. Henri Poincaré, 14 (1954), 35–60.
M. S. Bartlett,An Introduction to Stochastic Processes. Cambridge, 1955.
M. S. Bartlett &D. G. Kendall, On the use of the characteristic functional in the analysis of some stochastic processes occurring in physics and biology.Proc. Cambridge Philos. Soc., 47 (1951), 65–76.
H. J. Bhabha, On the stochastic theory of continuous parametric systems and its application to electron cascades.Proc. Roy. Soc. A 202 (1950), 301–322.
J. L. Doob,Stochastic Processes. New York, 1953.
W. Feller,An Introduction to Probability Theory and its Applications. 2nd edition, New York 1957.
T. E. Harris, Some mathematical models for branching process.2nd Berkeley Symposium on Math. Statistics and Probability (1951), 305–328.
E. Hille & R. S. Phillips,Functional Analysis and Semi-Groups. Amer. Math. Soc. Colloq. Publications Vol. 31, 1957.
D. G. Kendall, Stochastic processes and population growth.J. Roy. Statist. Soc. Ser. B, 11 (1949), 230–264.
A. N. Kolmogorov,Foundations of the Theory of Probability. New York, 1950.
J. E. Moyal, “Statistical problems in nuclear and cosmic ray physics”,Bull. Inst. International Statistique, 35 (1957), 199–210.
—, Discontinuous Markoff processes.Acta Math., 98 (1957), 221–264.
J. Neyman &E. L. Scott, Statistical approach to problems of cosmology.J. Roy. Statist. Soc. Ser. B 20 (1958), 1–43.
A. Ramakrishnan, Stochastic processes relating to particles distributed in a continuous infinity of states.Proc. Cambridge Philos. Soc., 46 (1950), 595.
I. E. Segal, Abstract probability spaces.Amer. J. Math. 76 (1954), 721–732.
S. Ulam, Zur Mass-Theorie in der allgemeinen Mengenlehre.Fund. Math., 16 (1930), 140–150.
H. Wold, Sur les processus stationnaires ponctuels.Le Calcul des Probabilités et ses Applications, Publications du C.N.R.S. t. 13, 1949.
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This work was supported in part by Office of Naval Research Contract Nonr-225(21) at Stanford University. Reproduction in whole or in part is permitted for any purpose of the United States Government.
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Moyal, J.E. The general theory of stochastic population processes. Acta Math. 108, 1–31 (1962). https://doi.org/10.1007/BF02545761
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DOI: https://doi.org/10.1007/BF02545761