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References
Brown, T.: A martingale approach to the Poisson convergence of simple point processes. Ann. Probability 6, 615–628 (1978)
Brown, T.: Some Poisson Approximation (Dpt. of Mathematics, Monach University, n∘ 27, 1982). [To appear in Annals of Probab.]
Dellacherie, C.: Capacités et processus stochastiques. Berlin-Heidelberg-New York: Springer 1972
Jacod, J.: Calcul stochastique et problémes des martingales. Berlin-Heidelberg-New York: Springer 1979
Jacod, J.: Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales. Z. Wahrscheinlichkeitstheorie verw. Gebiete, 31, 235–253 (1975)
Kabanov, Yu.M.: On the rate of convergence of distribution of counting processes to the distribution of a counting process with independent increments. Dokl. Akad. Nauk SSSR, 264, 5 (1982) (in Russian)
Kabanov, Yu.M., Liptser, R.Sh., Shiryaev, A.N.: Absolute continuity and singularity of locally absolutely continuous probability distributions, I, II. Math. Sbornik, 107, 364–415 (1978), 108, 30–61 (1979) (in Russian). English translation: Math. USSR Sbornik, 35, 631–680 (1979), 36, 31–58 (1980)
Kabanov, Yu.M., Liptser, R.Sh., Shiryaev, A.N.: Some limit theorems for simple point processes (martingale approach). Stochastics, 3, 203–216 (1980)
Mémin, J.: Distance en variation et condition de contiguité pour les lois de processus ponctueles. (Preprint)
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Kabanov, Y.M., Liptser, R.S. On convergence in variation of the distributions of multivariate point processes. Z. Wahrscheinlichkeitstheorie verw Gebiete 63, 475–485 (1983). https://doi.org/10.1007/BF00533721
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DOI: https://doi.org/10.1007/BF00533721