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The Poisson process as renewal process. (English) Zbl 0278.60061


MSC:

60K05 Renewal theory
60G99 Stochastic processes
60J99 Markov processes
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References:

[1] J. L. Doob, Renewal theory from the point of view of the theory of probability,Trans. Amer. Math. Soc. 63 (1948), 422–438. · Zbl 0041.45405
[2] W. Feller,An Introduction to Probability Theory and its Applications, Vol. II, New York, 1966. · Zbl 0138.10207
[3] B. V. Gnedenko,The Theory of Probability, 4th Edition, New York, 1968. · Zbl 0186.24502
[4] J. A. McFadden, The mixed Poisson process,Sankhyā, Ser A27 (1965), 83–92. · Zbl 0141.15301
[5] K. Nawrotzki, Ein Grenzwertsatz für homogene zufällige Punktfolgen (Verallgemeinerung eines Satzes von A. Rényi),Math. Nachr. 24 (1962), 201–217. · Zbl 0108.14403
[6] A. Rényi Foundations of Probability, San Francisco, 1970.
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