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Integrability of expected increments of point processes and a related random change of scale. (English) Zbl 0236.60036


MSC:

60G99 Stochastic processes
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[1] N. Bourbaki, Eléments de mathématique. XIII. Première partie: Les structures fondamentales de l’analyse. Livre VI: Intégration. Chapitre I: Inégalités de convexité. Chapitre II: Espaces de Riesz. Chapitre III: Mesures sur les espaces localement compacts. Chapitre IV: Prolongement d’une mesure; espaces \?^{\?}, Actualités Sci. Ind., no. 1175, Hermann et Cie, Paris, 1952 (French). · Zbl 0049.31703
[2] Werner Fieger, Die Anzahl der \?-Niveau-Kreuzungspunkte von stochastischen Prozessen, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 18 (1971), 227 – 260 (German). · Zbl 0199.52403
[3] Paul-A. Meyer, Probability and potentials, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1966. · Zbl 0138.10401
[4] K. Murali Rao, On decomposition theorems of Meyer, Math. Scand. 24 (1969), 66 – 78. · Zbl 0193.45501
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[6] -, Summary of some results on point and line processes, Proc. IBM Conference on Stochastic Point Processes (held August 1971).
[7] Frédéric Riesz and Béla Sz.-Nagy, Leçons d’analyse fonctionnelle, Akadémiai Kiadó, Budapest, 1953 (French). 2ème éd. · Zbl 0051.08403
[8] Czesław Ryll-Nardzewski, Remarks on processes of calls, Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 455 – 465.
[9] František Zítek, The theory of ordinary streams, Select. Transl. Math. Statist. and Probability, Vol. 2, American Mathematical Society, Providence, R.I., 1962, pp. 241 – 251.
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