Geodesic
A mean probability event for a set of events
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 127-135 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we present an eventological model of a mean probability event for a set of events. This model is analogous to the notion of a mean measure set [3].
Keywords: eventology, probability, universal probability space, universal elementary outcome, universal event, set of universal events, mean measure set, mean probability event, mean probability terrace partition. 
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Oleg Yu. Vorobyev; Natalia A. Lukyanova. A mean probability event for a set of events. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 127-135. http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a13/

[1] O. Yu. Vorobyev, “Definition of probabilities of fire spread and estimating a mean fire spread set”, Protection of forest resources of Siberia, v. 1, Institute of forest and wood, SB AS USSR, Krasnoyarsk, 1975, 43–67 (in Russian)

[2] O. Yu. Vorobyev, “On set characterictics of states of distributed probability prosesses”, Izvestia of SB AS USSR, 1:3 (1977), 3–7 (in Russian)

[3] O. Yu. Vorobyev, Mean Measure Modeling, Nauka, Moscow, 1984 (in Russian)

[4] Probability and mathematical statistics, Encyclopedia, BRE, Moscow, 1999 (in Russian) | MR

[5] O. Yu. Vorobyev, Eventology, Siberian Federal University, Krasnoyarsk, 2007 (in Russian)

[6] O. Yu. Vorobyev, “A total system and a totality of systems: eventological similarity and distinction”, Proc. of the XI Int. FAMES Conf. on Financial and Actuarial Mathematics and Eventology of Safiety, 2012, 131–138 (in Russian)

[7] H. E. Robbins, “On the measure of a random set”, Ann. Math. Statist., 15 (1944), 70–74 ; “On the measure of a random set. II”, Ann. Math. Statist., 16 (1945), 342–347 | DOI | MR | Zbl | DOI | MR | Zbl

[8] O. Yu. Vorobyev, “A mean probability event for the set of events”, Proc. of the XI Int. FAMES Conf. on Financial and Actuarial Mathematics and Eventology of Safiety, 2012, 139–147 (in Russian)

[9] O. Yu. Vorobyev, “Eventological system analysis of safety”, Proc. of the XI Int. FAMES Conf. on Financial and Actuarial Mathematics and Eventology of Safiety, 2012, 113–125 (in Russia)

[10] O. Yu. Vorobyev, “Eventological analysis of systems: an event system under the off-system circumstances”, Proc. of the XI Int. FAMES Conf. on Financial and Actuarial Mathematics and Eventology of Safiety, 2012, 126–130 (in Russian)