Vorobyev, Oleg Yu. and Lukyanova, Natalia A. (2013): A Mean Probability Event for a Set of Events. Published in: Journal of Siberian Federal University , Vol. 6 (1), No. Mathematics & Physics (13 January 2013): pp. 128136.

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Abstract
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
Item Type:  MPRA Paper 

Original Title:  A Mean Probability Event for a Set of Events 
English Title:  A Mean Probability Event for a Set of Events 
Language:  English 
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. 
Subjects:  C  Mathematical and Quantitative Methods > C3  Multiple or Simultaneous Equation Models ; Multiple Variables > C30  General 
Item ID:  48101 
Depositing User:  Prof Oleg Yu Vorobyev 
Date Deposited:  08 Jul 2013 09:21 
Last Modified:  09 Oct 2019 18:41 
References:  [1] O.Yu.Vorobyev, Definition of probabilities of fire spread and estimating a mean fire spread set, Protection of forest resources of Siberia, Krasnoyarsk, Institute of forest and wood, SB AS USSR, 1(1975), 43–67 (in Russian) [2] O.Yu.Vorobyev, On set characterictics of states of distributed probability prosesses, Izvestia of SB AS USSR, 1(1977), no. 3, 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) [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, I Ann. Math. Statist., 15(1944), 70–74; II Ann. Math. Statist., 15(1945), 342–347. [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 Russian) [10] O.Yu.Vorobyev, Eventological analysis of systems: an event system under the offsystem circumstances, Proc. of the XI Int. FAMES Conf. on Financial and Actuarial Mathematics and Eventology of Safiety, 2012, 126–130 (in Russian) 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/48101 