Probability Theory and Its Applicatiobs; Matheatical Modeling Humanities and Socio-Economical Systems.

Biography

In the middle 70 for the first time introduced into probability theory and statistics of concept of set-expectation; and set-medians for random sets (now Vorobovs set-expectation and set-median) which are similar to concepts of a expectation and a median for random variables (the PhDs thesis, 1979). In 1973 has constructed is random set model of of forest fire spread (now Vorobovs model). The thesis for a doctors degree (1993) is devoted to development of the new theory of random finite abstract sets and to its applications. The founder of eventology (2001), a new direction in the probability theory, studying movement of sets of events in humanities and socio-economics systems.

Oleg Yu. Vorobyev, “Postulating the theory of experience and chance”, J. Sib. Fed. Univ. Math. Phys., 12:6 (2019), 705–717

2013

2.

Oleg Yu. Vorobyev, Natalia A. Lukyanova, “A mean probability event for a set of events”, J. Sib. Fed. Univ. Math. Phys., 6:1 (2013), 127–135

2011

3.

Oleg Yu. Vorobyev, Elena E. Goldenok, “Many-event-based models of market following from the eventological $H$-theorem”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 419–433

4.

Oleg Yu. Vorobyev, Nataly A. Lukyanova, “Properties of the entropy of multiplicative-truncated approximations of eventological distributions”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 50–60

2010

5.

Oleg Yu. Vorobyev, “On elements of axiomatizing eventology”, J. Sib. Fed. Univ. Math. Phys., 3:2 (2010), 157–164

2009

6.

Joe Goldblatt, Rebecca Finkel, Oleg Yu. Vorob'ov, “Eventological Theory of Decision-Making”, J. Sib. Fed. Univ. Math. Phys., 2:1 (2009), 3–16

2008

7.

Oleg Yu. Vorob'ov, Lavrenty S. Golovkov, “Discrete Multidimensional Distributions”, J. Sib. Fed. Univ. Math. Phys., 1:1 (2008), 68–77