Victor Ohanian, PhD

Victor Ohanian joined AUA as an Adjunct Professor  in 1995. He is also Professor and the Head of the Probability Theory and Mathematical Statistics program at YSU. For Victor scale of professional interests include stochastic and integral geometry, random point processes, applications of probability theory and mathematical statistics, financial mathematics, Bayesian statistics,  pattern recognition, random geometrical processes, and statistical quality control.

 

Higher Education

1998, Doctoral
Saint Petersburg University

1979, PhD
Steklov Mathematical Institute

 

Courses taught:

  • Probability theory
  • Mathematical statistics
  • Introduction to stochastic geometry
  • Bayesian Statistics
  • Random point processes
  • Statistical quality control
  • Discrete Mathematics

 

Publications:

  1. K. Ohanyan, N. G. Aharonyan, ``Calculation of geometric probabilities using covariogram of convex bodies’’, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), vol. 53, no. 2, pp. 113-120, 2018.
  2. Kechejian(USA), V. K. Ohanyan, V. G. Bardakhchyan, ``Gas Storage Valuation based on Spot Prices, Modeling of Artificial Intelligence,  vol. 5, no. 1, pp. 22-28, 2018.
  3. K. Ohanyan, V. G. Bardakhchyan, A.R. Simonyan, E.I. Ulitina, Fuzzification of convex bodies in Rn, Space, Time and Fundamental Interactions, 2018, no. 4.
  4. Hagop Kechejian (USA), V. K. Ohanyan and V. G. Bardakhchyan, ``Curran`s method for approximating arithmetic average option for several futures’’, Modeling of Artificial Intelligence, 2017, vol.4 Is. 1, pp. 14-20.
  5. G. Aharonyan, V. K. Ohanyan - ``Pattern recognition by cross sections’’, Modeling of Artificial Intelligence, 2017, vol. 4, Is. 2, 3-15.
  6. Kechejian, V. K. Ohanyan and V. G. Bardakhchyan, ``Geometric average options for several futures’’, Journal of Kazan State University, vol. 31, no. 3, pp. 171-180, 2016.
  7. G. Gasparyan and V. K. Ohanyan, Orientation-dependent distribution of the length of a random segment and covariogram, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), vol. 50, no. 2, pp. 90-97, 2015.
  8. Kechejian, V. K. Ohanyan and V. G. Bardakhchyan, `` Tolling contracts with two driving prices’’, Russian Journal of Mathematical Research, Series A, vol. 1, pp. 14-19, 2015.
  9. K. Ohanyan, ``Recognition of convex bodies by probabilistic methods’’, Russian Journal of Mathematical Research, Series A, vol. 2, Issue 2, pp. 40-44, 2015.
  10. G. Gasparyan and V. K. Ohanyan, Orientation-dependent chord length distribution as a function of maximal chord, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), vol. 50, no. 5, pp. 253 --- 257, 2015.
  11. S. Harutyunyan, and V. K. Ohanyan, ``Covariogram of a cylinder’’, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), vol. 49, no. 6, 3-15, 2014.
  12. G. Gasparyan, and V. K. Ohanyan, ``Covariogram of a parallelogram’’, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), vol. 49, no. 4. no.4, 17-34, 2014.
  13. S.Harutyunyan, and V. K. Ohanyan, ``Orientation-dependent section distributions for convex bodies’’, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), 2014, vol. 49, no. 3, 139-156.
  14. K. Ohanyan, ``Distribution of cross-section of convex bodies’’, Modelling of Artificial Intelligence, 2014, vol. 2, no. 2, pp. 72-76.
  15. K. Ohanyan, `` Recognition of convex bodies by covariogram’’, European Researcher, International Journal, 2013, Vol. 48, No. 5 (1), pp. 1092-1096.
  16. G. Gasparyan, and V. K. Ohanyan, ``Recognition of triangles by covariogram’’, Journal of Contemporary Mathematical Analysis (Armenian Academy of sciences), 2013, vol. 48, no. 3, pp. 110-122, 2013.
  17. K. Ohanyan and H. Kechejian, ``Tolling Contracts’’, Proceedings of the 6th working conference ``Reliability and optimization of structural systems’’, pp. 231-236, AUA, 2012.
  18. G. Aharonyan, and V. K. Ohanyan, ``Kinematic Measure of Segments Lying in a Domain’’, Journal of contemporary Mathematical Analysis (Armenian Academy of Sciences), vol. 46, no. 5, pp. 3-14, 2011.
  19. K. Ohanyan, ``The inequality in the space of polygons’’, The American Mathematical Monthly, vol. 118, no. 8, p. 747, 11595, October 2011.
  20. G. Aharonyan, H. S. Harutyunyan, V. K. Ohanyan, A random copy of a segment, intersecting a convex domain, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences),  vol. 45, no 6, 5 – 14, 2010.
  21. S. Harutyunyan, V. K. Ohanyan, ``Chord length distribution function for regular polygons", Advances in Applied Probability, vol. 41, no. 2, pp. 358 - 366,  2009.
  22. K. Ohanyan and N. G. Aharonyan, Tomography of bounded convex domains, Sutra: International Journal of Mathematical Science Education, India, vol. 2, no.1, 1 – 12, 2009.
  23. K. Ohanyan, Combinatorial principles in Stochastic Geometry: A Review, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), vol. 43, no. 1,  20-49 (Distributed by Springer, see www.springerlink.com), 2008.
  24. K. Ohanyan, Translation invariant valuations in the space of planes, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), vol. 42, no. 1, 44-60 (Distributed by Springer, see www.springerlink.com), 2007.
  25. G. Aharonyan and V. K. Ohanyan, ``Chord length distributions for polygons’’, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences),  vol. 40, no. 4, 43 – 56, 2005.
  26. K. Ohanyan, ``An inequality in the theory of valuations in the space of planes”, Journal of Contemporary Math. Anal. (Armenian Academy of  Sciences),  vol. 38, no. 3, pp. 37 – 52, 2003.
  27. G. Aharonyan, V. K. Ohanyan, ``Two comments on the paper by R. V. Ambartzumian on desintegration", Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), vol. 36, no. 6, pp. 37 – 47, 2001.
  28. Ohanyan, K., Analysis of homogeneous random line processes in the plane by invariant imbedding, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences , vol. 34, no. 6, pp. 59-78, 1999.
  29. V.Ambartzumian, A. Der Kiureghian, V. K. Ohanyan, H. S. Sukiasian, “Multinormal probability by sequentional conditioned importance sampling:  theory and application", Probabilistic Engineering Mechanics, Elsevier Science Ltd., USA, vol. 31, no. 4, pp.  299 -308, 1998.
  30. V. Ambartzumian, V. K. Ohanyan ``Parametric versions of Hilbert's fourth problem," Israel Journal of Mathematics, vol. 103, no. 1, pp. 41 - 65, 1998.
  31. V. Ambartzumian, V. K. Ohanyan, ``Palm distributions in the analysis of homogeneous random line processes in the plane", Journal of Contemporary Math. Anal. (Armenian Academy of Sciences), vol. 33, no. 4, pp. 31 - 58, 1998.
  32. K. Ohanyan, ``More on Riemann Metrics in R2 for which the lines are the shortest paths", Journal of Contemporary Math. Anal. (Armenian Academy of Sciences)], vol. 32, no. 2, pp. 77 - 85, 1997.
  33. V. Ambartzumian, A. Der Kiureghian, V. K. Ohanyan, H. S. Sukiasian, R. H. Aramian, ``Poisson random planes model in tunnel building", Journal of Contemporary Math. Anal. (Armenian Academy of Sciences), vol. 31, no. 2, pp.1 - 20, 1996.
  34. K. Ohanyan, A. Davtian, ``Finitely additive functionals in the space of planes, II", Journal of Contemporary Math. Anal. (Armenian Academy of  Sciences)], vol. 31, no. 4, pp. 44 - 74, 1996.
  35. K. Ohanyan, ``Measure generation by Euler Functionals", An Appendix to the paper by R. V. Ambartzumian, Adv. Appl. Prob. (SGSA), vol. 27, pp. 623 - 626,  1995.
  36. V. Ambartzumian, V. K. Ohanyan, ``Finitely additive functionals in the space of planes, I", Journal of Contemporary Math. Anal. (Armenian Academy of Sciences)],  vol. 29, no. 4, pp. 1 - 53, 1994.

 

Awards:

  1. Principal Investigator of Grant #18RF-019 titled: `` Stochastic Models with Fuzzy random sets” (March 1, 2018 – February 28, 2020). Competition: Armenian – Russian Grant Program.
  2. Investigator in a grant # 18T-1A252 titled ``Generation of measures and stochastic tomography” (Principal Investigator professor Rafik Aramyan (September 1, 2018 – August 31, 2020). Competition: Armenian Thematic Grants Program.
  3. Investigator in the grant of Science committee of Armenia (duration 2015 January 1 till 2019 December 31).
  4. Principal Investigator of Grant #11-1A-125 titled: ``PATTERN RECOGNITION BY CROSS SECTIONS’’ (March1, 2011 – February 28, 2013. Competition: The State Committee of Science of the Republic of Armenia (see:  scs.am)
  5. Principal Investigator of Grant # AE1-2535-YE-03 titled: ``Development of Multivariate Multiple Sampling Charts for Statistical Quality Control” (December 1, 2003 – November 30, 2005). Competition: Cooperative Grant Program CRDF (see http://www.crdf.org/).
  6. Investigator in a grant # CRDF 12065 titled ``Stochastic Implications of Combinatorial Integral Geometry” (Principal Investigator academician Rouben  Ambartzumian (January 1, 2003 – December 31, 2004). Competition: Bilateral (US- Armenia) Grants Program, CRDF.
  7. Researcher in a Grant of International Science Foundation (SOROS) titled ``Analytic Implications of Combinatorial Integral Geometry” (Principal Investigator academician Rouben Ambartzumian), 1994 – 1995.

 

Office Location: 317W/PAB