Mailing address: Department of Mathematics and Statistics, University of Ottawa, 585 King Edward, Ottawa, Ontario K1N 6N5, CANADA

email: givanoff@uottawa.ca

telephone: (613)  562-5800 extension 3501

fax: (613) 562-5776

Research Interests:

Probability theory and stochastic processes: in particular, stochastic processes indexed by sets, martingales, Markov processes, point processes, survival analysis, exchangeability, limit theory
 

Recent publications

1. Research monographs:

• B.G. Ivanoff and E. Merzbach (2000). Set-Indexed Martingales. Chapman & Hall/CRC Press, Boca Raton.
• L. Gorostiza and B.G. Ivanoff (2000), eds. Stochastic Models, Proceedings of the International Conference on Stochastic Models, June 1998. Canadian Mathematical Society Conference Proceedings 26.

• B.G. Ivanoff and E. Merzbach (2009) Optimal detection of a change-set in a spatial Poisson process. Annals of Applied Probability, in press.
• A.R. Dabrowski, B.G. Ivanoff and R. Kulik (2009) Some notes on Poisso limits for empirical processes. Canadian Journal of Statistics 37, 327-346.
• A. Jordan and B.G. Ivanoff (2009) One-dimensional P-P plots and precedence tests for point processes. Mathematical Methods of Statistics 18, 134-158.
  
• A. Carbarin Aguirre and B.G. Ivanoff (2009) Multidimensional hazard estimation under generalized censoring. Electronic Journal of Statistics, 3, 349-375.
  
• B.G. Ivanoff (2009) Multi-parameter renewal processes and simulation of forest fires. Environmental and Ecological Statistics, 16. 153-171.
  
• B.G. Ivanoff, E. Merzbach and M. Plante (2007). A compensator characterization of point processes on topological lattices. Electronic Journal of Probability 12, 47-74.
• B.G. Ivanoff and E. Merzbach (2006). What is a multi-parameter renewal process? Stochastics 78, 411-441.
• B.G. Ivanoff and N.C. Weber (2005). Spreadable arrays and martingale structures. Journal of the Australian Mathematical Society 79, 277-296.
• B.G. Ivanoff and N.C. Weber (2004). Predictable sampling for partially exchangeable arrays. Statistics and Probability Letters 70, 95-108.
• B.G.I vanoff and E. Merzbach (2004). Random clouds and an application to censoring in survival analysis. Stochastic Processes and their Applications 111, 259-279.
• B.G. Ivanoff and P. Sawyer (2002). Local times for processes indexed by a partially ordered set. Statistics and Probability Letters 61, 1-15.
• B.G. Ivanoff and E. Merzbach (2002). Random censoring in set-indexed survival analysis. Annals of Applied Probability 12, 944-971.
• R.M. Balan and B.G. Ivanoff (2002). A Markov property for set-indexed processes. Journal of Theoretical Probability 15, 553-558.
• B.G. Ivanoff and E. Merzbach (2000). A Skorokhod topology for a class of set-indexed functions. Skorokhod's Ideas in Probability Theory, V. Korolyuk, N. Portenko, H. Syta, eds. Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine 32, 172-178.
• B.G. Ivanoff and N.C. Weber (1998). Tail probabilities for weighted sums of products of normal random variables. Bulletin of the Australian Mathematical Society 58, 239-244.
• B.G. Ivanoff and E. Merzbach (1997). Poisson convergence for set-indexed empirical porcesses. Statistics and Probability Letters 32, 81-86.
• B.G. Ivanoff, Y-X. Lin and E. Merzbach (1996). Weak convergence of set-indexed point processes. Theory of Probability and Mathematical Statistics 55, 46-58.
• B.G. Ivanoff and E. Merzbach (1996). A martingale characterization of the set-indexed Brownian motion. Journal of Theoretical Probability 9, 903-913.
• A. Dabrowski, Y. Fang and B.G. Ivanoff (1996). Strong approximations for multiparameter martingales. Stochastics and Stochastics Reports 56, 241-270.
• B.G. Ivanoff and N.C. Weber (1996). Some characterizations of partial exchangeability. Journal of the Australian Mathematical Society Series A 61, 345-359.
• B.G. Ivanoff (1996). Stopping times and tightness for multiparameter martingales. Statistics and Probability Letters 28, 111-114.

• B. G. Ivanoff (2003) Set-indexed processes: distributions and weak convergence. In Topics in Stochastic Spatial Processes, Lecture Notes in Mathematics 1802, Sringer-Verlag, Berlin, 85-125.

4. Articles in refereed conference proceedings:

• A. Carbarin-Aguirre, B.G. Ivanoff and A. Jordan (2007). Filtering of multiparameter processes: theory and applications. In Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Springer-Verlag, 103-114.
• B.G. Ivanoff and E. Merzbach (2000). Set-indexed Markov processes. In Stochastic Models, Canadian Mathematical Society Conference Proceedings 26,  217-232.
• B.G. Ivanoff and N.C. Weber (1998). A maximal inequality and tightness for multiparameter stochastic processes. In Asymptotic Methods in Probability and Statistics, B. Szyszkowicz, ed. Elsevier Science, 359-369.