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Yuri Belyaev

Institutionen för matematik och matematisk statistik 

Department of Mathematics and Mathematical Statistics, University of Umeå

 

Scientific Interests

  • Asymptotic methods in statistical analysis of large data sets

  • Computer intensive methods in statistical analysis (resampling, bootstrap, MCMC, etc)

  • Martingale methods in statistics

  • Regression analysis

  • Point processes

  • Reliability theory

  • Statistical methods in creation and improvement accuracy of digital images 

  Adress:   Department of Mathematics and Mathematical

  Statistics, University of Umeå, SE-901 87 Umeå Sweden

  Telnr:   +46 (90) 786 -79 10 (82 00)

  Faxnr:   +46 (90) 786 76 58

  E-post:   Yuri.Belyaev@math.umu.se 

 

Selected publications

 

I have published near 200 papers in Probability and its applications.

 

Books

 

Belyaev, Yu. K. und Kahle, W. (2000) Methoden der Wahrscheinlichkeitsrechnung und Statistik bei der Analise von ZuverlÄssigkeitsdaten. Teubner Verlag.

(In German)

 

 

 

Belyaev, Yu. K. and Nosko, V. P. (1998) Basic Notions of Mathematical Statictics and Exercises. Moscow University Press. (In Russian)

 

 

 

 

 

Belyaev, Yu.K. (1995)  Bootstrap, Resampling and Mallows Metric. Lecture Notes 1, Institute of Mathematical Statistics, UmeÅ University.

 

 

 

 

Papers and Research Reports

 

  1. Belyaev, Yu. K. (2005) Application of Clustered Resampling Methods in Assessing Accuracy of Cross-Validated Estimators of Cross-Classification Probabilities of Nearest-Neighbor Classifiers, Research Report 2005-1, Centre of Biostochastics,  Swedish University of Agricultural Sciences.  http://biostochastics.slu.se/publikationer/dokument/report2005_1.pdf 

  2. Belyaev, Yu. K. (2004) Application of Resampling Methods to Linear Heteroscedastic Regression with Vector Responses. Research Report 2004-2, Department of Mathematical Statistics, UmeÅ University. http://www.matstat.umu.se/varia/reports.html#2004    

  3. Lindkvist, H. and Belyaev, Yu. K. (2004) Asymptotic properties of estimators in a model of life data with warnings. Communications in statistics, Theory and methods, 34, 2.

  4. Belyaev, Yu. K. (2003) Application of Resampling to Linear Heteroscedastic Regression. Bulletin of the International Statistical Institute. Contributed papers, v. LX, pp.81-82.

  5. Belyaev, Yu. K. (2003) Necessary and Sufficient Conditions for Consistency of Resampling, Research Report 2003-1, Centre of Biostochastics, Swedish University of Agricultural Sciences, Sweden. http://biostochastics.slu.se/publikationer/dokument/report2003_1.pdf 

  6. Belyaev, Yu. K. (2003) On the Accuracy of Classifiers and Corresponding Digital Discretely Colored Images. Theory Probability and Math. Statist., American Mathematical Society, 66, pp.15-25.

  7. Belyaev, Yu. K. and Nosko, V. P. (2003) Discrete Classifiers and Subsequent Estimators. Abstracts of communications . International Conference ⌠Kolmogorov and Contemporary Mathematics■. Moscow Lomonosov University, p.397.

  8. Belyaev, Yu. K. (2002) Comment to the paper "Some Cracs in the Empire of Chance" by Singpurwalla N. D. International Statistical Review, 70, 1, pp.53-78.

  9. Belyaev, Yu. K., Buslaev, A. P., Seleznjev, O. V., Tatashev, A. G., Yashina, M. V. (2002) A Markov Approximation of a Stochastic Model of Traffic Flow Along Two Bands Road. Research Report, Moscow Auto-Road Technical University, Moscow.

  10. Belyaev, Yu. K.(2001) Unbiased Estimation of Accuracy of Digital Discretely Colored Images. Theory Probability and Math. Statist., 63, pp.13-20.

  11. EkstrÆm, M. and Belyaev, Yu. (2001) On the Estimation of the Distribution of Sample Means Based on Non-Stationary Spatial Data. Working Paper, 89-2001, Department of Forest Resource Management and Geomatics, SLU, Sweden.

  12. Lindkvist, H. and Belyaev, Yu. (2001) Asymptotic Properties of Estimators in a Model with Life Data with Warnings. Research Report 2001-5, Department of Mathematical Statistics, UmeÅ University, Sweden.

  13. Belyaev, Yu.K. (2000) Computer Intensive Methods Based  on Resampling in Analysis of Reliability and Survival Data, in Book  "Recent Advances in Reliability Data", BirkhÄuser, Boston.

  14. Belyaev, Y. K. (2000)  On the Accuracy of Discretely Colored Maps Created by Classifying Remotely Sensed Data. Research Report 2000-10, Department of Forest Resource Management and Geomatics, Sweden, pp. 1 - 50.

  15. Belyaev, Yu. K. and Nilsson, L.  (2000)  On Consistency of Maximum Likelihood Estimators based on Resampled Data. Research Report 2000-5, Department of Mathematical Statistics, UmeÅ University, Sweden.

  16. Belyaev, Yu. K. and RydÈn, P. (2000) On Non-Parametric Estimation of Poisson Point Processes Related to Failure Stresses of Fibres. Research Report 2000-1, Department of Mathematical Statistics, UmeÅ University, Sweden.

  17. Belyaev, Yu. K. and Seleznjev, O. V. (2000) Approaching  in Distribution with applications to Resampling of Stochastic Processes.  Scand. Journ. of Statistics, 27, No 2, pp.371-384.

  18. Belyaev, Yu.K. and SjÆstedt-de Luna, S. (2000)  Weakly approaching sequences of random distributions. Journal of Applied Probability, 37, No 3,  pp.807-822.

  19. Seleznjev O. and Belyaev Yu. (2000) Applying resampling to random processes problems in Proceedings in Computational Statistics, 14th Symposium, Utrecht, Editors W. Jensen and J. G. Bethlehem, Statistics Netherlands, pp.255-256.

  20. Lindkvist, H. and Belyaev, Yu. K. (1998) A class of nonparametric tests in the competing risks model for comparing two samples. Scandinavian Journal of Statistics, 25, pp.143-150.

  21. Nilsson, L. and Belyaev, Yu. K. (1998) Application of Resampling to Exponential and Logistic Regression. Research Report 1998-1, Department of Mathematical Statistics, UmeÅ University, Sweden.

  22. Wiklund, F., Eklund, J. and Belyaev, Yu. K. (1998) Prediction of Cancer Incidence. Research Report 1998-5, Department of Mathematical Statistics, UmeÅ University, Sweden.

  23. Belyaev, Yu. K. (1997) The Continuity Theorem and its Application to Resampling from sums of Random Variables. Theory of Stochastic Processes, 3, No 1-2, pp. 100-109.

  24. Belyaev, Yu. K. and Chistyakova, N. V. (1997) On the exactness of additive estimators for risk functions of regenerative Poisson-type processes.  Probability and its application Ltd, Moscow.

  25. Belyaev, Yu. K. and Nilsson, L. (1997) Parametric Maximum Likelihood Estimators and Resampling. Research Report 1997-15, Department of Mathematical Statistics, UmeÅ University, Sweden.

  26. Belyaev, Yu. K. and  RydÈn, P. (1997) Non-Parametric Estimators of Risk Functions of Tensile Strengths of Wires and Their Deviations. Theory of Stochastic Processes, 3, No 1-2, pp. 110-120.

  27. Belyaev, Yu. K. and Seleznjev O. V. (1997) Resampling and distributions of functionals of random processes. Research Report 1997-10, Department of Mathematical Statistics, UmeÅ University, Sweden.

  28. Belyaev, Yu. K. and SjÆstedt, S. (1997) Resampling from Independent Heterogeneous Random Variables with Varying Mean Values. Theory of Stochastic Processes, 3, No 1-2, pp.121-131.

  29. Belyaev, Yu. K. and SjÆstedt, S. (1997) Resampling Theorems for independent Random variables with Varying Mean Values. Research Report 1997-9, Department of Mathematical Statistics, UmeÅ University, Sweden.

  30. Belyaev, Yu. K. (1996) Central Limit Resampling Theorems for m-Dependent Heterogeneous Random Variables. Research Report 1996-5, Department of Mathematical Statistics, UmeÅ University, Sweden.

  31. Belyaev, Yu. K. (1996) Weakly Approaching Sequences of Random Distribution Laws with Applications to Resampling. Research Report 1996-8, Department of Mathematical Statistics, UmeÅ University, Sweden.

  32. Belyaev, Yu. K. (1996) Resampling methods in non-parametric estimation related to renewal processes. Journal of Mathematical Sciences, 81, 2888-2893.

  33. Belyaev, Yu. K. and SjÆstedt, S. (1996) Resampling Theorems for Vector Valued Heterogenious Random Variables. Research Report 1996-9, Department of Mathematical Statistics, UmeÅ University, Sweden

  34. Belyaev, Yu. K. and Lindkvist H. (1994) A nonparametric estimation of the cumulative hazard function based on subsets of censored survival data. Research Report 1994-10, Department of Mathematical Statistics, UmeÅ University, Sweden.