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Video tutorials on Stein's method

  • Lecture 1: Basics, normal approximation with dependency graphs
    [Video] [Slides]
     
  • Lecture 2: Poisson approximation with size-biasing
    [Video] [Slides]
     
  • Lecture 3: Multivariate normal approximation with exchangeable pairs, process approximation
    [Video] [Slides]

Published:

  1. Gaussian random field approximation via Stein's method with applications to wide random neural networks
    (with K. Balasubramanian, L. Goldstein, and A. Salim).
    Appl. Comput. Harmon. Anal. 72 (2024).
    [arXiv Preprint] [Published Version]
     
  2. Stein's method, smoothing and functional approximation
    (with A. D. Barbour and G. Zheng).
    Electron. J. Probab. 29, 29 pages (2024).
    [Published Version] [arXiv Preprint] [Talk Video]
     
  3. Stein's method, Gaussian processes and Palm measures, with applications to queueing
    (with A. D. Barbour and G. Zheng).
    Ann. Appl. Probab. 33 (5), 3835-3871 (2023).
    [Published Version] [arXiv Preprint] [Talk Video]
     
  4. Stein's method for the Poisson-Dirichlet distribution and the Ewens Sampling Formula, with applications to Wright-Fisher models
    (with H. L. Gan).
    Ann. Appl. Probab. 31 (2), 625-667 (2021).
    [Published Version] [arXiv Preprint]
     
  5. Local limit theorems for occupancy models
    (with A. D. Barbour and P. Braunsteins).
    Random Structures Algorithms. 58 (1), 3-33 (2021).
    [Published Version] [arXiv Preprint]
     
  6. The probability of intransitivity in dice and close elections
    (with J. Hązła, E. Mossel, and G. Zheng).
    Probab. Theory Related Fields. 178 (3-4), 951-1009 (2020).
    [Published Version] [arXiv Preprint]
     
  7. Central moment inequalities using Stein's method
    (with A. D. Barbour and Y. Wen).
    Electron. J. Probab. 25, paper no. 91, 21 pages (2020).
    [Published Version] [arXiv Preprint]
     
  8. Exponential and Laplace approximation for occupation statistics of branching random walk
    (with E. Peköz and A. Röllin).
    Electron. J. Probab. 25, paper no. 55, 22 pages (2020).
    [Published Version] [arXiv Preprint]
     
  9. Approximating stationary distributions of fast mixing Glauber dynamics, with applications to exponential random graphs.
    (with G. Reinert).
    Ann. Appl. Probab. 29 (5), 3201-3229 (2019).
    [Published Version] [arXiv Preprint]
     
  10. Error bounds in local limit theorems using Stein's method
    (with A. D. Barbour and A. Röllin).
    Bernoulli 25 (2), 1076-1104 (2019).
    [Published Version] [arXiv Preprint]
     
  11. Shotgun assembly of labeled graphs
    (with E. Mossel).
    IEEE Trans. Netw. Sci. Eng. 6 (2), 145-157 (2019).
    [Published Version] [arXiv Preprint]
     
  12. Pólya urns with immigration at random times
    (with E. Peköz and A. Röllin).
    Bernoulli 25 (1), 189-220 (2019).
    [Published Version] [arXiv Preprint]
     
  13. Source-Based Jamming for Physical-Layer Security on Untrusted Full-Duplex Relay.
    S. Atapattu, N. Ross Y. Jing, M. Premaratne.
    IEEE Commun. Letters 23 (5), 842-846 (2019).
    [Published Version] [Accepted Version]
     
  14. Physical-Layer Security in Full-Duplex Multi-Hop Multi-User Wireless Network with Relay Selection.
    S. Atapattu, N. Ross Y. Jing, Y. He J. Evans.
    IEEE Trans. Wireless Commun. 18 (2), 1216-1232 (2019).
    [Published Version] [Preprint]
     
  15. Scaling limits for some random trees constructed inhomogeneously
    (with Y. Wen).
    Electron. J. Probab. 23, paper no. 5, 35 pages (2018).
    [Published Version] [arXiv Preprint]
     
  16. When do wireless network signals appear Poisson?
    (with H. P. Keeler and A. Xia).
    Bernoulli 24 (3), 1973-1994 (2018).
    [Published Version] [arXiv Preprint]
     
  17. Dirichlet approximation of equilibrium distributions in Cannings models with mutation
    (with H. L. Gan and A. Röllin).
    Adv. Appl. Probab. 49 (3), 927-959 (2017).
    [Published Version] [arXiv Preprint]
     
  18. Joint degree distributions of preferential attachment random graphs
    (with E. Peköz and A. Röllin).
    Adv. Appl. Probab. 49 (2), 368-387 (2017).
    [Published Version] [arXiv Preprint]
     
  19. Wireless network signals with moderately correlated shadowing still appear Poisson
    (with D. Schuhmacher).
    IEEE Trans. Inf. Theory 63 (2), 1177-1198 (2017).
    [Published Version] [arXiv Preprint]
     
  20. Generalized gamma approximation with rates for urns, walks and trees
    (with E. Peköz and A. Röllin).
    Ann. Probab. 44 (3), 1776-1816 (2016).
    [Published Version] [arXiv Preprint]
     
  21. Local limit theorems via Landau-Kolmogorov inequalities
    (with A. Röllin).
    Bernoulli 21, 851-880 (2015).
    [Published Version] [arXiv Preprint]
     
  22. Can one hear the shape of a population history?
    (with J. Kim, E. Mossel and M. Rácz).
    Theor. Popul. Biol. 100, 26-38 (2015).
    [Published Version] [arXiv Preprint]
     
  23. Analytical results for the distribution of shortest path lengths in random networks.
    E. Katzav, M. Nitzan, D. ben-Avraham, P. L. Krapivsky, R. Kühn, N. Ross, O. Biham.
    Europhysics Lett. 111 (2), 26006 (2015).
    [Published Version] [arXiv Preprint]
     
  24. Entropy of some models of sparse random graphs with vertex-names
    (with D. Aldous).
    Probab. Engrg. Inform. Sci. 28 (2), 145-168 (2014).
    [Published Version] [arXiv Preprint]
     
  25. Power laws in preferential attachment graphs and Stein's method for the negative binomial distribution.
    Adv. Appl. Probab. 45 (3), 876-893 (2013).
    [Published Version] [arXiv Preprint]
     
  26. Exponential approximation and Stein's method of exchangeable pairs
    (with J. Fulman).
    ALEA Lat. Am. J. Probab. Math. Stat. 10, 1-13 (2013).
    [Published Version] [arXiv Preprint]
     
  27. Degree asymptotics with rates for preferential attachment random graphs
    (with E. Peköz and A. Röllin).
    Ann. Appl. Probab. 23 (3), 1188-1218 (2013).
    [Published Version] [arXiv Preprint]
     
  28. Total variation error bounds for geometric approximation
    (with E. Peköz and A. Röllin).
    Bernoulli 19 (2), 610-632 (2013).
    [Published Version] [arXiv Preprint]
     
  29. Archimedes, Gauss, and Stein
    (with J. Pitman).
    Notices Amer. Math. Soc. 59 (10), 1416-1421 (2012).
    [Published Version] [arXiv Preprint]
     
  30. The greatest convex minorant of Brownian motion, meander, and bridge
    (with J. Pitman).
    Probab. Theory Related Fields. 153 (3-4), 771-807 (2012).
    [Published Version] [arXiv Preprint]
     
  31. Fundamentals of Stein's method. Survey article spun off the lecture notes of Berkeley graduate course Stat 206B.
    Probab. Surveys. 8, 210-293 (2011).
    [Published Version] [arXiv Preprint]
     
  32. Convex minorants of random walks and Lévy processes
    (with J. Abramson, J. Pitman and G. Uribe Bravo).
    Electron. Comm. Probab. 16, 423-434 (2011).
    [Published Version] [arXiv Preprint]
     
  33. Step size in Stein's method of exchangeable pairs.
    Combin. Probab. Comput. 18 (6), 979-1017 (2009).
    [Published Version] [arXiv Preprint]
     
 

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