1. H. Crane, S. DeSalvo and S. Elizalde. (2016). The probability of avoiding consecutive patterns in the Mallows distribution.
  2. H. Crane and W. Dempsey. (2016). Relational exchangeability.
  3. H. Crane and W. Dempsey. (2016). Edge exchangeable models for network data.
  4. H. Crane and W. Dempsey. (2015). A framework for statistical network modeling.
  5. H. Crane and H. Towsner. (2016). Relative exchangeability with equivalence relations.
  6. H. Crane and H. Towsner. (2016). The structure of combinatorial Markov processes.
  7. H. Crane and H. Towsner. (2015). Relatively exchangeable structures.
  8. H. Crane. (2016). A resolution to de Finetti's paradox.
  9. H. Crane. (2016). Combinatorial Levy processes.
  10. H. Crane. (2016). A hidden Markov model for latent temporal clustering.
  11. 2017

  12. H. Crane. (2017). Exchangeable graph-valued Feller processes. Probability Theory and Related Fields, in press.
  13. H. Crane. (2017). Generalized Markov branching tree models. Advances in Applied Probability, 49(1), in press.
  14. 2016

  15. H. Crane. (2016). The ubiquitous Ewens sampling formula (with discussion and a rejoinder by the author). Statistical Science, 31(1):1-39.
  16. H. Crane. (2016). Dynamic random networks and their graph limits. Annals of Applied Probability, 26(2):691-721.
  17. H. Crane and S.P. Lalley. (2016) Exchangeable Markov processes on [k]^N with cadlag sample paths. Journal of Theoretical Probability, 29 :206-230.
  18. 2015

  19. H. Crane. (2015). Clustering from categorical data sequences. Journal of the American Statistical Association 110(510):810-823. data sets
  20. H. Crane. (2015). Generalized Ewens-Pitman model for Bayesian clustering. Biometrika, 102(1), 231-238.
  21. H. Crane. (2015). Time-varying network models. Bernoulli 21(3):1670-1696.
  22. H. Crane. (2015). Lipschitz partition processes. Bernoulli 21(3):1386-1411.
  23. H. Crane and P. McCullagh. (2015). Poisson superposition processes. Journal of Applied Probability, 52(4):1013-1027.
  24. H. Crane and P. McCullagh. (2015). Reversible Markov structures on divisible set partitions. Journal of Applied Probability, 52(3):622-635.
  25. H. Crane. (2015). Left-right arrangements, set partitions, and pattern avoidance . Australasian Journal of Combinatorics, 61(1):57-72.
  26. 2014

  27. H. Crane. (2014). The cut-and-paste process. Annals of Probability, 42(5):1952-1979.
  28. 2013

  29. H. Crane. (2013). Permanental Partition Models and Markovian Gibbs Structures. Journal of Statistical Physics, 153:698-726.
  30. H. Crane. (2013). Some algebraic identities for the alpha-permanent. Linear Algebra and Its Applications, 439(11):3445-3459.
  31. H. Crane. (2013). Consistent Markov branching trees with discrete edge lengths. Electronic Communications in Probability, 18(paper no. 73):1-14.
  32. H. Crane and S.P. Lalley. (2013). Convergence rates of Markov chains on spaces of partitions. Electronic Journal of Probability, 18(paper no. 61):1-22.
  33. 2011

  34. H. Crane. (2011). A consistent Markov partition process generated by the paintbox process. Journal of Applied Probability, 23(3):778-791.

Unpublished notes

  1. H. Crane and W. Dempsey. (2015). Community detection for interaction networks.
  2. H. Crane and W. Dempsey. (2015). Atypical scaling behavior persists in real world interaction networks.

Please send questions and comments to hcrane@stat.rutgers.edu.