2 citations · 3 across the 9 of their papers we have counts for
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Central limit theorem for the homozygosity of the hierarchical Pitman-Yor process
Shui Feng, J. E. Paguyo
The hierarchical Pitman-Yor process is a discrete random measure used as a prior in Bayesian nonparametrics. It is motivated by the study of groups of clustered data exhibiting pow…
Analysis of a twisted Bose-Einstein Markov chain with applications to sampling Catalan structures
Ivan Z. Feng, J. E. Paguyo
We analyze a twisted Bose-Einstein Markov chain on arising from the Diaconis-Zhong twisted Burnside process. We derive explicit formulas for the transition kernel and stati…
Limit distributions for cycles of random parking functions
J. E. Paguyo, Mei Yin
We study the asymptotic behavior of cycles of uniformly random parking functions. Our results are multifold: we obtain an explicit formula for the number of parking functions with…
Asymptotic behavior of clusters in hierarchical species sampling models
Stefano Favaro, Shui Feng, J. E. Paguyo
Consider a random sample of size from a hierarchical species sampling model. In this paper, we study the large asymptotic behavior of the number of clusters in…
Central limit theorems associated with the hierarchical Dirichlet process
Shui Feng, J. E. Paguyo
The hierarchical Dirichlet process is a discrete random measure used as a prior in Bayesian nonparametrics and motivated by the study of groups of clustered data. We study the asym…
Central limit theorem for crossings in randomly embedded graphs
Santiago Arenas-Velilla, Octavio Arizmendi, J. E. Paguyo
We consider the number of crossings in a random embedding of a graph, , with vertices in convex position. We give explicit formulas for the mean and variance of the number of cr…
Mixing times of a Burnside process Markov chain on set partitions
J. E. Paguyo
Let be a finite set and let be a finite group acting on . The group action splits into disjoint orbits. The Burnside process is a Markov chain on which has a uni…
Cycle structure of random parking functions
J. E. Paguyo
We initiate the study of the cycle structure of uniformly random parking functions. Using the combinatorics of parking completions, we compute the asymptotic expected value of the…
Fixed points, descents, and inversions in parabolic double cosets of the symmetric group
J. E. Paguyo
We consider statistics on permutations chosen uniformly at random from fixed parabolic double cosets of the symmetric group. We show that the distribution of fixed points is asympt…
Convergence rates of limit theorems in random chord diagrams
J. E. Paguyo
We study the asymptotic distributions of the number of crossings and the number of simple chords in a random chord diagram. Using size-bias coupling and Stein's method, we obtain b…