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Partition Structures Derived from Brownian Motion and Stable Subordinators
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Brownian bridge asymptotics for random mappings
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Markovian Bridges: Construction, Palm Interpretation, and Splicing
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Continuous Martingales and Brownian Motion
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Continuous Martingales and Brownian Motion
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Population Genetics Theory - The Past and the Future
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The sampling theory of neutral alleles and an urn model in population genetics
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Size-biased sampling of Poisson point processes and excursions
inferredcites →https://doi.org/10.1007/bf01213386openalex-snapshot
Exchangeable and partially exchangeable random partitions
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Exchangeability and related topics
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Coherent random allocations, and the Ewens-Pitman formula
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An introduction to probability theory and its applications
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Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
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Discrete Mittag-Leffler distributions
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Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex
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Excursions of dual processes
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Diffusions, Markov Processes and Martingales
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Random discrete distributions invariant under size-biased permutation
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Size-biased filtering of Poisson–Dirichlet samples with an application to partition structures in genetics
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Random Discrete Distributions
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The Representation of Partition Structures
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Arcsine Laws and Interval Partitions Derived from a Stable Subordinator
inferredcites →https://doi.org/10.1137/1114012openalex-snapshot
Symmetric Stable Processes as Traces of Degenerate Diffusion Processes
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An Invariance Principle in Renewal Theory
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The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
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The representation of composition structures
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Discrete Analogues of Self-Decomposability and Stability
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Random Discrete Distributions Derived from Self-Similar Random Sets
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Central Limit Theorems for Certain Infinite Urn Schemes
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Fluctuation identities for lévy processes and splitting at the maximum
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An Introduction to Probability Theory and Its Applications.
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An Introduction to Probability Theory and its Applications.
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The stationary distribution of the infinitely-many neutral alleles diffusion model
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Size-biased filtering of Poisson–Dirichlet samples with an application to partition structures in genetics
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Bayesian Inference Via Classes of Normalized Random Measures
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On the Poisson–Dirichlet Limit
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Two Recursive Decompositions of Brownian Bridge Related to the Asymptotics of Random Mappings
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Exchangeable and partially exchangeable random partitions
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Marked excursions and random trees
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A fragmentation process connected to Brownian motion
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Homogeneous fragmentation processes
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Extreme sizes in Gibbs-type exchangeable random partitions
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Ages of Records in Random Walks
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Exchangeable Gibbs partitions and Stirling triangles
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Self-similar and Markov composition structures
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Evaluating Moments of Length of Pitman Partition
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Ordered sample from two-parameter GEM distribution
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Prediction rules for exchangeable sequences related to species sampling
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Shortest excursion lengths
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Applications of the continuous-time ballot theorem to Brownian motion and related processes
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Coalescent processes obtained from supercritical Galton–Watson processes
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Gibbs partitions, Riemann–Liouville fractional operators, Mittag–Leffler functions, and fragmentations derived from stable subordinators
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Asymptotics of the allele frequency spectrum and the number of alleles
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Scaled Process Priors for Bayesian Nonparametric Estimation of the Unseen Genetic Variation
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Record statistics of a strongly correlated time series: random walks and Lévy flights
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A Feynman–Kac approach to a paper of Chung and Feller on fluctuations in the coin-tossing game
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Patterns and exchangeability
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Gibbs Sampling Methods for Stick-Breaking Priors
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Poisson calculus for spatial neutral to the right processes
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Regenerative composition structures
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Recursive partition structures
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Beta-coalescents and continuous stable random trees
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Regenerative tree growth: Binary self-similar continuum random trees and Poisson–Dirichlet compositions
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Regeneration in random combinatorial structures
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Exchangeable partitions derived from Markovian coalescents
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Bayesian Poisson calculus for latent feature modeling via generalized Indian Buffet Process priors
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Coalescences in continuous-state branching processes
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Diffusions on a space of interval partitions: Poisson–Dirichlet stationary distributions
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Up-down ordered Chinese restaurant processes with two-sided immigration, emigration and diffusion limits
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Large deviation principles for some random combinatorial structures in population genetics and Brownian motion
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Coalescents With Multiple Collisions
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The standard additive coalescent
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Coalescents With Multiple Collisions
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Brownian excursions, critical random graphs and the multiplicative coalescent
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The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
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The representation of composition structures
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A Species Sampling Model with Finitely Many Types
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Random Discrete Distributions Derived from Self-Similar Random Sets
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Asymptotics for the number of blocks in a conditional Ewens-Pitman sampling model
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Large deviation principles for the Ewens-Pitman sampling model
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Brownian Motion, Bridge, Excursion, and Meander Characterized by Sampling at Independent Uniform Times
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The Law of the Maximum of a Bessel Bridge
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Two Coalescents Derived from the Ranges of Stable Subordinators
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The Joint Law of Ages and Residual Lifetimes for Two Schemes of Regenerative Sets
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Some developments of the Blackwell-MacQueen urn scheme
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Exploration trees and conformal loop ensembles
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A reversible allelic partition process and Pitman sampling formula
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Binary sequential representations of random partitions
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Exchangeable partitions derived from Markovian coalescents with simultaneous multiple collisions
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Gibbs Partitions (EPPF's) Derived From a Stable Subordinator are Fox H and Meijer G Transforms
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A Species Sampling Model with Finitely many Types
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A Feyman-Kac approach to a paper of Chung and Feller on fluctuations in the coin-tossing game
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Asymptotics of continuous-time discrete state space branching processes for large initial state
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Posterior distributions for Hierarchical Spike and Slab Indian Buffet processes
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MOMENTS OF SOME STATISTICS OF PITMAN SAMPLING FORMULA
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