Size-biased sampling of Poisson point processes and excursions

From MaRDI portal
Publication:1184043

DOI10.1007/BF01205234zbMath0741.60037OpenAlexW2011342110MaRDI QIDQ1184043

Mihael Perman, Jim W. Pitman, Marc Yor

Publication date: 28 June 1992

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01205234




Related Items (only showing first 100 items - show all)

A unified construction for series representations and finite approximations of completely random measuresStick-Breaking Processes With Exchangeable Length VariablesFunctional central limit theorems for stick-breaking priorsBayesian Nonparametric Scalar-on-Image Regression via Potts-Gibbs Random Partition ModelsBayesian Modeling of Sequential DiscoveriesConformal welding of quantum disksDiffusions on a space of interval partitions: the two-parameter modelExact simulation of Poisson-Dirichlet distribution and generalised gamma processA Vervaat-like path transformation for the reflected Brownian bridge conditioned on its local time at 0Generalized Poisson--Dirichlet Distributions Based on the Dickman SubordinatorAsymptotic Behaviour of Poisson-Dirichlet Distribution and Random Energy ModelBayesian nonparametric location-scale-shape mixturesSome extensions of the arc sine law as partial consequences of the scaling property of Brownian motionA conversation with Jim PitmanThe structure of the allelic partition of the total population for Galton-Watson processes with neutral mutationsExact and approximate sum representations for the Dirichlet processImportance conditional sampling for Pitman-Yor mixturesExchangeable and partially exchangeable random partitionsTwo-parameter family of infinite-dimensional diffusions on the Kingman simplexMarkovian structure in the concave majorant of Brownian motionThe two-parameter Poisson-Dirichlet distribution derived from a stable subordinatorDistributions of random partitions and their applicationsOrdered and size-biased frequencies in GEM and Gibbs' models for species samplingSubordinators and the actions of permutations with quasi-invariant measureThe two-parameter Poisson-Dirichlet point processBeta-binomial stick-breaking non-parametric priorBrownian bridge asymptotics for random mappingsSize-biased permutation of a finite sequence with independent and identically distributed termsRegenerative tree growth: Markovian embedding of fragmenters, bifurcators, and bead splitting processesGeneralized Stirling permutations, families of increasing trees and urn modelsA quasi-Bayesian change point detection with exchangeable weightsAsymptotic behavior of some factorizations of random wordsBayesian Models Applied to Cyber Security Anomaly Detection ProblemsOn the stick-breaking representation of \(\sigma\)-stable Poisson-Kingman modelsPosterior analysis of rare variants in Gibbs-type species sampling modelsRegenerative random permutations of integersA Berry-Esseen theorem for Pitman's \(\alpha\)-diversityTruncated Poisson-Dirichlet approximation for Dirichlet process hierarchical modelsOn a nonparametric change point detection model in Markovian regimesBayesian nonparametric inference for shared species richness in multiple populationsDistributions of linear functionals of two parameter Poisson-Dirichlet random measuresSufficientness postulates for Gibbs-type priors and hierarchical generalizationsAdaptive-modal Bayesian nonparametric regressionThe convex minorant of a Lévy processSampling hierarchies of discrete random structuresPredictive construction of priors in Bayesian nonparametricsA simple proof of the almost sure discreteness of a class of random measures.Pricing risky debts under a Markov-modulated Merton model with completely random measuresTwo-Parameter Poisson–Dirichlet Measures and Reversible Exchangeable Fragmentation–Coalescence ProcessesGibbs-type Indian buffet processesInfinite mixtures of infinite factor analysersSize biased sampling from the Dickman subordinatorPricing participating products under a generalized jump-diffusion modelBoundary driven zero-range processes in random mediaPosterior Analysis for Normalized Random Measures with Independent IncrementsTruncated random measuresSome properties of stationary continuous state branching processesContinuum tree asymptotics of discrete fragmentations and applications to phylogenetic mod\-elsLimiting behaviour of the stationary search cost distribution driven by a generalized gamma processAges of records in random walksPosteriors, conjugacy, and exponential families for completely random measuresIdentifying the recurrence of sleep apnea using a harmonic hidden Markov modelOn a Gibbs characterization of normalized generalized gamma processesThe coalescence of intrahost HIV lineages under symmetric CTL attackSpecies Dynamics in the Two-Parameter Poisson-Dirichlet Diffusion ModelGamma-Dirichlet algebra and applicationsApplications of the continuous-time ballot theorem to Brownian motion and related processes.Pricing participating products with Markov-modulated jump-diffusion process: an efficient numerical PIDE approachPricing Options Under a Generalized Markov-Modulated Jump-Diffusion ModelAsymptotic results for the two-parameter Poisson-Dirichlet distributionThe falling apart of the tagged fragment and the asymptotic disintegration of the Brownian height fragmentationA reversible allelic partition process and Pitman sampling formulaSpectrum of large random reversible Markov chains: heavy-tailed weights on the complete graphApproximating predictive probabilities of Gibbs-type priorsLamperti-type lawsMultiscale stick-breaking mixture modelsThe ubiquitous Ewens sampling formulaA simple proof of Pitman-Yor's Chinese restaurant process from its stick-breaking representationOn the topological support of species sampling priorsNonparametric Variable Selection, Clustering and Prediction for Large Biological DatasetsOn a class of \(\sigma \)-stable Poisson-Kingman models and an effective marginalized samplerOn the equivalence of some eternal additive coalescentsMCMC for normalized random measure mixture modelsDiscussion of ``On simulation and properties of the stable law by L. Devroye and L. JamesDiscussion of ``On simulation and properties of the stable law by L. Devroye and L. JamesDiffusions on a space of interval partitions: Poisson-Dirichlet stationary distributionsStochastic approximations to the Pitman-Yor processExact simulation of two-parameter Poisson-Dirichlet random variablesStick-breaking representation and computation for normalized generalized gamma processesNonexchangeable random partition models for microclusteringPredictive inference with Fleming-Viot-driven dependent Dirichlet processesA dynamic model for the two-parameter Dirichlet processLimit theorems associated with the Pitman–Yor processCoalescent random forestsBayesian nonparametric disclosure risk assessmentBayesian nonparametric change point detection for multivariate time series with missing observationsThe sampling formula and Laplace transform associated with the two-parameter Poisson-Dirichlet distributionComment: ``Bayes, oracle Bayes and empirical BayesPath decompositions of perturbed reflecting Brownian motionsGibbs partitions, Riemann–Liouville fractional operators, Mittag–Leffler functions, and fragmentations derived from stable subordinators



Cites Work


This page was built for publication: Size-biased sampling of Poisson point processes and excursions