Results 11 to 20 of about 513 (127)
Gaussian Limits Associated with the Poisson-Dirichlet Distribution and the Ewens Sampling Formula
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, Thomas G Kurtz
exaly +4 more sources
The Ewens sampling formula is well-known as a distribution of a random partition of the positive integer n. For the number of distinct components of the Ewens sampling formula, we derive its Edgeworth expansion. It is different from the Edgeworth expansion for the sum of independent and identicallydistributed random variables.
Hajime Yamato
exaly +3 more sources
Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
It has recently been shown that the Ewens sampling formula may be generated by a Polya-like urn model. A genealogical proof of this result equates the labelling of balls in the urn to the partition by age of alleles in the sample. This urn construction is shown to be equivalent to the construction of Kingman (Proc. Roy. Soc. London Ser. A 361 (1978), 1-
Peter Donnelly
exaly +5 more sources
A FINITARY CHARACTERIZATION OF THE EWENS SAMPLING FORMULA [PDF]
The clustering of agents in the market is a typical problem dealt with in recent approaches to macroeconomic modeling, describing macroscopic variables in terms of the behavior of a large collection of microeconomic entities. Clustering is subject to many economic interpretations, often described by the Ewens Sampling Formula (ESF).
U. GARIBALDI, D. COSTANTINI, P. VIARENGO
openaire +8 more sources
The Importance of Effective Population Size in Conservation and Biodiversity Monitoring. [PDF]
ABSTRACT Effective population size (Ne) is a key concept in biology and conservation. Stripped to its bare essentials, it reflects how much genetic drift a population experiences, expressed as a number of individuals of an ideal theoretical population. Superficially, Ne seems like a fairly simple concept, but the more layers of the onion you peel, the ...
Mergeay J +3 more
europepmc +2 more sources
A Compound Poisson Perspective of Ewens–Pitman Sampling Model
The Ewens–Pitman sampling model (EP-SM) is a distribution for random partitions of the set {1,…,n}, with n∈N, which is indexed by real parameters α and θ such that either α∈[0,1) and θ>−α, or ...
Emanuele Dolera, Stefano Favaro
doaj +1 more source
Bayes in Wonderland! Predictive Supervised Classification Inference Hits Unpredictability
The marginal Bayesian predictive classifiers (mBpc), as opposed to the simultaneous Bayesian predictive classifiers (sBpc), handle each data separately and, hence, tacitly assume the independence of the observations.
Ali Amiryousefi +2 more
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A sharp inequality for the variance with respect to the Ewens sampling formula [PDF]
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Baronėnas, Žygimantas +2 more
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Central limit theorem in the symmetric group
In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. Using the results obtained by E.
Vytas Zacharovas
doaj +3 more sources
Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity
We give a probabilistic interpretation of the configurational partition function of the logarithmic sector of critical cosmological topologically massive gravity, in which the Hurwitz numbers considered in our previous works assume the role of ...
Yannick Mvondo-She
doaj +1 more source

