The Dirichlet distribution and its compound variant, the Dirichlet-multinomial, are two of the most basic models for proportional data, such as the mix of vocabulary words in a text document. Yet the maximum-likelihood estimate of these distributions is not available in closed-form. This paper ...
Estimating the Frequency of the Oldest Allele: A Bayesian Approach In this paper we calculate posterior distributions associated with a version of the Poisson-Dirichlet distribution called the GEM. The GEM has been shown (... P Joyce - 《Advances in Applied Probability》 被引量: 9发表: 1991年...
I also wrote a simple MCMC algorithm using Metropolis-Hastings sampling [38]. For both of the these approaches, I wrote a proposal function that draws new genomic proportions (p11″p12″p22″) from a three dimensional Dirichlet distribution centered on the old genomic proportions and with ...
In other words, we need to estimate the distribution of constitutive properties using the finite boundary data sets. Uniqueness of the solution to this problem is proved in the literature only under certain assumptions for a given complete Dirichlet-to-Neumann map. Another complication in the ...
A challenge in bulk gene differential expression analysis is to differentiate changes due to cell type-specific gene expression and cell type proportions. SCADIE is an iterative algorithm that simultaneously estimates cell type-specific gene expression p
branches in the species tree. Specifically, Rannala and Yang [25] showed that the probability distribution of the topology of gene treekand the (mik-nik) coalescent time intervalstiknik+1,...,tikmikfor populationireduced frommiktoniksampled lineages along a branch of lengthτiin the species ...
Follow- ing numerous recommendations in the literature [25], each column of P is assumed to be Dirichlet-distributed such that our null hypothesis asserts that H0 : P∗j ~ Dirichlet(C∗j + )for each given wild-type nucleotide j, (1) where a is a vector of hyperparameters with ...
Kull, M., Perello-Nieto, M., Kängsepp, M., Song, H., Flach, P., Others: beyond temperature scaling: obtaining well-calibrated multiclass probabilities with Dirichlet calibration. In: Advances in Neural Information Processing System, vol. 32 (2019) ...
FIG. 23 shows a Dirichlet signal waveform, which can be used according to some embodiments of the present invention. DESCRIPTION OF SPECIFIC EMBODIMENTS OF THE INVENTION The present invention, in some embodiments thereof, relates to a positioning technique and, more particularly, but not exclusively...
The Dirichlet distribution has been the predominant choice of researchers to model the proportions. The main advantage of using Dirichlet is its flexibility to accommodate a variety of shapes. The maximum likelihood approach has been the preferred route for estimating the Dirichlet parameters. Because ...