Dirichlet prior for a multinomial distributionSteven L. Scott
2.2.1 The Dirichlet distribution 这章与前一节真的很像,而且仔细对比一下可以发现一些有趣的东西。 还是老道理,需要为那个概率{u}引入一个prior distribution,而不再是算出来的单一固定的值。 为了共轭性,确定了prior分布的形式是: 这就解释了为什么会有那些分布,不是凭空想象出来的,而是针对不同的情况,为了满...
From:https://www.cs.cmu.edu/~scohen/psnlp-lecture6.pdf不错的PPT,图示很好。 伯努利分布 和 多项式分布 Binomial Distribution的共轭先验Beta Distribution。 贝塔分布的范围符合色子的每一面的概率理解。 同理: Multinomials Distribution的共轭先验Dirichlet Distribution。 Ref:https://docs.scipy.org/doc/numpy...
20 adopted the Dirichlet-multinomial (DM) model, where the underlying compositions are modeled as a Dirichlet prior to a multinomial distribution that describes the taxa counts, and proposed a mixture of DM models to cluster samples. In this paper, we develop a model-based clustering approach ...
Some properties of the dirichlet-multinomial distribution and its use in prior elicitation Two results on the unimodality of the Dirichlet-multinomial distribution are proved, and a further result is alos proved on the identifiability of mixtures... K Chaloner,GT Duncan - 《Communications in Statisti...
J. (1988), "Parameter Estimation for the Dirichlet-Multinomial Distribution Using Supplementary Beta-Binomial Data", Communications in Statistics, Vol. A17, No. 6, pp. 777-778.Danaher, P. J. (1988). Parameter estimation for the Dirichlet- multinomial distribution using supplementary beta-binomial...
In this paper we derive explicit expressions for the elements of the exact Fisher information matrix of the Dirichlet-multinomial distribution. We show that exact calculation is based on the beta-binomial probability function rather than that of the Dirichlet-multinomial and this makes the exact calcu...
4 Plotly Dash apps that animate Bayesian updates of 3-dimensional Dirichlet distributions with multinomial data statisticsplotlydata-visualizationdata-animationbayesian-statisticsstatistical-modelsmultinomialbarycentric-coordinatesbeta-distributionplotly-dashternary-plots ...
Asymptotics of Entropy of the Dirichlet-Multinomial Distribution Dirichlet distribution and multinomial distribution play important role in information theory and statistics. They find applications in estimation, average... K Turowski,P Jacquet,W Szpankowski - IEEE 被引量: 0发表: 2019年 加载更多来源...
Dirichlet distributionThe classical approach to the problem of ranking and selection is a sort of minimax approach. It is interesting to consider the Bayesian approach if some prior information is available with regard to the parameters of the underlying distributions. This paper deals with a Bayes ...