Results 31 to 40 of about 3,859,005 (290)

On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius

open access: yesEntropy, 2021
We generalize the Jensen-Shannon divergence and the Jensen-Shannon diversity index by considering a variational definition with respect to a generic mean, thereby extending the notion of Sibson’s information radius.
Frank Nielsen
doaj   +1 more source

Intrinsic Losses Based on Information Geometry and Their Applications

open access: yesEntropy, 2017
One main interest of information geometry is to study the properties of statistical models that do not depend on the coordinate systems or model parametrization; thus, it may serve as an analytic tool for intrinsic inference in statistics. In this paper,
Yao Rong, Mengjiao Tang, Jie Zhou
doaj   +1 more source

Using Geometry to Select One Dimensional Exponential Families That Are Monotone Likelihood Ratio in the Sample Space, Are Weakly Unimodal and Can Be Parametrized by a Measure of Central Tendency

open access: yesEntropy, 2014
One dimensional exponential families on finite sample spaces are studied using the geometry of the simplex Δn°-1  and that of a transformation Vn-1 of its interior.
Paul Vos, Karim Anaya-Izquierdo
doaj   +1 more source

Statistical Properties and Applications of the Exponentiated Chen-G Family of Distributions: Exponential Distribution as a Baseline Distribution

open access: yesAustrian Journal of Statistics, 2022
In this work, the Exponentiated Chen-G family of distributions is studied by generalizing the Chen-G family of distributions through the introduction of an additional shape parameter. The mixture properties of the derived family are studied.
Phillip Awodutire
doaj   +1 more source

Exponential-family random graph models for valued networks. [PDF]

open access: yesElectron J Stat, 2012
Exponential-family random graph models (ERGMs) provide a principled and flexible way to model and simulate features common in social networks, such as propensities for homophily, mutuality, and friend-of-a- friend triad closure, through choice of model ...
Krivitsky PN.
europepmc   +3 more sources

Exponential Family Embeddings

open access: yesCoRR, 2016
Word embeddings are a powerful approach for capturing semantic similarity among terms in a vocabulary. In this paper, we develop exponential family embeddings, a class of methods that extends the idea of word embeddings to other types of high-dimensional data.
Maja Rudolph   +3 more
openaire   +4 more sources

Reproductive Exponential Families

open access: yesThe Annals of Statistics, 1983
Consider a full and steep exponential model $\mathscr{M}$ with model function $a(\theta)b(x)\exp\{\theta \cdot t(x)\}$ and a sample $x_1, \cdots, x_n$ from $\mathscr{M}$. Let $\bar{t} = \{t(x_1) + \cdots + t(x_n)\}/n$ and let $\bar{t} = (\bar{t}_1, \bar{t}_2)$ be a partition of the canonical statistic $\bar{t}$.
Barndorff-Nielsen, O., Blæsild, P.
openaire   +2 more sources

Leaf count overdispersion in coffee seedlings

open access: yesCiência Rural, 2019
: Coffee crops play an important role in Brazilian agriculture, with a high level of social and economic participation resulting from the jobs created in the supply chain and from the income obtained by producers and the revenue generated for the ...
Edilson Marcelino Silva   +4 more
doaj   +1 more source

Exponential families of mixed Poisson distributions [PDF]

open access: yes, 2006
If I=(I1,…,Id) is a random variable on [0,∞)d with distribution μ(dλ1,…,dλd), the mixed Poisson distribution MP(μ) on View the MathML source is the distribution of (N1(I1),…,Nd(Id)) where N1,…,Nd are ordinary independent Poisson processes which are also ...
Letac, G.   +9 more
core   +1 more source

On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means

open access: yesEntropy, 2019
The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution.
Frank Nielsen
doaj   +1 more source

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