Results 231 to 240 of about 244,145 (258)
Some of the next articles are maybe not open access.
Conjugate Exponential Family Priors For Exponential Family Likelihoods
Statistics, 1993General classes of conjugate exponential family priors are identified for exponential family likelihoods. Both joint and conditional specification of the priors are discussed. The normal and inverse Gaussian cases provide illustrations.
Barry C. Arnold +2 more
openaire +1 more source
‘Exponential mixtures and quadratic exponential families’
Biometrika, 1994Correlated responses are common in many fields of application such as time series, spatial statistics and longitudinal studies. In medical statistics and in epidemiological studies, correlation can arise because of cluster sampling. Individuals in a cluster have in common unobserved traits, either genetic or environmental, as a result of which their ...
openaire +2 more sources
Family of Exponentiated Exponential Distribution
2015As was mentioned, in Chap. 1, that Gompertz (1825) raised the extreme value distribution to a positive parameter. Verhulst (1847) introduced the following CDF of a random variable X.
Essam K. AL-Hussaini +1 more
openaire +1 more source
Unimodality and Exponential Families
Communications in Statistics - Simulation and Computation, 1973Relationships between uninodality, strong unimodality and canonical exponential families axe studied. Furthermore, some considerations axe given pertaining to the duality viewpoint as applied to the sampling and the likelihood aspects of statistical models.
openaire +3 more sources
Cuts in Natural Exponential Families
Theory of Probability & Its Applications, 1996The concept of cuts [\textit{O. E. Barndorff-Nielsen}, Exponential families and conditioning. Sc. D. Thesis, Univ. Copenhagen (1973; Zbl 0297.62001)], which is intimately connected to the concepts of \(S\)-ancillarity and \(S\)-sufficiency, has been studied in the context of general exponential families.
Barndorff-Nielsen, O. E., Koudou, A. E.
openaire +3 more sources
Stability for Multivariate Exponential Families
Journal of Mathematical Sciences, 2001Let \(E\) be a Euclidean space, let \(Z :\Omega\to E\) be a nondegenerate random vector, and suppose there is an open convex set \(D\subset E\) such that \(P(Z\in \overline{D}) = 1\). If \(\mu\) is the distribution of \(Z\), define measures \(\mu_\lambda\) by \(d\mu_\lambda(x) = e^{\lambda x}d\mu(x)\), \(x\in E\), for any \(\lambda\) in the dual space \
Balkema, A. A. +2 more
openaire +2 more sources
Registration for Exponential Family Functional Data
Biometrics, 2018Summary We introduce a novel method for separating amplitude and phase variability in exponential family functional data. Our method alternates between two steps: the first uses generalized functional principal components analysis to calculate template functions, and the second estimates smooth warping functions that map observed curves ...
Julia Wrobel +3 more
openaire +3 more sources
2009
Curved exponential families may arise when the parameters of an exponential family satisfy constraints. For these families the minimal sufficient statistic may not be complete, and UMVU estimation may not be possible. Curved exponential families arise naturally with data from sequential experiments, considered in Section 5.2, and Section 5.3 considers ...
openaire +1 more source
Curved exponential families may arise when the parameters of an exponential family satisfy constraints. For these families the minimal sufficient statistic may not be complete, and UMVU estimation may not be possible. Curved exponential families arise naturally with data from sequential experiments, considered in Section 5.2, and Section 5.3 considers ...
openaire +1 more source
Nonlinear exponential families
1993The nonlinear regression model $$\begin{array}{*{20}{c}} {y = \eta \left( \vartheta \right) + \varepsilon ;\quad \left( {\vartheta \in \Theta } \right),} \\ {\varepsilon \sim N\left( {0,{{\sigma }^{2}}W} \right)} \\ \end{array}$$ considered in previous chapters, can be presented equivalently as a family of densities $$\left\{ {f(y\left ...
openaire +1 more source
Information Property of Exponential Families
Theory of Probability & Its Applications, 1986See the review in Zbl 0582.60022.
openaire +1 more source