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Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators. [PDF]

Entropy (Basel)
Jhangeer A, Abdelkader A.
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Child training in the Child ViReal Support Program: Combining iVR-based cognitive training and CBT techniques in a pilot study. [PDF]

PLoS One
Pachiti I, Milienos FS, Papadopoulos TC, Dimitropoulou P.   +3 more
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Conjugate Exponential Family Priors For Exponential Family Likelihoods

Statistics, 1993
General 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, Enrique Castillo, Jose María Sarabia   +2 more
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‘Exponential mixtures and quadratic exponential families’

Biometrika, 1994
Correlated 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 ...
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Family of Exponentiated Exponential Distribution

2015
As 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, Mohammad Ahsanullah   +1 more
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Unimodality and Exponential Families

Communications in Statistics - Simulation and Computation, 1973
Relationships 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.
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Cuts in Natural Exponential Families

Theory of Probability & Its Applications, 1996
The 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.
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Stability for Multivariate Exponential Families

Journal of Mathematical Sciences, 2001
Let \(E\) 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., Klüppelberg, C., Resnick, S. I.   +2 more
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Registration for Exponential Family Functional Data

Biometrics, 2018
Summary 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, Vadim Zipunnikov, Jennifer Schrack, Jeff Goldsmith   +3 more
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Curved Exponential Families

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 ...
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