Results 251 to 260 of about 3,859,005 (290)
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‘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 ...
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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
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Series Statistics, 1979
This paper considers a generalization of the exponential type distributions in the class of exponential families. A characterization and a method of generating an exponential family from a given family are given. In particular the generalized gamma, the generalized Poisson, the inverse Gaussian distributions belonging to this family are discussed.
Jain, G. C., Khan, M. S. H.
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This paper considers a generalization of the exponential type distributions in the class of exponential families. A characterization and a method of generating an exponential family from a given family are given. In particular the generalized gamma, the generalized Poisson, the inverse Gaussian distributions belonging to this family are discussed.
Jain, G. C., Khan, M. S. H.
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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
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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.
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A note on overdispersed exponential families
Biometrika, 1990Abstract : The issue of creating overdispersion in a given one parameter one dimensional exponential family, by extending it to a two parameter exponential family with the same support, is considered. An easily verifiable sufficient condition for this is derived.
A. E. Gelfand, S. R. Dalal
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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
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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.
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Atypicality for the class of exponential family
2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2016Atypicality is a new concept that uses a codelength-based deviation from the norm to find the interesting rare events. In a previous paper we have developed an information theoretic approach for discrete data. Then in the two other papers, we came up with an extension to the real-valued models for Gaussian and vector Gaussian cases.
Elyas Sabeti, Anders Høst-Madsen
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Information Property of Exponential Families
Theory of Probability & Its Applications, 1986See the review in Zbl 0582.60022.
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