Results 261 to 270 of about 8,012,542 (291)
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Finite mixtures of natural exponential families
Canadian Journal of Statistics, 1991Let μ be a positive measure concentrated on R+ generating a natural exponential family (NEF) F with quadratic variance function VF(m), m being the mean parameter of F. It is shown that v(dx) = (γ+x)μ(γ ≥ 0) (γ ≥ 0) generates a NEF G whose variance function is of the form l(m)Δ+cΔ(m), where l(m) is an affine function of m, Δ(m) is a polynomial in m (the
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A new bivariate distribution in natural exponential family
Metrika, 2005We propose a new bivariate distribution following a GLM form i.e., natural exponential family given the constantly correlated covariance matrix. The proposed distribution can represent an independent bivariate gamma distribution as a special case. In order to derive the distribution we utilize an integrating factor method to satisfy the integrability ...
Masakazu Iwasaki, Hiroe Tsubaki
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Unifying the Named Natural Exponential Families and Their Relatives
The American Statistician, 2009Five of the six univariate natural exponential families (NEFs) with quadratic variance functions (QVFs), meaning that their variances are at most quadratic functions of their means, are the Normal, Poisson, Gamma, Binomial, and Negative Binomial distributions.
Morris, Carl N., Lock, Kari F.
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Inverse Natural Exponential Families on Jr
1994Abstract Recall that in Chapter 1, Section 1.4 we promised an explanation of the term ‘inverse’ appearing in the inverse Gaussian distribution. We shall now offer an explanation and justification of this usage by introducing the concept of inverse pairs of distributions (measures) and natural exponential families on R The ideas were ...
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The diagonal multivariate natural exponential families and their classification
Journal of Theoretical Probability, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K. +5 more
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Conditionally Reducible Natural Exponential Families and Enriched Conjugate Priors
Scandinavian Journal of Statistics, 2001Consider a standard conjugate family of prior distributions for a vector‐parameter indexing an exponential family. Two distinct model parameterizations may well lead to standard conjugate families which are not consistent, i.e. one family cannot be derived from the other by the usual change‐of‐variable technique.
G. CONSONNI, VERONESE, PIERO
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On the mean value parametrization of natural exponential families — a revisited review
Mathematical Methods of Statistics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, S. K., Kokonendji, Célestin C.
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On Lévy measures for infinitely divisible natural exponential families
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kokonendji, Célestin C. +1 more
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Natural exponential families associated to Pick functions
Test, 1998The main purpose of the paper is to study the effect of a quadratic action on some classes of natural exponential families (NEFs) and to use it for deciding on the existence of certain NEFs whose variance functions have the form of Pick functions. Section 2 considers the group \(\text{SL}(2,{\mathbf R})\) of the \(2\times 2\) (invertible) real matrices
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Posterior variance for quadratic natural exponential families
Statistics & Probability Letters, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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