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Scalable and robust regression models for continuous proportional data. [PDF]
Lee CJ +3 more
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Seasonal Variation of Butterfly Diversity in Subtropical Urban Forests of Nepal. [PDF]
Miya MS +6 more
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Genetic recombination shapes complex hybrid effects across the pig genome. [PDF]
Xie HB +13 more
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Cuts in Natural Exponential Families
Theory of Probability and 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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Orthogonal polynomials and natural exponential families
Test, 1996There exist several different characterizations of the class of quadratic natural exponential families onR, two of which use orthogonal polynomials. In Feinsilver (1986), the polynomials result from the derivation of the probability densities while Meixner (1934) adopts an exponential generating function.
Denys Pommeret
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The Lindsay transform of natural exponential families
Canadian Journal of Statistics, 1994AbstractLet μ be an infinitely divisible positive measure on R. If the measure ρμ is such that x‐2[ρμ(dx)—ρμ({0})δ0(dx)] is the Lévy measure associated with μ and is infinitely divisible, we consider for all positive reals α and β the measure Tα,β(μ) which is the convolution of μ*α and ρμ*β.
Kokonendji, C. C., Seshadri, V.
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Conditionally Reducible Natural Exponential Families and Enriched Conjugate Priors
Consider 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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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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Posterior variance for quadratic natural exponential families
Statistics and Probability Letters, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denys Pommeret
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