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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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eRPCA: Robust Principal Component Analysis for Exponential Family Distributions
Statistical analysis and data mining, 2023Robust principal component analysis (RPCA) is a widely used method for recovering low‐rank structure from data matrices corrupted by significant and sparse outliers.
Xiaojun Zheng +3 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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Natural exponential families and self-decomposability
Statistics & Probability Letters, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K. +2 more
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Exponential family tensor completion with auxiliary information
Stat, 2020Tensor completion is among the most important tasks in tensor data analysis, which aims to fill the missing entries of a partially observed tensor. In many real applications, non‐Gaussian data such as binary or count data are frequently collected.
Jichen Yang, N. Zhang
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Conjugate Parameterizations for Natural Exponential Families
Journal of the American Statistical Association, 1995Abstract Recently, Consonni and Veronese have shown that the form of the standard conjugate distribution for the mean parameter μ of a univariate natural exponential family F coincides with that of the distribution induced on μ by the standard conjugate distribution for the canonical parameter if and only if F has a quadratic variance function. In this
E. Gutiérrez-Peña, A. F. M. Smith
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Conditional natural exponential families
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Laplace Approximations for Natural Exponential Families with Cuts
Scandinavian Journal of Statistics, 1998Standard and fully exponential form Laplace approximations to marginal densities are described and conditions under which these give exact answers are investigated. A general result is obtained and is subsequently applied in the case of natural exponential families with cuts, in order to derive the marginal posterior density of the mean parameter ...
Efstathiou, M. +2 more
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Natural Exponential Families and Umbral Calculus
1998We use the Umbral Calculus to investigate the relation between natural exponential families and Sheffer polynomials. As a corollary, we obtain a new transparent proof of Feinsilver’s theorem which says that natural exponential families have a quadratic variance function if and only if their associated Sheffer polynomials are orthogonal.
Di Bucchianico, A., Loeb, D.E.
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A note on natural exponential families with cuts
Statistics & Probability Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K., Pommeret, Denys
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