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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Parameterizations for Natural Exponential Families with Quadratic Variance Functions
Journal of the American Statistical Association, 1994Abstract Parameterizations for natural exponential families (NEF's) with quadratic variance functions (QVF's) are compared according to the nearness to normality of the likelihood and posterior distribution. Nonnormality of the likelihood (posterior) is measured using two criteria.
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The use of the weighted likelihood in the natural exponential families with quadratic variance
Canadian Journal of Statistics, 2004AbstractThe authors propose a weighted likelihood concept for the estimation of parameters in natural exponential families with quadratic variance. They apply the results to both simulated and real data.
Malay Ghosh +3 more
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Total positivity properties of the bivariate diagonal natural exponential families
Statistics & Probability Letters, 1996Abstract The diagonal natural exponential families (NEFs) on ℝr were defined and classified recently by Bar-Lev et al. (1994). In this paper, we apply explicit formulas for the Mehler kernels of certain bivariate diagonal NEF classes to develop the total positivity properties of these NEFs and the variation-diminishing properties of their Mehler ...
Donald St. P. Richards, I-Li Lu
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IMPROVED ESTIMATORS OF THE NATURAL PARAMETERS IN CONTINUOUS MULTIPARAMETER EXPONENTIAL FAMILIES
Communications in Statistics - Theory and Methods, 2002ABSTRACT In this paper we first present general solutions to a differential inequality. These results include some of those of Berger, Ghosh and Parsian, and Ghosh, Hwang and Tsui[1], 6-7 as special cases. We then apply these results to the problem of estimating the natural parameter vector under a quadratic loss in continuous multiparameter ...
Hoh Yoo Baek +2 more
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HEISENBERG–WEYL LIE ALGEBRA AND NATURAL EXPONENTIAL FAMILIES
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007We present in this work a specific construction of raising and lowering operators for 2-orthogonal quasi-monomial polynomials associated with continuous and discrete natural exponential families. We use these operators in order to characterize the real class of cubic natural exponential families.
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Genetic testing in prostate cancer management: Considerations informing primary care
Ca-A Cancer Journal for Clinicians, 2022Veda N Giri +2 more
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Planning for post‐pandemic cancer care delivery: Recovery or opportunity for redesign?
Ca-A Cancer Journal for Clinicians, 2021Pelin Cinar +2 more
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A review of family caregiving intervention trials in oncology
Ca-A Cancer Journal for Clinicians, 2017Betty Ferrell, Elaine Wittenberg
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Natural Exponential Families of Léevy Processes
1997Michael Sørensen, Uwe Küchler
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