Results 251 to 260 of about 424,964 (284)

On the $q$-continuous natural exponential family

Теория вероятностей и ее применения
В этой статье мы представляем концепцию $q$-натуральных экспоненциальных семейств в рамках $q$-исчисления, которое расширяет классическое понятие, используя $q$-ядро $e_q^{\theta x f(x)^{q-1}}$ вместо традиционного экспоненциального ядра $e^{\theta x}$.
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Posterior variance for quadratic natural exponential families

Statistics & Probability Letters, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The diagonal multivariate natural exponential families and their classification

Journal of Theoretical Probability, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K., Bshouty, Daoud, Enis, Peter, Letac, Gérard, Lu, I- Li, Richards, Donald   +5 more
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The Reconstruction of Natural Exponential Families by Their Marginals

Journal of Mathematical Sciences, 2001
Two-dimensional natural exponential families of distributions with cumulant function \(k(\theta_1,\theta_2)\) are considered. It is shown that the following relations hold \[ \begin{aligned} k(\theta_1,\theta_2) &= k_1(\theta_1+\beta_1(\theta_2))+k_2(\theta_2)- k_1(\theta_1^0+\beta_1(\theta_2))\\ &= k_2(\theta_2+\beta_2(\theta_1))+k_1(\theta_1)- k_1 ...
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Limit distributions of unbiased estimators in natural exponential families

Statistics, 2002
We obtain the possible limit distributions of unbiased estimators of functions of the parameter of a natural exponential family. The limit distribution depends on j , the order of the first non-zero derivative at the true (but usually unknown) value of the parameter.
F. Lo´pez-Bla´zquez, B. Salamanca-Miño   +1 more
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A Classification of Reproducible Natural Exponential Families in the Broad Sense

Journal of Theoretical Probability, 2003
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Bar-Lev, Shaul K., Casalis, Muriel
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OPTIMAL UNBIASED MEANS, POLYNOMIAL MOMENT RELATIONS, AND NATURAL EXPONENTIAL FAMILIES

Statistics & Risk Modeling, 1996
Summary: Assume that a statistical model \({\mathcal P}\) on the real line possesses moments of every order and is such that, for some positive integer \(k\), the moment of order \(k+1\) is a polynomial function \(p\) of the \(k\) moments of lower order. Then the UMVU-property of the sample mean in a corresponding IID-model implies that \({\mathcal P}\)
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Parameterizations for Natural Exponential Families with Quadratic Variance Functions

Journal of the American Statistical Association, 1994
Abstract 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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Real natural exponential families and generalized orthogonality

Communications in Statistics - Theory and Methods, 2023
Raouf Fakhfakh, Marwa Hamza
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Functionally compatible local characteristics for some natural conjugate exponential families

2007
The local specification of priors in nondecomposable graphical models does not necessarily yield a proper joint prior for all the parameters of the model. Using results concerning general exponential families with cuts, we derive specific results for the multivariate Gamma (conjugate prior for Poisson counts) and the Wishart distribution (conjugate ...
ASCI, CLAUDIO, MAURO PICCIONI
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