Results 231 to 240 of about 175,990 (247)

On Lévy measures for infinitely divisible natural exponential families

Statistics & Probability Letters, 2006
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Kokonendji, Célestin C., Khoudar, Mohamed   +1 more
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Natural exponential families associated to Pick functions

Test, 1998
The 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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Unifying the Named Natural Exponential Families and Their Relatives

The American Statistician, 2009
Five 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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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
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The diagonal multivariate natural exponential families and their classification

Journal of Theoretical Probability, 1994
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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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