Results 211 to 220 of about 544,925 (236)

Inverse Natural Exponential Families on Jr

1994
Abstract Recall that in Chapter 1, Section 1.4 we promised an explanation of the term ‘inverse’ appearing in the inverse Gaussian distribution. We shall now offer an explanation and justification of this usage by introducing the concept of inverse pairs of distributions (measures) and natural exponential families on R The ideas were ...
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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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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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Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)

, 2014
S. Nayeban, A. Rezaei Roknabadi, G. M. Mohtashami Borzadaran   +2 more
semanticscholar   +2 more sources