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HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY
HAIRS COMPLEX EXPONENTIAL FAMILY
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2015/8/26
In this paper we consider both the dynamical and parameter planes for the complex exponential family Eλ(z) = λez where the parameter λ is complex. We show that there are infinitely many curves or “hai...
A note on the border of an exponential family
Algebraic Statistics Convex Support Extended Exponential Family
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2011/1/17
Limits of densities belonging to an exponential family appear in many applications, e.g. Gibbs models in Statistical Physics, relaxed combinatorial optimization,coding theory, critical likelihood comp...
Exponential family and Taneja's entropy
Taneja’s entropy Regular exponential family
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2010/9/26
Menendez [3] derived Shaonnon’s entropy formula for exponential family. In this paper we proposed Taneja’s entropy formula for exponential family. Notice that this relation is the generalization of Me...
ASYMPTOTIC PROPERTIES OF MLE IN EXPONENTIAL FAMILY NONLINEAR MODELS
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2007/8/7
In this paper, a necessary condition for the existence of any weakly consistent estimator is presented in exponential family nonlinear models. Then we give one more necessary condition for a consisten...
THE UNBIASED ESTIMATION THEORY FOR EXPONENTIAL FAMILY
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2007/8/7
In this paper, the necessary and sufficient conditions for a function of the parameterin a one-parameter natural exponential family(NEF) to have an unbiased estimator with finite variance are obtained...