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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
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...
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...
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...
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...