κ-exponential models from the geometrical viewpoint
κ-exponential models from the geometrical viewpoint
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DOI：
10.1140/epjb/e2009-00154-y
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发表时间：
2009-07-01
影响因子：
1.6
通讯作者：
Pistone, G.
中科院分区：
文献类型：
--
作者：
Pistone, G.
我们讨论了Kaniadakis的kappa指数在构造一个以真实的随机变量的Lebesgue空间为模型的统计流形中的应用。考虑了变形指数模型的一些代数特征。为每个严格正密度定义一个图表;在参考概率的适当邻域中的每一个其他严格正密度由中心ln（kappa）似然表示。
We discuss the use of Kaniadakis' kappa-exponential in the construction of a statistical manifold modelled on Lebesgue spaces of real random variables. Some algebraic features of the deformed exponential models are considered. A chart is defined for each strictly positive densities; every other strictly positive density in a suitable neighborhood of the reference probability is represented by the centered ln(kappa) likelihood.