Hessian Structures and Non-invariant (FG)-Geometry on a Deformed Exponential Family

  • K. V. Harsha
  • K. S. Subrahamanian MoosathEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9389)


A deformed exponential family has two kinds of dual Hessian structures, the U-geometry and the \(\chi \)-geometry. In this paper, we discuss the relation between the non-invariant (FG)-geometry and the two Hessian structures on a deformed exponential family. A generalized likelihood function called F-likelihood function is defined and proved that the Maximum F-likelihood estimator is a Maximum a posteriori estimator.


Generalize Product Maximum Likelihood Estimator Likelihood Estimator Suitable Choice Asymptotic Theory 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Space Science and TechnologyThiruvananthapuramIndia

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