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We propose a method for nonparametric density estimation that exhibits robustness to contamination of the training sample. This method achieves robustness by combining a traditional kernel density est...
Conformal geometry of statistical manifold with application to sequential estimation
Affi ne connections Curved exponential family Hyperboloid dis-tribution Information geometry Projective transformation Riemannian metric Space of constant curvature Totally umbilic von Mises-Fisher distribution
2011/3/23
We present a geometrical method for analyzing sequential estimating procedures. It is based on the design principle of the second-order efficient sequential estimation provided in Okamoto, Amari and T...
Joint estimation of intersecting context tree models
Context Tree Models Variable Length Markov Chains Penalized Maximum Likelihood joint estimation
2011/3/18
Data produced by two different sources is classified using variable length Markov chains. In many realistic situations it is conceiveable that the probabilistic context trees corresponding to the two ...
Certain Relations between Mutual Information and Fidelity of Statistical Estimation
Certain Relations Mutual Information Fidelity of Statistical Estimation
2010/10/19
I present several new relations between mutual information (MI) and statistical estimation error for a system that can be regarded simultaneously as a communication channel and as an estimator of an ...
Efficient estimation for a subclass of shape invariant models
Shape invariant model semiparametric estimation efficiency
2010/10/15
In this paper, we observe a fixed number of unknown $2\pi$-periodic functions differing from each other by both phases and amplitude. This semiparametric model appears in literature under the name "s...