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Statistical Signal Processing for Novelty Detection
Support Vector Machines Health condition monitoring Novelty detection and Machine learning methods
2015/9/29
The goal of this article is to investigate and suggest techniques for health condition monitoring and diagnosis using machine learning from sensor data. In particular, this article overview and discus...
Statistical Estimation and Testing via the Sorted 1 Norm
Sparse regression variable selection false discovery rate lasso sorted 1 penalized estimation (SLOPE) prox operator
2015/6/17
We introduce a novel method for sparse regression and variable selection, which is inspired by modern ideas in multiple testing. Imagine we have observations from the linear model y = Xβ + z, then we ...
On uniform statistical convergence of random variable sequences
Random variable sequence uniform convergence
2010/9/13
In this study, we introduce a notion of uniform statistical convergence of random variable sequences. We show that a continuous function conserves the limit of statistical convergence of real-number s...
Longitudinal data analysis has become popular as one of statistical methods. In this paper we introduce four common statistical models for handling longitudinal data. First, we introduce what longitud...
A statistical test for time reversibility of stationary finite state Markov chains
Markov chain Time reversible
2010/9/17
In this paper stationary irreducible aperiodic finite state Markov chains are considered. We investigate time reversibility of these chains and a statistical tool for characterizing their time reversi...
Statistical structures on tangent bundles
statistical manifold, Norden metric tangent bundle vertical lift com-plete lift horizontal lift
2009/1/12
We study prolongations of statistical structures on manifolds to their tangent
bundles. We show that tangent bundles over flat statistical manifolds admit
natural almost complex statistical structur...
Estimators, Escort Probabilities, and $\phi$-Exponential Families in Statistical Physics
Escort probability Lower bound of Cramer and Rao Generalized exponential family Statistical manifold Nonextensive thermostatistics
2008/7/1
The lower bound of Cramér and Rao is generalized to pairs of families of probability distributions, one of which is escort to the other. This bound is optimal for certain families, called -exponential...
A new texture segmentation method based on the fuzzy C-mean algorithm and statistical features
Texture analysis Fuzzy C-Means algorithm
2010/9/16
The segmentation of textured images is a fundamental problem in image processing and pattern recognition, which has been addressed for different applications with several methods. In this paper, the p...