Information theory and superefficiency

Information Theory and Superefficiency

On Information Pooling, Adaptability And Superefficiency in Nonparametric Function Estimation

The connections between information pooling and adaptability as well as superefficiency are considered. Separable rules, which figure prominently in wavelet and other orthogonal series methods, are shown to lack adaptability; they are necessarily not rate-adaptive. A sharp lower bound on the cost of adaptation for separable rules is obtained. We show that adaptability is achieved through inform...

Detects and collinearity in regression model‎ using information theory

‎In this paper‎, ‎collinearity in regression models is introduced and then the procedures on how to‎ " ‎remove it‎" ‎are studied‎. ‎Moreover preliminary definitions have been given‎. ‎And the end of this paper‎, ‎collinearity in regression model will be recognition and a solution will be introduced for remove it‎.   

Clustering of a Number of Genes Affecting in Milk Production using Information Theory and Mutual Information

Information theory is a branch of mathematics. Information theory is used in genetic and bioinformatics analyses and can be used for many analyses related to the biological structures and sequences. Bio-computational grouping of genes facilitates genetic analysis, sequencing and structural-based analyses. In this study, after retrieving gene and exon DNA sequences affecting milk yield in dairy ...

REACT Scatterplot Smoothers: Superefficiency through Basis Economy

REACT estimators for the mean of a linear model involve three steps: transforming the model to a canonical form that provides an economical representation of the unknown mean vector, estimating the risks of a class of candidate linear shrinkage estimators, and adaptively selecting the candidate estimator that minimizes estimated risk. Applied to oneor higherway layouts, the REACT method generat...