Discussions of Statistical Inference

Procrustean statistical inference of deformations

A two step method has been devised for the statistical inference of deformation changes. In the first step of this method and based on Procrustes analysis of deformation tensors, the significance of the change in a time or space series of deformation tensors is statistically analyzed. In the second step significant change(s) in deformations are localized. In other words, they are assigned to ce...

Review of the Applications of Exponential Family in Statistical Inference

‎In this paper‎, ‎after introducing exponential family and a history of work done by researchers in the field of statistics‎, ‎some applications of this family in statistical inference especially in estimation problem‎,‎statistical hypothesis testing and statistical information theory concepts will be discussed‎.

Statistical Inference

At the heart of statistics lie the ideas of statistical inference. Methods of statistical inference enable the investigator to argue from the particular observations in a sample to the general case. In contrast to logical deductions made from the general case to the specific case, a statistical inference can sometimes be incorrect. Nevertheless, one of the great intellectual advances of the twe...

Statistical Inference

λn = f1(x1)f1(x2) · · · f1(xn) f0(x1)f0(x2) · · · f0(xn) where we have simplified the notation by writing f0(x) for f(x | θ0) and f1(x) for f(x | θ1). A Likelihoodist Statistician would find the likelihood ratio λn to be the best direct measure of the relative support of the data for these two hypotheses; a Bayesian statistician with prior probabilities π0 = P[H0] and π1 = P[H1] = (1−π0) would ...

Statistical Inference