Recent results have shown that one can often construct dual likelihoods to analyze nonparametric likelihood ratio statistics. We will investigate a number of important statistics in survival analysis from this perspective. Findings include results on Bartlett correctibility and ancil-larity. In part of the discussion, we use a discrete time calculus for survival analysis, which we believe can b...

Bayesian Nonparametric Models for Community Detection Jiqiang Guo a , Alyson G. Wilson b & Daniel J. Nordman c a Virginia Bioinformatics Institute , Virginia Tech University , Blacksburg , VA , 24061 b Department of Statistics , North Carolina State University , Raleigh , NC , 27695 c Department of Statistics , Iowa State University , Ames , IA , 50011 Accepted author version posted online: 28 ...

We consider the problem of testing monotonicity of the regression function in a standard nonparametric regression model. We introduce test statistics that are functionals of a certain natural U-process. We study the limiting distribution of these test statistics through strong approximation methods and the extreme value theory for Gaussian processes. We show that the tests are consistent agains...

Omnibus tests for various nonparametric hypotheses are developed using the empirical likelihood method. These include tests for symmetry about zero, changes in distribution, independence and exponentiality. The approach is to localize the empirical likelihood using a suitable ‘time’ variable implicit in the null hypothesis and then form an integral of the log-likelihood ratio statistic. The asy...

In the paper we propose nonparametric approaches for elearning data. In particular we want to supply a measure of the relative exercises importance, to estimate the acquired Knowledge for each student and finally to personalize the e-learning platform. The methodology employed is based on a comparison between nonparametric statistics for kernel density classification and parametric models such ...

329 This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/ by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Statistical notes for clinical researchers: Nonparametric statistical methods: 2. Nonpa...