Asymptotically optimal tests for parametric functions against ordered functional alternatives
Ming-Tien Tsai,Pranab Kumar Sen +1 more
TLDR
In this article, the union intersection principle was used for hypothesis testing of nonlinear functions of parameters against functional ordered alternatives, and it was shown that the Union intersection principle may have certain advantages over the likelihood principle or its ramifications.About:
This article is published in Journal of Multivariate Analysis.The article was published on 2005-07-01 and is currently open access. It has received 10 citations till now. The article focuses on the topics: Statistical hypothesis testing & Likelihood principle.read more
Citations
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Robust Statistical Inference for High-Dimensional Data Models with Application to Genomics
TL;DR: In this article, Roy's union-intersection principle is used to solve the problem of high-dimensional (K) low sample size (n) environments, where inequality, order or general shape constraints crop up in complex ways, and as a result, likelihood based optimal statistical inference proce- dures may not exist, at least, may not be in manageable form.
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High-dimension, low-sample size perspectives in constrained statistical inference: The SARSCoV RNA genome in illustration
TL;DR: A pseudomarginal approach based on Hamming distance is considered in a constrained statistical inference setup and the union-intersection principle and jackknifing methods are incorporated in exploring appropriate statistical procedures.
Journal ArticleDOI
Union-intersection principle and constrained statistical inference
TL;DR: In this paper, the union intersection principle is used for inference on stochastic ordering (dominance) in parametric as well as beyond parametric setups, with some illustrative examples.
Multiple testing in genome -wide studies
TL;DR: This work addresses very large multiplicity problems in DNA microarray data by adopting a two-stage FDR controlling procedure under suitable dependence structures and based on Poisson distributional approximation, which eliminates the need to assume restricted dependence structures.
References
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TL;DR: In this article, the authors define and examine a measure of concentration in terms of population constants, and examine the relationship between the characteristic and the index of diversity when both are applied to a logarithmic distribution.
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TL;DR: The EM Algorithm and Extensions describes the formulation of the EM algorithm, details its methodology, discusses its implementation, and illustrates applications in many statistical contexts, opening the door to the tremendous potential of this remarkably versatile statistical tool.
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TL;DR: Discrete Multivariate Analysis is a comprehensive text and general reference on the analysis of discrete multivariate data, particularly in the form of multidimensional tables, and contains a wealth of material on important topics.
Posted Content
The Measurement of Diversity
TL;DR: In this paper, the authors provide an axiomatic approach to the measurement of diversity. And they prove that the latter special case is equivalent to a diversity ordering proposed by Weitzman.