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- K. SARKAR, S. K. SARKAR
- 2002

The concept of false discovery rate (FDR) has been receiving increasing attention by researchers in multiple hypotheses testing. This paper produces some theoretical results on the FDR in the context of stepwise multiple testing procedures with dependent test statistics. It was recently shown by Benjamini and Yekutieli that the Benjamini–Hochberg step-up… (More)

In a multiple testing problem where one is willing to tolerate a few false rejections, procedure controlling the familywise error rate (FWER) can potentially be improved in terms of its ability to detect false null hypotheses by generalizing it to control the k-FWER, the probability of falsely rejecting at least k null hypotheses, for some fixed k > 1.… (More)

Results on the false discovery rate (FDR) and the false nondiscov-ery rate (FNR) are developed for single-step multiple testing procedures. In addition to verifying desirable properties of FDR and FNR as measures of error rates, these results extend previously known results , providing further insights, particularly under dependence, into the notions of FDR… (More)

In this work we study an adaptive step-down procedure for testing m hypotheses. It stems from the repeated use of the false discovery rate controlling the linear step-up procedure (sometimes called BH), and makes use of the critical constants iq/[(m + 1 − i(1 − q)], i = 1,. .. , m. Motivated by its success as a model selection procedure, as well as by its… (More)

Spread Spectrum (SS) modulation principle has been widely used in digital watermarking due to its distinguishing characteristics viz. excellent security and robustness in performance. The use of wide spectrum of the host signal in message hiding process puts a limit on the data rate subject to a given embedding distortion. In SS communication the use of M–… (More)

Microarray gene expression studies over ordered categories are routinely conducted to gain insights into biological functions of genes and the underlying biological processes. Some common experiments are time-course/dose-response experiments where a tissue or cell line is exposed to different doses and/or durations of time to a chemical. A goal of such… (More)

- N. Balakrishnan, C. R. Rao, Asit P. Basu, Shanti S. Gupta, P. S. Chan, Rita Aggarwala +3 others
- 2008

In many applications of multiple hypothesis testing where more than one false rejection can be tolerated, procedures controlling error rates measuring at least k false rejections, instead of at least one, for some fixed k ≥ 1 can potentially increase the ability of a procedure to detect false null hypotheses. The k-FWER, a generalized version of the usual… (More)

- Sanat K. Sarkar
- 2002

There has been renewed interest in the area of multiple testing because of its importance in many statistical investigations, particularly in experiments where large data sets are generated, such as genetic microarrays. The purpose of this paper is to present some important developments that have taken place recently in this area, focusing mainly on… (More)

Sarkar (1998) showed that certain positively dependent (MTP 2) random variables satisfy the Simes Inequality. The multivariate-t distribution does not satisfy this property, so other means are necessary to show that it also satisfies the Simes inequality. A corollary was given in Sarkar (1998) to handle this distribution, but there is an error. In this… (More)