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We present a general methodology for performing statistical inference on the components of a real-valued matrix parameter for which rows and columns are subject to order restrictions. The proposed estimation procedure is based on an iterative algorithm developed by Dykstra and Robertson (1982) for simple order restriction on rows and columns of a matrix.… (More)

Given a p-dimensional random variable yell and a q-dimensional random variable-y(2) , the first canonical correlation leads to finding Q* E Rp and (3* E R q which maximizes the correlation between Q'y(l) and (3'y(2). However, in many practical situations (e.g. educational testing problems, neural networks), some natural restrictions on the coefficients Q… (More)

- Pranab Kumar Sen
- 2008

For the estimation of the dose-response regression and of the relative potency in an indirect quantitative assay, robust procedures based on simple rank statistics are developed. Tests for the validity of the fundamental assumption in a parallel line assay based on simple rank statistics are also studied. Various properties of these procedures are… (More)

The classical distribution theory of the log likelihood ratio test statistic does not hold for testing homogeneity (i.e., no mixture) against mixture alternatives. Asymptotic theory for this problem is developed. For some special cases, asymptotically locally minimax tests are also found. It is pointed out that the main problem is lack of identifiability of… (More)

Abstract: We propose new tests to detect a change in the mean of a time series. Like many existing tests, the new ones are based on the CUSUM process. Existing CUSUM tests require an estimator of a scale parameter to make them asymptotically distribution free under the no change null hypothesis. Even if the observations are independent, the estimation of… (More)

- Keith Blanton, Gour D. Biswas, +6 authors Philip Sparling
- Journal of bacteriology
- 1990

Transferrin (TF) and lactoferrin (LF) are probably the major sources of iron (Fe) for Neisseria gonorrhoeae in vivo. We isolated mutants of N. gonorrhoeae FA19 that were unable to grow with Fe bound to either TF (TF-) or LF (LF-) or to both TF and LF ([TF LF]-). The amount of Fe internalized by each of the mutants was reduced to background levels from the… (More)

- Aluísio Pinheiro, Pranab Kumar Sen, Hildete Prisco Pinheiro
- J. Multivariate Analysis
- 2009

In complex diversity analysis, specially arising in genetics, genomics, ecology and other high-dimensional (and sometimes low sample size) data models, typically subgroup-decomposability (analogous to ANOVA decomposability) arises. In groupdivergence of diversity measures in a high-dimension low sample size scenario, it is shown that Hamming distance-type… (More)

- Sean L. Simpson, Lloyd J. Edwards, Keith E. Muller, Pranab Kumar Sen, Martin A. Styner
- Statistics in medicine
- 2010

In repeated measures settings, modeling the correlation pattern of the data can be immensely important for proper analyses. Accurate inference requires proper choice of the correlation model. Optimal efficiency of the estimation procedure demands a parsimonious parameterization of the correlation structure, with sufficient sensitivity to detect the range of… (More)

- Hrishikesh Chakraborty, Ronald W. Helms, Pranab Kumar Sen, Myron S. Cohen
- Statistics in medicine
- 2003

Estimating the correlation coefficient between two outcome variables is one of the most important aspects of epidemiological and clinical research. A simple Pearson's correlation coefficient method is usually employed when there are complete independent data points for both outcome variables. However, researchers often deal with correlated observations in a… (More)