By Ashis Sengupta
This quantity incorporates a choice of examine articles on multivariate statistical equipment, encompassing either theoretical advances and rising purposes in numerous clinical disciplines. It serves as a tribute to Professor S N Roy, an eminent statistician who has made seminal contributions to the world of multivariate statistical tools, on his start centenary. within the region of rising functions, the subjects contain bioinformatics, express information and medical trials, econometrics, longitudinal facts research, microarray info research, pattern surveys, statistical approach regulate, and so on. Researchers, pros and complex graduates will locate the publication a necessary source for contemporary advancements in thought in addition to for cutting edge and rising very important purposes within the quarter of multivariate statistical equipment.
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Additional info for Advances in Multivariate Statistical Methods (Statistical Science and Interdisciplinary Research) (Statistical Science and Interdisciplinary Research: Platinum Juliee Series)
The asymptotic non-null distribution of the test statistics U1 and Q1 are not available. A test that holds for all values of n and p has been proposed by Srivastava (2005). 73) The distribution of the test statistic W1 is given in the following theorem. 3 Let n = O(pδ ), δ > 0. Then under the hypothesis that Σ = σ2 I, asymptotically as (n, p) → ∞, T1 ∼ N(0, 1). 75) September 15, 2009 11:46 World Scientific Review Volume - 9in x 6in 42 AdvancesMultivariate M. S. 2. Testing that the covariance matrix is an identity matrix We now consider the second problem of testing the hypothesis H2 : Σ = I vs A2 : Σ = I.
Testing significance of a mean vector - a possible alternative to Hotelling T 2 . Ann. Institut. Statist. Math. 32, 43 - 52. 12. Perlman, M. D. (1969). One-sided problems in multivariate analysis. Ann. Math. Statist. 40, 549-567. 13. P. K. (2005) Comparison of genomic sequences by Hamming distance. Jour. Statist. Plan. Infer. 130, 325-339. 14. T. and Dykstra, R. (1988). Order Restricted Statistical Inference, John Wiley, New York. 15. Roy, J. (1958). Step-down procedures in multivariate analysis.
1. Introduction In DNA microarray data, gene expressions are available on thousands of genes of an individual but there are only few individuals in the dataset. Although, these genes are correlated, most of the statistical analyses carried out in the literature ignore this correlation without any justification. For example if in one-sample problem it is found that the data supports the spherecity hypothesis about the co25 September 15, 2009 26 11:46 World Scientific Review Volume - 9in x 6in AdvancesMultivariate M.
Advances in Multivariate Statistical Methods (Statistical Science and Interdisciplinary Research) (Statistical Science and Interdisciplinary Research: Platinum Juliee Series) by Ashis Sengupta