A Restricted Subset Selection Procedure for the Largest Multiple Correlation Coefficient of Multivariate Normal Populations
Author | : Andrew Scott George |
Publisher | : |
Total Pages | : 92 |
Release | : 1975 |
Genre | : Correlation (Statistics) |
ISBN | : |
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Author | : Andrew Scott George |
Publisher | : |
Total Pages | : 92 |
Release | : 1975 |
Genre | : Correlation (Statistics) |
ISBN | : |
Author | : Jean Dickinson Gibbons |
Publisher | : SIAM |
Total Pages | : 589 |
Release | : 1999-01-01 |
Genre | : Mathematics |
ISBN | : 0898714397 |
Provides a compendium of applied aspects of ordering and selection procedures.
Author | : Shanti S. Gupta |
Publisher | : |
Total Pages | : 25 |
Release | : 1986 |
Genre | : |
ISBN | : |
Selection and ranking problems have been studied over the last thirty years, generally under one of two formulations: Bechhofer's indifference zone approach and Gupta's subset selection approach. This paper deals with subset selection. Subset selection procedures in multivariate models are briefly reviewed. These include: (1) Procedures for selecting the best component in a multivariate normal population in terms of the component means as well as the component variances; (2) Procedures for selecting the best from several multivariate normal populations in terms of the Mahalanobis distance, the generalized variance, and the multiple correlation coefficient; (3) Procedures (fixed sample size as well as inverse sampling) for selecting the most (least) probable cell in a multinominal distribution; (4) Procedures for selecting the best from several multinomial populations in terms of the Shannon entropy function; and (5) Procedures for choosing the best subset of the predictor variables in a linear regression model. (Author).
Author | : Ricardo Milton Frischtak |
Publisher | : |
Total Pages | : 226 |
Release | : 1973 |
Genre | : Multivariate analysis |
ISBN | : |
The following statistical multiple-decision problems are considered for a multivariate normal distribution with unknown (or partially known) covariance matrix, using the indifference-zone and subset approaches: (a) Selecting the variate with the largest population mean; (b) selecting the variate with the smallest population variance; (c) selecting the subclass of variates with the smallest population generalized variance; (d) selecting the population with the smallest vector coefficient of alienation between two subclasses of variates; (e) selecting the best subclass of predictors for a specified subclass of variates. Small-sample theory is employed in (a) and (b), while large-sample theory is used in (b), (c), (d) and (e). (Author).
Author | : Shanti S. Gupta |
Publisher | : |
Total Pages | : 11 |
Release | : 1974 |
Genre | : |
ISBN | : |
The paper deals with selection and ranking procedures for multivariate normal populations. Procedures for selecting a subset containing the (unknown) population with the smallest generalized variance, the largest Mahalanobis distance function and the largest (smallest) multiple correlation coefficient are described. The paper also surveys other known results in ranking problems for these populations and mentions some unsolved problems. (Modified author abstract).
Author | : Wade H. Shafer |
Publisher | : Springer Science & Business Media |
Total Pages | : 299 |
Release | : 2013-12-11 |
Genre | : Science |
ISBN | : 147575776X |
Masters Theses in the Pure and Applied Sciences was first conceived, published, and dis seminated by the Center for Information and Numerical Data Analysis and Synthesis, (CINDAS) *at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the ac tivity was transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volume were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 19 (thesis year 1974) a total of 10,045 theses titles from 20 Canadian and 209 United States universities. We are sure that this broader base for theses titles reported will greatly enhance the value of this important annual reference work. The organization of Volume 19 is identical to that of past years. It consists of theses titles arranged by discipline and by university within each discipline.
Author | : Shanti S. Gupta |
Publisher | : |
Total Pages | : 46 |
Release | : 1968 |
Genre | : |
ISBN | : |
Some problems of selection and ranking for the multivariate normal populations are studied. The major part of the paper (Section 2) deals with the selection problem in terms of the population multiple correlation coefficient. Both unconditional and conditional cases are studied for the largest (smallest) multiple correlation. Selection procedures R1, R2, R3, and R4 are proposed for the largest multiple correlation case while procedures R5, R6, R7, and R8 are proposed for the case of the smallest. Asymptotic results are obtained. Properties of the selection procedures are investigated. Sufficient conditions are obtained for the monotonicity of certain probability integrals in terms of the non-centrality parameter. Which is involved in the negative binomial weights (Theorem 2.6). Tables of the percentage points of the statistics which give appropriate constants for procedures R1, R2, R3, R4, R7, and R8 are constructed and appended at the end. Section 3 deals with the selection of p-variate normal populations. When the variables are partitioned into two sets of q1 and q2 components, the criterion of ranking being the generalized conditional variance of the q2-set (q1-set fixed). (Author).
Author | : Edward J. Dudewicz |
Publisher | : |
Total Pages | : 652 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : |
Author | : Shanti S. Gupta |
Publisher | : SIAM |
Total Pages | : 592 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 0898715326 |
An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.