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Tables For The Distribution Of The Maximum Of Correlated Chi Square Variates With One Degree Of Freedom
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Book Synopsis Tables for the Distribution of the Maximum of Correlated Chi-square Variates with One Degree of Freedom by : Paruchuri R. Krishnaiah
Download or read book Tables for the Distribution of the Maximum of Correlated Chi-square Variates with One Degree of Freedom written by Paruchuri R. Krishnaiah and published by . This book was released on 1965 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distribution of the maximum of correlated chi-square variates with one degree of freedom plays an important role in the simultaneous test procedures and ranking and selection procedures. In this paper, extensive tables are given of the probability integrals of this distribution along with certain percentage points for the equicorrelated case. The use of these tables in applying a simultaneous test procedure is also discussed.
Book Synopsis Probability Inequalities in Multivariate Distributions by : Y. L. Tong
Download or read book Probability Inequalities in Multivariate Distributions written by Y. L. Tong and published by Academic Press. This book was released on 2014-07-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. The conditions for such inequalities range from very specific to very general. Comprised of eight chapters, this volume begins by presenting a classification of probability inequalities, followed by a discussion on inequalities for multivariate normal distribution as well as their dependence on correlation coefficients. The reader is then introduced to inequalities for other well-known distributions, including the multivariate distributions of t, chi-square, and F; inequalities for a class of symmetric unimodal distributions and for a certain class of random variables that are positively dependent by association or by mixture; and inequalities obtainable through the mathematical tool of majorization and weak majorization. The book also describes some distribution-free inequalities before concluding with an overview of their applications in simultaneous confidence regions, hypothesis testing, multiple decision problems, and reliability and life testing. This monograph is intended for mathematicians, statisticians, students, and those who are primarily interested in inequalities.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1966 with total page 1182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multivariate Statistics and Probability by : C. R. Rao
Download or read book Multivariate Statistics and Probability written by C. R. Rao and published by Academic Press. This book was released on 2014-05-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Statistics and Probability: Essays in Memory of Paruchuri R. Krishnaiah is a collection of essays on multivariate statistics and probability in memory of Paruchuri R. Krishnaiah (1932-1987), who made significant contributions to the fields of multivariate statistical analysis and stochastic theory. The papers cover the main areas of multivariate statistical theory and its applications, as well as aspects of probability and stochastic analysis. Topics range from finite sampling and asymptotic results, including aspects of decision theory, Bayesian analysis, classical estimation, regression, and time-series problems. Comprised of 35 chapters, this book begins with a discussion on the joint asymptotic distribution of marginal quantiles and quantile functions in samples from a multivariate population. The reader is then introduced to kernel estimators of density function of directional data; moment conditions for valid formal edgeworth expansions; and ergodicity and central limit theorems for a class of Markov processes. Subsequent chapters focus on minimal complete classes of invariant tests for equality of normal covariance matrices and sphericity; normed likelihood as saddlepoint approximation; generalized Gaussian random fields; and smoothness properties of the conditional expectation in finitely additive white noise filtering. This monograph should be of considerable interest to researchers as well as to graduate students working in theoretical and applied statistics, multivariate analysis, and random processes.
Book Synopsis Simultaneous Statistical Inference by : Rupert G. Jr. Miller
Download or read book Simultaneous Statistical Inference written by Rupert G. Jr. Miller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simultaneous Statistical Inference, which was published originally in 1966 by McGraw-Hill Book Company, went out of print in 1973. Since then, it has been available from University Microfilms International in xerox form. With this new edition Springer-Verlag has republished the original edition along with my review article on multiple comparisons from the December 1977 issue of the Journal of the American Statistical Association. This review article covered developments in the field from 1966 through 1976. A few minor typographical errors in the original edition have been corrected in this new edition. A new table of critical points for the studentized maximum modulus is included in this second edition as an addendum. The original edition included the table by K. C. S. Pillai and K. V. Ramachandran, which was meager but the best available at the time. This edition contains the table published in Biometrika in 1971 by G. 1. Hahn and R. W. Hendrickson, which is far more comprehensive and therefore more useful. The typing was ably handled by Wanda Edminster for the review article and Karola Decleve for the changes for the second edition. My wife, Barbara, again cheerfully assisted in the proofreading. Fred Leone kindly granted permission from the American Statistical Association to reproduce my review article. Also, Gerald Hahn, Richard Hendrickson, and, for Biometrika, David Cox graciously granted permission to reproduce the new table of the studentized maximum modulus. The work in preparing the review article was partially supported by NIH Grant ROI GM21215.
Book Synopsis Developments in Statistics by : Paruchuri R. Krishnaiah
Download or read book Developments in Statistics written by Paruchuri R. Krishnaiah and published by Academic Press. This book was released on 2014-06-28 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Development in Statistics, Volume 2 is a collection of papers that deals with one- and two- dimensional structures, the statistical theory of linear systems, bispectra, and energy transfer in grid-generated turbulence. Several papers discuss simultaneous test procedures, stochastic Markovian fields, as well as the stopping of invariant sequential probability ratio tests. One paper examines the relationships between excitation and response statistics for one-dimensional structures, and then as extended to two-dimensional structures. The special features issuing from these extensions are related to simple supported rectangular and square plates excited by a stationary random force applied at a single point. Another paper discuses the relationship between the measurable bispectra and the one-dimensional energy transfer terms, and which bispectra will vanish in an isotropic turbulent flow field. One paper reviews simultaneous test procedures, including the evaluation of the probability integrals of multivariates, multivariate gamma distributions, distributions of correlated quadratic forms. Another paper analyzes two concerns regarding the random sample size N, also known as stopping time. These are if N is finite with a probability of one, or the rate that the tail probabilities in the distribution of N go to zero. Mathematicians, statisticians, students, and professors of calculus or advanced mathematics will surely appreciate the collection.
Book Synopsis Government-wide Index to Federal Research & Development Reports by :
Download or read book Government-wide Index to Federal Research & Development Reports written by and published by . This book was released on 1965 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Order Statistics by : Herbert Aron David
Download or read book Order Statistics written by Herbert Aron David and published by John Wiley & Sons. This book was released on 1970 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic distribution theory; Expected values and moments; Bounds and approximations for moments of order statistics; Further distribution theory; Order statistics in estimation and hypothesis testing; Short-cut procedures; The treatment of outliers; Asymptotic theory.
Book Synopsis OAR Cumulative Index of Research Results by :
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Annals of Mathematical Statistics by :
Download or read book The Annals of Mathematical Statistics written by and published by . This book was released on 1972 with total page 1172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Order Statistics by : Herbert A. David
Download or read book Order Statistics written by Herbert A. David and published by John Wiley & Sons. This book was released on 2004-03-22 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an up-to-date coverage of the theory and applications of ordered random variables and their functions. Furthermore, it develops the distribution theory of OS systematically. Applications include procedures for the treatment of outliers and other data analysis techniques. Even when chapter and section headings are the same as in OSII, there are appreciable changes, mostly additions, with some obvious deletions. Parts of old Ch. 7, for example, are prime candidates for omission. Appendices are designed to help collate tables, computer algorithms, and software, as well as to compile related monographs on the subject matter. Extensive exercise sets will continue, many of them replaced by newer ones.
Book Synopsis OAR Quarterly Index of Current Research Results by : United States. Air Force. Office of Aerospace Research
Download or read book OAR Quarterly Index of Current Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1965 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis OAR Cumulative Index of Research Results by : United States. Air Force. Office of Aerospace Research
Download or read book OAR Cumulative Index of Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1965 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Complete Categorized Guide to Statistical Selection and Ranking Procedures by : Edward J. Dudewicz
Download or read book The Complete Categorized Guide to Statistical Selection and Ranking Procedures written by Edward J. Dudewicz and published by . This book was released on 1982 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sequential Identification and Ranking Procedures by : Robert Eric Bechhofer
Download or read book Sequential Identification and Ranking Procedures written by Robert Eric Bechhofer and published by . This book was released on 1968 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of the American Statistical Association by :
Download or read book Journal of the American Statistical Association written by and published by . This book was released on 1994 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: