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Tables For The Studentized Largest Chi Square Distribution And Their Applications
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Book Synopsis Tables for the Studentized Largest Chi-square Distribution and Their Applications by : John Vernon Armitage
Download or read book Tables for the Studentized Largest Chi-square Distribution and Their Applications written by John Vernon Armitage and published by . This book was released on 1964 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let x sub 1, ..., x sub K be K independently distributed chi-square variates with n degrees of freedom and let x sub 0 be another chi-square variate with m degrees of freedom distributed independently of the other x sub i's. Then, the distribution of u = mxmax/nx sub 0 where xmax = max (x sub 1, ..., x sub K), is known to be the studentized largest chi-square distribution. In this report, two methods are proposed to evaluate the probability integral of u. Using one of these methods, upper 10%, 5%, 2.5% and 1% points of the distribution of u are tabulated for K = 1(1)12, n = 1(1)19 and for different values of m. Various applications of these tables are also discussed. (Author).
Book Synopsis Distribution on the Studentized Smallest Chi-square by : Paruchuri R. Krishnaiah
Download or read book Distribution on the Studentized Smallest Chi-square written by Paruchuri R. Krishnaiah and published by . This book was released on 1964 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distribution of the studentized smalles chi-square plays and important role in the problems of testing for the homogeneity of variances and in the ranking and selection procedures. In this paper, the evaluation of the probability integrals associated with this distribution is considered.
Book Synopsis Tables for the Bivariate ?t? Distribution by : Paruchuri R. Krishnaiah
Download or read book Tables for the Bivariate ?t? Distribution written by Paruchuri R. Krishnaiah and published by . This book was released on 1970 with total page 54 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 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 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 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 1965 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Analysis and Design of Certain Quantitative Multiresponse Experiments by : S. N. Roy
Download or read book Analysis and Design of Certain Quantitative Multiresponse Experiments written by S. N. Roy and published by Elsevier. This book was released on 2014-05-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Design of Certain Quantitative Multiresponse Experiments highlights (i) the need for multivariate analysis of variance (MANOVA); (ii) the need for multivariate design for multiresponse experiments; and (iii) the actual procedures and interpretation that have been used for this purpose by the authors. The development in this monograph is such that the theory and methods of uniresponse analysis and design stay very close to classical ANOVA. The book first discusses the multivariate aspect of linear models for location type of parameters, but under a univariate design, i.e. one in which each experimental unit is measured or studied with respect to all the responses. Separate chapters cover point estimation of location parameters; testing of linear hypotheses; properties of test procedures; and confidence bounds on a set of parametric functions. Subsequent chapters discuss a graphical internal comparison method for analyzing certain kinds of multiresponse experimental data; two classes of multiresponse designs, i.e. designated hierarchical and p-block designs; and the construction of various kinds of multiresponse designs.
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 U.S. Government Research & Development Reports by :
Download or read book U.S. Government Research & Development Reports written by and published by . This book was released on 1965 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Blanch Anniversary Volume written by and published by . This book was released on 1967 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Analysis of Variance by : Hardeo Sahai
Download or read book The Analysis of Variance written by Hardeo Sahai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of variance (ANOYA) models have become one of the most widely used tools of modern statistics for analyzing multifactor data. The ANOYA models provide versatile statistical tools for studying the relationship between a dependent variable and one or more independent variables. The ANOYA mod els are employed to determine whether different variables interact and which factors or factor combinations are most important. They are appealing because they provide a conceptually simple technique for investigating statistical rela tionships among different independent variables known as factors. Currently there are several texts and monographs available on the sub ject. However, some of them such as those of Scheffe (1959) and Fisher and McDonald (1978), are written for mathematically advanced readers, requiring a good background in calculus, matrix algebra, and statistical theory; whereas others such as Guenther (1964), Huitson (1971), and Dunn and Clark (1987), although they assume only a background in elementary algebra and statistics, treat the subject somewhat scantily and provide only a superficial discussion of the random and mixed effects analysis of variance.
Download or read book Multivariate Analysis written by and published by . This book was released on 1980 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discriminant Analysis and Applications by : T. Cacoullos
Download or read book Discriminant Analysis and Applications written by T. Cacoullos and published by Academic Press. This book was released on 2014-05-10 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discriminant Analysis and Applications comprises the proceedings of the NATO Advanced Study Institute on Discriminant Analysis and Applications held in Kifissia, Athens, Greece in June 1972. The book presents the theory and applications of Discriminant analysis, one of the most important areas of multivariate statistical analysis. This volume contains chapters that cover the historical development of discriminant analysis methods; logistic and quasi-linear discrimination; and distance functions. Medical and biological applications, and computer graphical analysis and graphical techniques for multidimensional data are likewise discussed. Statisticians, mathematicians, and biomathematicians will find the book very interesting.
Book Synopsis Bibliography of Scientific and Industrial Reports by :
Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1965 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
