Contributions to Multiple Decision (Subset Selection) Rules, Multivariate Distribution Theory and Order Statistics PDF Download
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Author: Shanti S. Gupta
Publisher:
ISBN:
Category :
Languages : en
Pages : 127
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Book Description
The report is presented in three parts. Part A consists of eight sections and deals with multiple decision (selection and ranking) procedures. Part B contains some distribution theory which arises in these selection and ranking problems and some results relating to the moments of certain statistics. An overall description of the several tables that have been constructed is also given in this part. Part C includes on a variety of topics among which are (i) the distribution of linear functions of ordered correlated normal random variables, (ii) order statistics from the logistic distribution, (iii) inequalities relating to binomial and gamma distributions, (iv) the moments of traces of two matrices that arise in three different situations for complex multivariate normal populations and (v) life testing sampling plans for distributions having an increasing or a decreasing failure rate. (Author).
Author: Shanti S. Gupta
Publisher:
ISBN:
Category :
Languages : en
Pages : 127
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Book Description
The report is presented in three parts. Part A consists of eight sections and deals with multiple decision (selection and ranking) procedures. Part B contains some distribution theory which arises in these selection and ranking problems and some results relating to the moments of certain statistics. An overall description of the several tables that have been constructed is also given in this part. Part C includes on a variety of topics among which are (i) the distribution of linear functions of ordered correlated normal random variables, (ii) order statistics from the logistic distribution, (iii) inequalities relating to binomial and gamma distributions, (iv) the moments of traces of two matrices that arise in three different situations for complex multivariate normal populations and (v) life testing sampling plans for distributions having an increasing or a decreasing failure rate. (Author).
Author: Shanti S. Gupta
Publisher: SIAM
ISBN: 9780898719161
Category : Mathematics
Languages : en
Pages : 604
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Book Description
Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations provides an encyclopedic coverage of the literature in the area of ranking and selection procedures, summarizing and surveying in a unified manner a majority of more than 600 main references in the bibliography. It also deals with related problems, such as the estimation of unknown ordered parameters. A separate chapter is devoted to information about several tables available in the literature for carrying out various specific procedures. Examples are given in another chapter illustrating applications of these procedures in various practical contexts. Although several books have appeared to date in this area, many of them deal with specific aspects of the field and a limited number of topics. This book contains substantial material not discussed in other books. Audience: this book can serve as a text for a graduate topics course in ranking and selection (as it has done at Purdue University for more than 30 years). It can also serve as a reference for researchers and practitioners in fields such as agriculture, industry, engineering, and behavioral sciences.
Author: Shanti S. Gupta
Publisher: SIAM
ISBN: 0898715326
Category : Mathematics
Languages : en
Pages : 592
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Book Description
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.
Author: Jagdish N. Srivastava
Publisher: Elsevier
ISBN: 1483278174
Category : Biography & Autobiography
Languages : en
Pages : 476
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Book Description
A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.
Author: N. Balakrishnan
Publisher: Springer Science & Business Media
ISBN: 0817644229
Category : Mathematics
Languages : en
Pages : 439
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Book Description
S. Panchapakesan has made significant contributions to ranking and selection and has published in many other areas of statistics, including order statistics, reliability theory, stochastic inequalities, and inference. Written in his honor, the twenty invited articles in this volume reflect recent advances in these areas and form a tribute to Panchapakesan’s influence and impact on these areas. Featuring theory, methods, applications, and extensive bibliographies with special emphasis on recent literature, this comprehensive reference work will serve researchers, practitioners, and graduate students in the statistical and applied mathematics communities.
Author: S. Panchapakesan
Publisher: Springer Science & Business Media
ISBN: 1461223083
Category : Mathematics
Languages : en
Pages : 478
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Book Description
Shanti S. Gupta has made pioneering contributions to ranking and selection theory; in particular, to subset selection theory. His list of publications and the numerous citations his publications have received over the last forty years will amply testify to this fact. Besides ranking and selection, his interests include order statistics and reliability theory. The first editor's association with Shanti Gupta goes back to 1965 when he came to Purdue to do his Ph.D. He has the good fortune of being a student, a colleague and a long-standing collaborator of Shanti Gupta. The second editor's association with Shanti Gupta began in 1978 when he started his research in the area of order statistics. During the past twenty years, he has collaborated with Shanti Gupta on several publications. We both feel that our lives have been enriched by our association with him. He has indeed been a friend, philosopher and guide to us.
Author: S. S. Gupta
Publisher: Springer Science & Business Media
ISBN: 1461259258
Category : Mathematics
Languages : en
Pages : 113
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Book Description
The theory and practice of decision making involves infinite or finite number of actions. The decision rules with a finite number of elements in the action space are the so-called multiple decision procedures. Several approaches to problems of multi ple decisions have been developed; in particular, the last decade has witnessed a phenomenal growth of this field. An important aspect of the recent contributions is the attempt by several authors to formalize these problems more in the framework of general decision theory. In this work, we have applied general decision theory to develop some modified principles which are reasonable for problems in this field. Our comments and contributions have been written in a positive spirt and, hopefully, these will an impact on the future direction of research in this field. Using the various viewpoints and frameworks, we have emphasized recent developments in the theory of selection and ranking ~Ihich, in our opinion, provides one of the main tools in this field. The growth of the theory of selection and ranking has kept apace with great vigor as is evidenced by the publication of two recent books, one by Gibbons, Olkin and Sobel (1977), and the other by Gupta and Panchapakesan (1979). An earlier monograph by Bechhofer, Kiefer and Sobel (1968) had also provided some very interest ing work in this field.
Author: Jean Dickinson Gibbons
Publisher: SIAM
ISBN: 0898714397
Category : Mathematics
Languages : en
Pages : 589
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Book Description
Provides a compendium of applied aspects of ordering and selection procedures.
Author: Jeffrey Hollis Hooper
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 438
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Book Description
Author: American Statistical Association
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 642
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Book Description
