Relations Bounds And Approximations For Order Statistics

Author : Barry C. Arnold,Narayanaswamy Balakrishnan
Publisher : Springer Science & Business Media
Page : 183 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461236443

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Relations, Bounds and Approximations for Order Statistics by Barry C. Arnold,Narayanaswamy Balakrishnan Pdf

Bounds on moments of order statistics have been of interest since Sir Francis Galton (1902) flrst addressed the problem of fairly dividing flrst and second prize money in a competition. The present compendium of results represents our effort to sort the plethora of results into some semblance of order. We have tried to assign priority for results appropriately. We will cheerfully accept corrections. Omissions of interesting results have inevitably occurred. On this too we await (cheerful) corrections. We are grateful to Peggy Franklin (University of California), Janet Leach, Domenica Calabria and Patsy Chan (McMaster University) who shared the responsibility of typing the manuscript. The flnal form of the manuscript owes much to their skill and patience. Barry C. Arnold Riverside, California U. S. A. N. Balakrishnan Hamilton, Ontario Canada November, 1988 Table of Contents Chapter 1: TIlE DISTRIBUTION OF ORDER STATISTICS Exercises 4 Chapter 2: RECURRENCE RELATIONS AND IDENTITIES FOR ORDER STATISTICS 2. 0. Introduction 5 2. 1. Relations for single moments 6 2. 2. Relations for product moments 9 2. 3. Relations for covariances 13 15 2. 4. Results for symmetric populations 2. 5. Results for normal population 17 20 2. 6. Results for two related populations 2. 7. Results for exchangeable variates 23 25 Exercises Chapter 3: BOUNDS ON EXPECTATIONS OF ORDER STATISTICS 3. 0. Introduction 38 3. 1. Universal bounds in the Li. d. case 38 3. 2. Variations on the Samuelson-Scott theme 43 3. 3.

Author : Barry C Arnold,Narayanaswamy Balakrishnan
Publisher : Unknown
Page : 188 pages
File Size : 44,9 Mb
Release : 1989-05-22
Category : Electronic
ISBN : 1461236452

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Relations, Bounds and Approximations for Order Statistics by Barry C Arnold,Narayanaswamy Balakrishnan Pdf

Author : Barry C. Arnold,N. Balakrishnan,H. N. Nagaraja
Publisher : SIAM
Page : 291 pages
File Size : 48,8 Mb
Release : 2008-09-25
Category : Mathematics
ISBN : 9780898716481

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A First Course in Order Statistics by Barry C. Arnold,N. Balakrishnan,H. N. Nagaraja Pdf

This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.

Author : N. Balakrishnan,A. Clifford Cohen
Publisher : Elsevier
Page : 392 pages
File Size : 50,9 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483297491

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Order Statistics & Inference by N. Balakrishnan,A. Clifford Cohen Pdf

The literature on order statistics and inferenc eis quite extensive and covers a large number of fields ,but most of it is dispersed throughout numerous publications. This volume is the consolidtion of the most important results and places an emphasis on estimation. Both theoretical and computational procedures are presented to meet the needs of researchers, professionals, and students. The methods of estimation discussed are well-illustrated with numerous practical examples from both the physical and life sciences, including sociology,psychology,a nd electrical and chemical engineering. A complete, comprehensive bibliography is included so the book can be used both aas a text and reference.

Author : N. Balakrishnan,Enrique Castillo,Jose-Maria Sarabia Alegria
Publisher : Springer Science & Business Media
Page : 515 pages
File Size : 51,5 Mb
Release : 2007-10-23
Category : Mathematics
ISBN : 9780817644871

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Advances in Distribution Theory, Order Statistics, and Inference by N. Balakrishnan,Enrique Castillo,Jose-Maria Sarabia Alegria Pdf

The purpose of this book is to honor the fundamental contributions to many different areas of statistics made by Barry Arnold. Distinguished and active researchers highlight some of the recent developments in statistical distribution theory, order statistics and their properties, as well as inferential methods associated with them. Applications to survival analysis, reliability, quality control, and environmental problems are emphasized.

Author : J. P. Vilaplana,M. N. Puri
Publisher : Walter de Gruyter GmbH & Co KG
Page : 480 pages
File Size : 45,7 Mb
Release : 2020-05-18
Category : Mathematics
ISBN : 9783112313961

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Recent Advances in Statistics and Probability by J. P. Vilaplana,M. N. Puri Pdf

No detailed description available for "Recent Advances in Statistics and Probability".

Author : N. Balakrishnan,W.S. Chen
Publisher : Springer Science & Business Media
Page : 873 pages
File Size : 51,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461553090

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Handbook of Tables for Order Statistics from Lognormal Distributions with Applications by N. Balakrishnan,W.S. Chen Pdf

Lognormal distributions are one of the most commonly studied models in the sta tistical literature while being most frequently used in the applied literature. The lognormal distributions have been used in problems arising from such diverse fields as hydrology, biology, communication engineering, environmental science, reliability, agriculture, medical science, mechanical engineering, material science, and pharma cology. Though the lognormal distributions have been around from the beginning of this century (see Chapter 1), much of the work concerning inferential methods for the parameters of lognormal distributions has been done in the recent past. Most of these methods of inference, particUlarly those based on censored samples, involve extensive use of numerical methods to solve some nonlinear equations. Order statistics and their moments have been discussed quite extensively in the literature for many distributions. It is very well known that the moments of order statistics can be derived explicitly only in the case of a few distributions such as exponential, uniform, power function, Pareto, and logistic. In most other cases in cluding the lognormal case, they have to be numerically determined. The moments of order statistics from a specific lognormal distribution have been tabulated ear lier. However, the moments of order statistics from general lognormal distributions have not been discussed in the statistical literature until now primarily due to the extreme computational complexity in their numerical determination.

Author : Anonim
Publisher : Elsevier
Page : 6964 pages
File Size : 51,9 Mb
Release : 2009-04-17
Category : Education
ISBN : 9780080448947

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International Encyclopedia of Education by Anonim Pdf

The field of education has experienced extraordinary technological, societal, and institutional change in recent years, making it one of the most fascinating yet complex fields of study in social science. Unequalled in its combination of authoritative scholarship and comprehensive coverage, International Encyclopedia of Education, Third Edition succeeds two highly successful previous editions (1985, 1994) in aiming to encapsulate research in this vibrant field for the twenty-first century reader. Under development for five years, this work encompasses over 1,000 articles across 24 individual areas of coverage, and is expected to become the dominant resource in the field. Education is a multidisciplinary and international field drawing on a wide range of social sciences and humanities disciplines, and this new edition comprehensively matches this diversity. The diverse background and multidisciplinary subject coverage of the Editorial Board ensure a balanced and objective academic framework, with 1,500 contributors representing over 100 countries, capturing a complete portrait of this evolving field. A totally new work, revamped with a wholly new editorial board, structure and brand-new list of meta-sections and articles Developed by an international panel of editors and authors drawn from senior academia Web-enhanced with supplementary multimedia audio and video files, hotlinked to relevant references and sources for further study Incorporates ca. 1,350 articles, with timely coverage of such topics as technology and learning, demography and social change, globalization, and adult learning, to name a few Offers two content delivery options - print and online - the latter of which provides anytime, anywhere access for multiple users and superior search functionality via ScienceDirect, as well as multimedia content, including audio and video files

Author : N. Balakrishnan,William Chen
Publisher : Routledge
Page : 720 pages
File Size : 44,8 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351457156

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CRC Handbook of Tables for Order Statistics from Inverse Gaussian Distributions with Applications by N. Balakrishnan,William Chen Pdf

First derived within the context of life-testing, inverse Gaussian distribution has become one of the most important and widely employed distributions, and is often used to model the lifetimes of components. It is also used as a model in many varied applications, including fatigue analysis, economic prediction analysis, and the analysis of extreme events such as rainfall and flood levels. The interesting features and properties of this distribution make it an important and realistic model in a variety of problems across numerous disciplines. Because of the broad range of applications, this handbook will be useful not only to members of the statistical community but will also appeal to applied scientists, engineers, econometricians, and anyone who desires a thorough evaluation of this important topic.

Author : Mohammad Ahsanullah,Valeriĭ Borisovich Nevzorov
Publisher : Nova Publishers
Page : 252 pages
File Size : 47,7 Mb
Release : 2005
Category : Mathematics
ISBN : 1594540713

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Order Statistics by Mohammad Ahsanullah,Valeriĭ Borisovich Nevzorov Pdf

A lot of probabilists and statisticians, as well as actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists, business and sport analysts, very often deal with order statistics, which plays an important role in various fields of statistics and its applications. The authors suggest an approach to studying order statistics which proposes an active participation of our reader in the studying process. This book enables a reader to check his/her level of understanding of the theory of order statistics. It gives basic formulae (without proof), which are most important in the theory, and presents a lot of examples, which illustrate the theoretical statements.

Author : Mohammad Ahsanullah,Valery B. Nevzorov
Publisher : Springer
Page : 255 pages
File Size : 43,5 Mb
Release : 2015-07-27
Category : Mathematics
ISBN : 9789462391369

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Records via Probability Theory by Mohammad Ahsanullah,Valery B. Nevzorov Pdf

A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with records which play important roles in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of record values. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in record statistics, as well as for graduate students the study of our book needs the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge. An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book.

Author : Mohammad Ahsanullah
Publisher : Springer
Page : 137 pages
File Size : 41,8 Mb
Release : 2016-09-15
Category : Mathematics
ISBN : 9789462392229

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Extreme Value Distributions by Mohammad Ahsanullah Pdf

The aim of the book is to give a through account of the basic theory of extreme value distributions. The book cover a wide range of materials available to date. The central ideas and results of extreme value distributions are presented. The book rwill be useful o applied statisticians as well statisticians interrested to work in the area of extremen value distributions.vmonograph presents the central ideas and results of extreme value distributions.The monograph gives self-contained of theory and applications of extreme value distributions.

Author : N. Balakrishnan
Publisher : CRC Press
Page : 630 pages
File Size : 40,6 Mb
Release : 2013-10-09
Category : Mathematics
ISBN : 0849384842

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Handbook of the Logistic Distribution by N. Balakrishnan Pdf

This book highlights various theoretical developments on logistic distribution, illustrates the practical utility of these results, and describes univariate and multivariate generalizations of the distribution. It is useful for researchers, practicing statisticians, and graduate students.

Author : Herbert A. David,Haikady N. Nagaraja
Publisher : John Wiley & Sons
Page : 482 pages
File Size : 52,6 Mb
Release : 2004-03-22
Category : Mathematics
ISBN : 9780471654018

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Order Statistics by Herbert A. David,Haikady N. Nagaraja Pdf

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.

Author : John E. Kolassa
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 47,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475742756

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Series Approximation Methods in Statistics by John E. Kolassa Pdf

This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques. Many other authors have also written monographs on this subject, and so this work is narrowly focused on two areas not recently discussed in theoretical text books. These areas are, first, a rigorous consideration of Edgeworth and saddlepoint expansion limit theorems, and second, a survey of the more recent developments in the field. In presenting expansion limit theorems I have drawn heavily 011 notation of McCullagh (1987) and on the theorems presented by Feller (1971) on Edgeworth expansions. For saddlepoint notation and results I relied most heavily on the many papers of Daniels, and a review paper by Reid (1988). Throughout this book I have tried to maintain consistent notation and to present theorems in such a way as to make a few theoretical results useful in as many contexts as possible. This was not only in order to present as many results with as few proofs as possible, but more importantly to show the interconnections between the various facets of asymptotic theory. Special attention is paid to regularity conditions. The reasons they are needed and the parts they play in the proofs are both highlighted.