A First Course in Order Statistics PDF Download
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Author: Barry C. Arnold
Publisher: SIAM
ISBN: 0898716489
Category : Mathematics
Languages : en
Pages : 291
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Book Description
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: Barry C. Arnold
Publisher: SIAM
ISBN: 0898716489
Category : Mathematics
Languages : en
Pages : 291
Get Book Here
Book Description
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: Mohammad Ahsanullah
Publisher: Nova Publishers
ISBN: 9781594540714
Category : Mathematics
Languages : en
Pages : 252
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Book Description
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: N Balakrishnan
Publisher: Springer Science & Business Media
ISBN: 9780792357124
Category : Mathematics
Languages : en
Pages : 888
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Book Description
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: Herbert A. David
Publisher: John Wiley & Sons
ISBN: 0471654019
Category : Mathematics
Languages : en
Pages : 482
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Book Description
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: Mohammad Faizan
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659284557
Category :
Languages : en
Pages : 116
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Book Description
The only method of finding distribution function exactly, which avoids the subjective choice, is a characterization theorem. A theorem is on a characterization of a distribution function if it concludes that a set of conditions is satisfied by distribution function and only by the distribution function. In this book a family of probability distribution have been characterized through conditional expectations of the difference of two order statistics, record values and generalized order statistics conditioned on non-adjacent ordered statistics. The last three chapters based on single and product moments and also recurrence relations of moments of generalized ordered statistics and dual generalized order statistics from a general class of distribution which contains Burr XII distribution, Weibull distribution, power function distribution, Pareto distribution and exponential distribution etc. as its particular case .
Author: Devendra Kumar
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659182891
Category :
Languages : en
Pages : 124
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Book Description
With moments of order statistics and its applications Kumar and Khan have provided a non-intimidating moments of order statistics text book that student can easily read and understand. Concept are fully explained in simple, easy to understand language as they are presented, making the text an excellent source from which to learn and teach. After each discussion readers are guided through real-world examples to show how text book principle work in professional practice.
Author:
Publisher: Springer-Verlag
ISBN: 3663091961
Category : Technology & Engineering
Languages : de
Pages : 211
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Book Description
Author: Ahmed E. Sarhan
Publisher:
ISBN: 9781258584757
Category :
Languages : en
Pages : 508
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Book Description
Contributing Authors Include Gunnar Blom, H. A. David, Wilfrid J. Dixon And Others.
Author: Mohammad Ahsanullah
Publisher: Springer Science & Business Media
ISBN: 949121683X
Category : Mathematics
Languages : en
Pages : 241
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Book Description
This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more.
Author: Holger Dette
Publisher: John Wiley & Sons
ISBN: 9780471109914
Category : Mathematics
Languages : en
Pages : 368
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Book Description
This new material is concerned with the theory and applications of probability, statistics and analysis of canonical moments. It provides a powerful tool for the determination of optimal experimental designs, for the calculation of the main characteristics of random walks, and for other moment problems appearing in probability and statistics.
