Handbook Of Tables For Order Statistics From Lognormal Distributions With Applications

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Handbook Of Tables For Order Statistics From Lognormal Distributions With Applications
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Author : N. Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Handbook Of Tables For Order Statistics From Lognormal Distributions With Applications written by N. Balakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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.
Handbook Of Tables For Order Statistics From Lognormal Distributions With Applications
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Author : N Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-03-31
Handbook Of Tables For Order Statistics From Lognormal Distributions With Applications written by N Balakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-31 with Mathematics categories.
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.
Order Statistics
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Author : Herbert A. David
language : en
Publisher: John Wiley & Sons
Release Date : 2004-03-22
Order Statistics written by Herbert A. David and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-22 with Mathematics categories.
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.
Crc Handbook Of Tables For The Use Of Order Statistics In Estimation
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Author : H. Leon Harter
language : en
Publisher: CRC Press
Release Date : 1996-02-21
Crc Handbook Of Tables For The Use Of Order Statistics In Estimation written by H. Leon Harter and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-21 with Mathematics categories.
The CRC Handbook of Tables for the Use of Order Statistics in Estimation revises and significantly expands upon the well-known Order Statistics and Their Use in Testing and Estimation (Volume 2), published in 1970. It brings together tables relating to order statistics from many important distributions and provides maximum likelihood estimations of their parameters based on complete as well as Type-II censored samples. This practical reference describes in detail the method of computation used to construct the tables and illustrates their usefulness with practical examples. The CRC Handbook of Tables for the Use of Order Statistics in Estimation is easy to use and provides information on order statistics estimation at your fingertips.
Crc Handbook Of Tables For Order Statistics From Inverse Gaussian Distributions With Applications
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Author : N. Balakrishnan
language : en
Publisher: Routledge
Release Date : 2017-11-22
Crc Handbook Of Tables For Order Statistics From Inverse Gaussian Distributions With Applications written by N. Balakrishnan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
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.
Guide To Information Sources In Mathematics And Statistics
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Author : Martha A. Tucker
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2004-09-30
Guide To Information Sources In Mathematics And Statistics written by Martha A. Tucker and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-30 with Language Arts & Disciplines categories.
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
Progressive Censoring
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Author : N. Balakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Progressive Censoring written by N. Balakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Censored sampling arises in a life-testing experiment whenever the experimenter does not observe (either intentionally or unintentionally) the failure times of all units placed on a life-test. Inference based on censored sampling has been studied during the past 50 years by numerous authors for a wide range of lifetime distributions such as normal, exponential, gamma, Rayleigh, Weibull, extreme value, log-normal, inverse Gaussian, logistic, Laplace, and Pareto. Naturally, there are many different forms of censoring that have been discussed in the literature. In this book, we consider a versatile scheme of censoring called progressive Type-II censoring. Under this scheme of censoring, from a total of n units placed on a life-test, only m are completely observed until failure. At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment. At the time of the next failure, R2 of the n - 2 -Rl surviving units are censored, and so on. Finally, at the time of the m-th failure, all the remaining Rm = n - m -Rl - . . . - Rm-l surviving units are censored. Note that censoring takes place here progressively in m stages. Clearly, this scheme includes as special cases the complete sample situation (when m = nand Rl = . . . = Rm = 0) and the conventional Type-II right censoring situation (when Rl = . . . = Rm-l = 0 and Rm = n - m).
Handbook Of Fitting Statistical Distributions With R
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Author : Zaven A. Karian
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Handbook Of Fitting Statistical Distributions With R written by Zaven A. Karian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
With the development of new fitting methods, their increased use in applications, and improved computer languages, the fitting of statistical distributions to data has come a long way since the introduction of the generalized lambda distribution (GLD) in 1969. Handbook of Fitting Statistical Distributions with R presents the latest and best methods
The Hospital Manager S Guide To Artificial Intelligence
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Author : Smaranda Belciug
language : en
Publisher: Springer Nature
Release Date : 2025-01-22
The Hospital Manager S Guide To Artificial Intelligence written by Smaranda Belciug and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-22 with Computers categories.
This book presents an essential guide to understanding the power of artificial intelligence in reshaping the healthcare system. In the rapidly evolving world of healthcare, a guide of how to use artificial intelligence in hospital management is crucial. The book explores how readers can use artificial intelligence to optimize patient care, costs, revenue, and profits. It examines real-world applications and case studies and provides theoretical concepts together with examples in order to show the hospital manager how to avoid over-testing, over-treating, and over-resourcing, how to enhance the pathology and radiology departments, how to use the Internet of Surgical things together with virtual and augmented reality. Besides this, it is shown how multiple artificial intelligence models can be used in disaster scenarios. Whether readers are computer scientists, mathematicians, healthcare professionals, medical students, or tech enthusiasts, this book provides a clear look into how artificial intelligence is shaping the future of hospitals. Embrace the chance artificial intelligence brings to the healthcare system and learn how it can be used to save lives today.
Pregnancy With Artificial Intelligence
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Author : Smaranda Belciug
language : en
Publisher: Springer Nature
Release Date : 2022-10-25
Pregnancy With Artificial Intelligence written by Smaranda Belciug and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-25 with Technology & Engineering categories.
This book aims to provide a refreshing, friendly and exciting manner artificial intelligence (AI) theoretical concepts and practical methods applied in obstetrics and gynaecology. The book follows the nine and a half months journey from preconception till birth alongside with AI. It discusses topics such as the poignant role of AI in improving the change of women getting pregnant; AI methods for detecting congenital anomalies in first and second trimester foetal sonography; how AI aids physicians in determining what type of birth should be deployed (vaginal versus caesarean); how AI can predict pre-eclampsia, preterm birth, mortality, birth weight, miscarriage, postpartum depression, etc. Additionally, it provides information on AI used for perinatal depression, for the evaluation of the relationship between pollutants and pregnancy outcome and even how AI tools can improve physician training in labour and delivery. The book is designed for bioinformaticians, obstetric and gynaecology researchers and physicians, and all those who wish to learn how to explore, analyse, find novel potential solutions for the challenging domains: obstetrics and gynaecology. Likewise, this book will be useful for application engineers who wish to use AI paradigms in areas such as engineering and science too.