Handbook Of Tables For Order Statistics From Lognormal Distributions With Applications

Author : N. Balakrishnan,W.S. Chen
Publisher : Springer Science & Business Media
Page : 873 pages
File Size : 47,9 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 : N. Balakrishnan,William Chen
Publisher : Routledge
Page : 701 pages
File Size : 49,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351457163

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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 : H. Leon Harter,N. Balakrishnan
Publisher : CRC Press
Page : 696 pages
File Size : 49,9 Mb
Release : 1996-02-21
Category : Mathematics
ISBN : 084939452X

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CRC Handbook of Tables for the Use of Order Statistics in Estimation by H. Leon Harter,N. Balakrishnan Pdf

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.

Author : Herbert A. David,Haikady N. Nagaraja
Publisher : John Wiley & Sons
Page : 482 pages
File Size : 46,6 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 : Martha A. Tucker,Nancy D. Anderson
Publisher : Bloomsbury Publishing USA
Page : 362 pages
File Size : 54,6 Mb
Release : 2004-09-30
Category : Language Arts & Disciplines
ISBN : 9780313053375

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Guide to Information Sources in Mathematics and Statistics by Martha A. Tucker,Nancy D. Anderson Pdf

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.

Author : Zaven A. Karian,Edward J. Dudewicz
Publisher : CRC Press
Page : 1722 pages
File Size : 49,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781584887126

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Handbook of Fitting Statistical Distributions with R by Zaven A. Karian,Edward J. Dudewicz Pdf

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

Author : N. Balakrishnan,Rita Aggarwala
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213345

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Progressive Censoring by N. Balakrishnan,Rita Aggarwala Pdf

This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.

Author : Eric W. Weisstein
Publisher : CRC Press
Page : 3253 pages
File Size : 47,7 Mb
Release : 2002-12-12
Category : Mathematics
ISBN : 9781420035223

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CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Author : Crow
Publisher : CRC Press
Page : 412 pages
File Size : 47,5 Mb
Release : 1987-12-29
Category : Mathematics
ISBN : 0824778030

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Lognormal Distributions by Crow Pdf

This outstanding reference encompasses the most-up-to-date advances in lognormal distributions in thorough, detailed contributions by specialists in statistics, business and economics, industry, biology, ecology, geology, and meteorology.

Author : K. Krishnamoorthy
Publisher : CRC Press
Page : 371 pages
File Size : 46,8 Mb
Release : 2006-06-19
Category : Mathematics
ISBN : 9781420011371

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Handbook of Statistical Distributions with Applications by K. Krishnamoorthy Pdf

In the area of applied statistics, scientists use statistical distributions to model a wide range of practical problems, from modeling the size grade distribution of onions to modeling global positioning data. To apply these probability models successfully, practitioners and researchers must have a thorough understanding of the theory as well as a

Author : Olga A. Smirnova
Publisher : Springer
Page : 359 pages
File Size : 42,9 Mb
Release : 2016-10-14
Category : Science
ISBN : 9783319457611

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Environmental Radiation Effects on Mammals by Olga A. Smirnova Pdf

Dr. Smirnova's updated text is devoted to the theoretical studies of radiation effects on mammals. It summarizes 35 years of results the author obtained from analyzing dose rate equivalents for the Galactic Cosmic Rays (GCR) and for Solar Particles Events (SPE). This edition also includes two new chapters on skin epidermal epithelium and risk assessment for myeloid leukemia, as well as extended revisions addressing the radiation effects on the blood-forming system. Mathematical models are used to explain the effects of both acute and chronic irradiation on the dynamics of vital body systems, like the hematopoietic system, the development of autoimmune diseases, and the mortality dynamics in homogeneous and nonhomogeneous mammalian populations. The proposed methodology of these studies, the models themselves, and the obtained results are of a great theoretical significance and can find wide practical use.

Author : Crow
Publisher : Routledge
Page : 234 pages
File Size : 52,5 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781351434683

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Lognormal Distributions by Crow Pdf

Presenting the first comprehensive review of the subject's theory and applications inmore than 15 years, this outstanding reference encompasses the most-up-to-date advancesin lognormal distributions in thorough, detailed contributions by specialists in statistics,business and economics , industry, biology , ecology, geology, and meteorology.Lognormal Distributions describes the theory and methods of point and intervalestimation as well as the testing of hypotheses clearly and precisely from a modemviewpoint-not only for the basic two-parameter lognormal distribution but also for itsgeneralizations, including three parameters, truncated distributions, delta-lognormaldistributions, and two or more dimensions.Featuring over 600 references plus author and subject indexes, this volume rev iews thesubject's history .. . gives explicit formulas for minimum variance unbiased estimates ofparameters and their variances ... provides optimal tests of hypotheses and confidenceinterval procedures for various functions of the parameters in the two-parameter model. .. and discusses practical methods of analysis for truncated, censored, or groupedsamples.

Author : Smaranda Belciug,Dominic Iliescu
Publisher : Springer Nature
Page : 283 pages
File Size : 49,7 Mb
Release : 2022-10-25
Category : Technology & Engineering
ISBN : 9783031181542

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Pregnancy with Artificial Intelligence by Smaranda Belciug,Dominic Iliescu Pdf

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.

Author : Daniel Zwillinger,Stephen Kokoska
Publisher : CRC Press
Page : 576 pages
File Size : 45,7 Mb
Release : 1999-12-27
Category : Mathematics
ISBN : 1420050265

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CRC Standard Probability and Statistics Tables and Formulae by Daniel Zwillinger,Stephen Kokoska Pdf

Whether you are a statistician, engineer, or businessperson, you need statistics. You want to be able to easily reference tables, find formulas, and know how to use them so you can extract information from data without getting bogged down by advanced statistical methods. Your goal is to determine the appropriate statistical procedures and interpret the results. Standard Probability and Statistics: Tables and Formulae provides the tools you need to do just that. Logically organized and reaching far beyond a mere catalog, a textual description accompanies each entry- most include an example. The topics addressed are directly applicable to modern business and engineering as well as to statistics, including regression analysis, ANOVA, decision theory, signal processing, and control theory. The result is an accessible, example-oriented handbook that supplies the basic principles, the most commonly used values, and the information to make them work for you. It is easy to fill a statistics reference with hundreds of pages of tables - sometimes for just one test. This handbook is much more. With topics ranging from classical statistics to modern applications, Standard Probability and Statistics fills the need for an up-to-date, authoritative statistics reference.

Author : American Statistical Association
Publisher : Unknown
Page : 488 pages
File Size : 53,6 Mb
Release : 1999
Category : Statisticians
ISBN : UOM:39015049351615

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AMSTAT News by American Statistical Association Pdf