Chi-Squared Goodness of Fit Tests with Applications provides a thorough and complete context for the theoretical basis and implementation of Pearson’s monumental contribution and its wide applicability for chi-squared goodness of fit tests. The book is ideal for researchers and scientists conducting statistical analysis in processing of experimental data as well as to students and practitioners with a good mathematical background who use statistical methods. The historical context, especially Chapter 7, provides great insight into importance of this subject with an authoritative author team. This reference includes the most recent application developments in using these methods and models.

Chi-Squared Goodness of Fit Tests with Applications

Business & Money

Balakrishnan, Narayanaswamy

Nikulin, M.S.

Voinov, Vassilly

Economics

Academic Press

Hybrid Censoring: Models, Methods and Applications for Engineering and Bio Health focuses on hybrid censoring, a specific yet important topic in censoring methodology that has numerous applications. Readers will find information on the significance of censored data in theoretical and applied contexts and descriptions of extensive data sets from life-testing experiments where these forms of data naturally occur.  The existing literature on censoring methodology, life-testing procedures, or lifetime data analysis provides only hybrid censoring schemes, with little information about hybrid censoring methodologies, ideas, and statistical inferential methods. This book fills that gap by providing readers with valuable information on these topics. The statistical tools presented are applicable to data from medicine, biology, public health, epidemiology, engineering, economics, and demography.Presents many numerical examples to adequately illustrate all the inferential methods discussedProvides open problems and possible directions for future workReviews developments pertaining to Type-II HCS, and includes the most recent research and trendsExplains why the hybrid censored sampling is importantProvides detail in using HCS under different settings and the designs of HCSIncludes R code on website for ease of use

Hybrid Censoring Know-How: Designs and Implementations

Science & Math

Cramer, Erhard

Kundu, Debasis

Mathematics

Reliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and Applications discusses all past and recent developments on start-up demonstration tests in the context of current numerical and illustrative examples to clarify available methods for distribution theorists and applied mathematicians dealing with control problems. Throughout the book, the authors focus on the panorama of open problems and issues of further interest. As contemporary manufacturers face tremendous commercial pressures to assemble works of high reliability, defined as 'the probability of the product performing its role under the stated conditions and over a specified period of time', this book helps address testing issues.

Reliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and Applications

Koutras, Markos

Milienos, Fotios

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.

Relations, Bounds and Approximations for Order Statistics (Lecture Notes in Statistics, 53)

Arnold, Barry C.

Springer

Handbook of Statistics: Advances in Survival Analysis covers all important topics in the area of Survival Analysis. Each topic has been covered by one or more chapters written by internationally renowned experts. Each chapter provides a comprehensive and up-to-date review of the topic. Several new illustrative examples have been used to demonstrate the methodologies developed. The book also includes an exhaustive list of important references in the area of Survival Analysis.

Advances in Survival Analysis (Volume 23) (Handbook of Statistics, Volume 23)

Politics & Social Sciences

Rao, C.R.

Social Sciences

North-Holland

Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: <ul>
<li> Sequential methods in biomedical research </li> <li>Statistical measures of human quality of life</li> <li>Change-point methods in genetics</li> <li>Sample size determination for clinical trials</li> <li>Mixed-effects regression models for predicting pre-clinical disease</li> <li>Probabilistic and statistical models for conception</li> </ul>
Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.

Methods and Applications of Statistics in the Life and Health Sciences

Reference

Encyclopedias & Subject Guides

wiley

Explore the classic and cutting-edge quantitative methods for understanding environmental science research Based on the multifaceted 16-volume Encyclopedia of Statistical Sciences, Second Edition, Methods and Applications of Statistics in the Atmospheric and Earth Sciences offers guidance on the application of statistical methods for conducting research in these fields of study. With contributions from more than 100 leading experts in academia and industry, this volume combines key articles from the Encyclopedia with newly developed topics addressing some of the more critical issues, including pollution, droughts, and volcanic activity. Readers will gain a thorough understanding of cutting-edge methods for the acquisition and analysis of data across a wide range of subject areas, from geophysics, geology, and biogeography to meteorology, forestry, agriculture, animal science, and ornithology. The book features new and updated content on quantitative methods and their use in understanding the latest topics in social research, including:   Drought Analysis and Forecasting Childhood Obesity  Ranked Set Sampling Methodology for Environmental Data  Species Richness and Shared Species Richness  Geographic Information Systems  Each contribution offers authoritative yet easily accessible coverage of statistical concepts. With updated references and discussion of emerging topics, readers are provided with the various statistical methods, techniques, strategies, and applications that are essential for tackling critical issues in environmental science research. Featuring a balance of classical and cutting-edge methodologies, Methods and Applications of Statistics in the Atmospheric and Earth Sciences is an excellent resource for researchers, professionals, and students in the fields of sociology, psychology, philosophy, education, political science, and the related disciplines who would like to learn about the uses of statistics in gathering, reporting, and analyzing data.

Methods and Applications of Statistics in the Atmospheric and Earth Sciences

This book provides the basics needed to develop sensor network software and supplements it with many case studies covering network applications. It also examines how to develop onboard applications on individual sensors, how to interconnect these sensors, and how to form networks of sensors, although the major aim of this book is to provide foundational principles of developing sensor networking software and critically examine sensor network applications.

Fundamentals of Sensor Network Programming: Applications and Technology

Engineering & Transportation

Phoha, Vir V.

Iyengar, S. Sitharama

Parameshwaran, Nandan

Okoye, Chuka D.

Engineering

Wiley-IEEE Press

The first and only comprehensive guide to modern record theory andits applications  Although it is often thought of as a special topic in orderstatistics, records form a unique area, independent of the study ofsample extremes. Interest in records has increased steadily overthe years since Chandler formulated the theory of records in 1952.Numerous applications of them have been developed in such far-flungfields as meteorology, sports analysis, hydrology, and stock marketanalysis, to name just a few. And the literature on the subjectcurrently comprises papers and journal articles numbering in thehundreds. Which is why it is so nice to have this book devotedexclusively to this lively area of statistics.  Written by an exceptionally well-qualified author team, Recordspresents a comprehensive treatment of record theory and itsapplications in a variety of disciplines. With the help of amultitude of fascinating examples, Professors Arnold, Balakrishnan,and Nagaraja help readers quickly master basic and advanced recordvalue concepts and procedures, from the classical record valuemodel to random and multivariate record models. The book follows arational textbook format, featuring witty and insightful chapterintroductions that help smooth transitions from one topic toanother and challenging chapter-end exercises, which expand on thematerial covered. An extensive bibliography and numerous referencesthroughout the text specify sources for further readings onrelevant topics. Records is a valuable professional resource forprobabilists and statisticians, in addition to appliedstatisticians, meteorologists, hydrologists, market analysts, andsports analysts. It also makes an excellent primary text forcourses in record theory and a supplement to order statisticscourses.

Records (Wiley Series in Probability and Statistics)

Nagaraja, Haikady N.

Timely, comprehensive, practical--an important working resource forall who use this critical statistical method Discrete Multivariate Distributions is the only comprehensive,single-source reference for this increasingly important statisticalsubdiscipline. It covers all significant advances that haveoccurred in the field over the past quarter century in the theory,methodology, computational procedures, and applications of discretemultivariate distributions in a wide range of disciplines.Distributions covered include multinomial, binomial, negativebinomial, Poisson, power series, hypergeometric, Polya-Eggenberger,Ewens, orders, and some families of distributions. Eachdistribution is presented in its own chapter, along with necessarydetails and descriptions of real-world applications gleaned fromthe current literature on discrete multivariatedistributions. Discrete Multivariate Distributions is the fourth volume of theongoing revision of Johnson and Kotz's acclaimed Distributions inStatistics--universally acknowledged to be the definitive work onstatistical distributions. Originally planned as a revision ofChapter 11 of that classic, this project soon blossomed into asubstantial volume as a result of the unprecedented growth that hasoccurred in the literature on discrete multivariate distributionsand their applications over the past quarter century. The only comprehensive, single-volume work on the subject, thisvaluable reference affords statisticians direct access to all ofthe latest developments concerning discrete multivariatedistributions. Concentrating primarily on areas of interest totheoretical as well as applied statisticians, the authors providecomplete coverage of several important discrete multivariatedistributions. These include multinomial, binomial, negativebinomial, Poisson, power series, hypergeometric, Polya-Eggenberger,Ewens, orders, and some families of distributions. Discrete Multivariate Distributions begins with a general overviewof the multivariate method in which the authors lay the basictheoretical groundwork for the discussions that follow. For clarityand consistency, subsequent chapters follow a similar format,beginning with a concise historical account followed by adiscussion of properties and characteristics. Coverage thenadvances to in-depth explorations of inferential issues andapplications, liberally supplemented with helpful details and acollection of real-world applications obtained from the authors'extensive searches of current literature worldwide. Discrete Multivariate Distributions is an essential workingresource for researchers, professionals, practitioners, andgraduate students in statistics, mathematics, computer science,engineering, medicine, and the biological sciences.

Discrete Multivariate Distributions

Kotz, Samuel

Johnson, Norman L.

Wiley-Interscience

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