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Random variables are rarely independent in practice and so many multivariate distributions have been proposed in the literature to give a dependence structure for two or more variables. In this book, we restrict ourselves to the bivariate distributions for two reasons: (i) correlation structure and other properties are easier to understand and the joint density plot can be displayed more easily, and (ii) a bivariate distribution can normally be extended to a multivariate one through a vector or matrix representation. This volume is a revision of Chapters 1-17 of the previous book Continuous Bivariate Distributions, Emphasising Applications authored by Drs. Paul Hutchinson and Chin-Diew Lai. The book updates the subject of copulas which have grown immensely during the past two decades. Similarly, conditionally specified distributions and skewed distributions have become important topics of discussion in this area of research. This volume, which provides an up-to-date review of various developments relating to bivariate distributions in general, should be of interest to academics and graduate students, as well as applied researchers in finance, economics, science, engineering and technology. N. BALAKRISHNAN is Professor in the Department of Mathematics and Statistics at McMaster University, Hamilton, Ontario, Canada. He has published numerous research articles in many areas of probability and statistics and has authored a number of books including the four-volume series on Distributions in Statistics, jointly with Norman L. Johnson and S. Kotz, published by Wiley. He is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics, and the Editor-in-Chief of Communications in Statistics and the Executive Editor of Journal of Statistical Planning and Inference. CHIN-DIEW LAI holds a Personal Chair in Statistics at Massey University, Palmerston North, New Zealand. He has published more than 100 peer-reviewed research articles and co-authored three well-received books. He was a former editor-in-chief and is now an Associate Editor of the Journal of Applied Mathematics and Decision Sciences. .
Distribution (Probability theory). --- Distribution (Probability theory) --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Probabilities. --- Probability --- Statistical inference --- Distribution functions --- Frequency distribution --- Translation planes --- Plans de translation --- 514.16 --- Planes, Translation --- Geometries over algebras --- Translation planes. --- 514.16 Geometries over algebras --- Statistics. --- Statistical Theory and Methods. --- Geometry, Affine --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Characteristic functions --- Probabilities --- Mathematical statistics. --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Statistical methods --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Géometrie
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An outgrowth of the sixth conference on Mathematical Methods in Reliability: Theory, Methods, and Applications, this book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability. Written by recognized experts in the field of reliability, the contributions cover a wide range of models, methods, and applications, reflecting recent developments in areas such as survival analysis, aging, lifetime data analysis, artificial intelligence, medicine, carcinogenesis studies, nuclear power, financial modeling, aircraft engineering, quality control, and transportation. The volume is thematically organized into four major sections: * Reliability Models, Methods, and Optimization; * Statistical Methods in Reliability; * Applications; * Computer Tools for Reliability. Mathematical and Statistical Models and Methods in Reliability is an excellent reference text for researchers and practitioners in applied probability and statistics, industrial statistics, engineering, medicine, finance, transportation, the oil and gas industry, and artificial intelligence.
Statistical science --- Operational research. Game theory --- Probability theory --- Mathematics --- Biomathematics. Biometry. Biostatistics --- Hygiene. Public health. Protection --- Applied physical engineering --- Planning (firm) --- Plant and equipment --- Production management --- betrouwbaarheid --- medische statistiek --- toegepaste wiskunde --- waarschijnlijkheidstheorie --- stochastische analyse --- veiligheid (bouw) --- biostatistiek --- economie --- mathematische modellen --- statistiek --- wiskunde --- kwaliteitscontrole --- kansrekening --- statistisch onderzoek
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S. Panchapakesan has made significant contributions to ranking and selection and has published in many other areas of statistics, including order statistics, reliability theory, stochastic inequalities, and inference. Written in his honor, the twenty invited articles in this volume reflect recent advances in these fields and form a tribute to Panchapakesan's influence and impact on these areas. Thematically organized, the chapters cover a broad range of topics from: * Inference * Ranking and Selection * Multiple Comparisons and Tests * Agreement Assessment * Reliability * Biostatistics Featuring theory, methods, applications, and extensive bibliographies with special emphasis on recent literature, this comprehensive reference work will serve researchers, practitioners, and graduate students in the statistical and applied mathematics communities.
Statistical science --- Operational research. Game theory --- Mathematical statistics --- Statistical physics --- Biomathematics. Biometry. Biostatistics --- Engineering sciences. Technology --- Business economics --- medische statistiek --- statistische kwaliteitscontrole --- industriële statistieken --- stochastische analyse --- biostatistiek --- statistiek --- biometrie --- econometrie --- kansrekening --- statistisch onderzoek
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Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold's significant contributions to the field, this volume is an outgrowth of the "International Conference on Distribution Theory, Order Statistics, and Inference," held at the University of Cantabria, Santander, Spain. Several 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. The volume is classified into the following five parts, according to the focus of the articles: * Discrete distributions and applications * Continuous distributions and applications * Order statistics and applications * Reliability and applications * Inference This comprehensive reference work will serve the statistical and applied mathematics communities, as well as practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics.
Statistical science --- Operational research. Game theory --- Mathematics --- Statistical physics --- Engineering sciences. Technology --- statistische kwaliteitscontrole --- industriële statistieken --- toegepaste wiskunde --- stochastische analyse --- kansrekening --- statistisch onderzoek
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This book constitutes revised selected papers from the International Conference on Advanced Computing, Networking and Security, ADCONS 2011, held in Surathkal, India, in December 2011. The 73 papers included in this book were carefully reviewed and selected from 289 submissions. The papers are organized in topical sections on distributed computing, image processing, pattern recognition, applied algorithms, wireless networking, sensor networks, network infrastructure, cryptography, Web security, and application security.
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Enrique Castillo is a leading figure in several mathematical, statistical, and engineering fields, having contributed seminal work in such areas as statistical modeling, extreme value analysis, multivariate distribution theory, Bayesian networks, neural networks, functional equations, artificial intelligence, linear algebra, optimization methods, numerical methods, reliability engineering, as well as sensitivity analysis and its applications. Organized to honor Castillo's significant contributions, this volume is an outgrowth of the International Conference on Mathematical and Statistical Modeling and covers recent advances in the field. Also presented are applications to safety, reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques. The book is divided into nine major sections: * Distribution Theory and Applications * Probability and Statistics * Order Statistics and Analysis * Engineering Modeling * Extreme Value Theory * Business and Economics Applications * Statistical Methods * Applied Mathematics * Discrete Distributions This comprehensive reference work will appeal to a diverse audience from the statistical, applied mathematics, engineering, and economics communities. Practitioners, researchers, and graduate students in mathematical and statistical modeling, optimization, and computing will benefit from this work.
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Statistical methods have become increasingly important and now form integral part of research in the health sciences. Many sophisticated methodologies have been developed for specific applications and problems. This self-contained volume, an outgrowth of an "International Conference on Statistical Methods in Health Sciences," covers a wide range of topics pertaining to new statistical methods and novel applications in the health sciences. The chapters, written by leading experts in their respective fields, are thematically divided into the following areas: * Prognostic studies and general epidemiology * Pharmacovigilance * Quality of life * Survival analysis * Clustering * Safety and efficacy assessment * Clinical design * Models for the environment * Genomic analysis * Animal health This comprehensive volume will be highly useful an of great interest to the health science community as well as practitioners, researchers, and graduate students in applied probability, statistics, and biostatistics.
Statistical science --- Operational research. Game theory --- Mathematics --- Biomathematics. Biometry. Biostatistics --- medische statistiek --- toegepaste wiskunde --- stochastische analyse --- biostatistiek --- biometrie --- kansrekening --- statistisch onderzoek
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This volume dedicated to William Q. Meeker on the occasion of his sixtieth birthday is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics, and finance. Specific topics covered include: * Accelerated testing and inference * Step-stress testing and inference * Nonparametric inference * Model validity in accelerated testing * The point process approach * Bootstrap methods in degradation analysis * Exact inferential methods in reliability * Dynamic perturbed systems * Degradation models in statistics Advances in Degradation Modeling is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.
Statistical science --- Operational research. Game theory --- Mathematical statistics --- Probability theory --- Biomathematics. Biometry. Biostatistics --- Business economics --- medische statistiek --- waarschijnlijkheidstheorie --- stochastische analyse --- biostatistiek --- statistiek --- econometrie --- kansrekening --- statistisch onderzoek
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