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The Weibull distribution has been one of the most cited lifetime distributions in reliability engineering. Over the last decade, many generalizations and extensions of the Weibull have been proposed in order to provide more flexibility than the traditional version when it comes to modeling lifetime data in diverse fields. This book offers an update on these developments, presenting the essential properties of each model. Several plots of density and hazard rate functions are also included, and a brief outline of known application(s) for each model is also given.

Distribution (Probability theory) --- Probabilities. --- Weibull distribution. --- Statistics. --- Statistics, general. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistics .

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Operational research. Game theory --- Mathematical statistics --- Statistical physics --- Engineering sciences. Technology --- Production management --- Business economics --- betrouwbaarheid --- statistische kwaliteitscontrole --- industriële statistieken --- stochastische analyse --- statistiek --- speltheorie --- econometrie --- operationeel onderzoek --- kwaliteitscontrole --- kansrekening

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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