Using the Weibull Distribution

WILEY SERIES IN PROBABILITY AND STATISTICS

Established by WALTER A. SHEWHART and SAMUEL S. WILKS Editors: David J. Balding, Noel A. C. Cressie, Garrett M. Fitzmaurice, Harvey Goldstein, Iain M. Johnstone, Geert Molenberghs, David W. Scott, Adrian F. M. Smith, Ruey S. Tsay, Sanford Weisberg Editors Emeriti: Vic Barnett, J. Stuart Hunter, Joseph B. Kadane, Jozef L. Teugels

The Wiley Series in Probability and Statistics is well established and authoritative. It covers many topics of current research interest in both pure and applied statistics and probability theory. Written by leading statisticians and institutions, the titles span both state-of-the-art developments in the field and classical methods.

Reflecting the wide range of current research in statistics, the series encompasses applied, methodological and theoretical statistics, ranging from applications and new techniques made possible by advances in computerized practice to rigorous treatment of theoretical approaches.

This series provides essential and invaluable reading for all statisticians, whether in academia, industry, government, or research.

† ABRAHAM and LEDOLTER · Statistical Methods for Forecasting AGRESTI · Analysis of Ordinal Categorical Data, Second Edition AGRESTI · An Introduction to Categorical Data Analysis, Second Edition AGRESTI · Categorical Data Analysis, Second Edition ALTMAN, GILL, and McDONALD · Numerical Issues in Statistical Computing for the Social Scientist AMARATUNGA and CABRERA · Exploration and Analysis of DNA Microarray and Protein Array Data ANDL · Mathematics of Chance ANDERSON · An Introduction to Multivariate Statistical Analysis, Third Edition * ANDERSON · The Statistical Analysis of Time Series ANDERSON, AUQUIER, HAUCK, OAKES, VANDAELE, and WEISBERG · Statistical Methods for Comparative Studies ANDERSON and LOYNES · The Teaching of Practical Statistics ARMITAGE and DAVID (editors) · Advances in Biometry ARNOLD, BALAKRISHNAN, and NAGARAJA · Records * ARTHANARI and DODGE · Mathematical Programming in Statistics * BAILEY · The Elements of Stochastic Processes with Applications to the Natural Sciences BAJORSKI · Statistics for Imaging, Optics, and Photonics BALAKRISHNAN and KOUTRAS · Runs and Scans with Applications BALAKRISHNAN and NG · Precedence-Type Tests and Applications BARNETT · Comparative Statistical Inference, Third Edition BARNETT · Environmental Statistics BARNETT and LEWIS · Outliers in Statistical Data, Third Edition BARTHOLOMEW, KNOTT, and MOUSTAKI · Latent Variable Models and Factor Analysis: A Unified Approach, Third Edition BARTOSZYNSKI and NIEWIADOMSKA-BUGAJ · Probability and Statistical Inference, Second Edition BASILEVSKY · Statistical Factor Analysis and Related Methods: Theory and Applications BATES and WATTS · Nonlinear Regression Analysis and Its Applications BECHHOFER, SANTNER, and GOLDSMAN · Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons BEIRLANT, GOEGEBEUR, SEGERS, TEUGELS, and DE WAAL · Statistics of Extremes: Theory and Applications † BELSLEY · Conditioning Diagnostics: Collinearity and Weak Data in Regression BELSLEY, KUH, and WELSCH · Regression Diagnostics: Identifying Influential Data and Sources of Collinearity BENDAT and PIERSOL · Random Data: Analysis and Measurement Procedures, Fourth Edition BERNARDO and SMITH · Bayesian Theory BHAT and MILLER · Elements of Applied Stochastic Processes, Third Edition BHATTACHARYA and WAYMIRE · Stochastic Processes with Applications BIEMER, GROVES, LYBERG, MATHIOWETZ, and SUDMAN · Measurement Errors in Surveys BILLINGSLEY · Convergence of Probability Measures, Second Edition BILLINGSLEY · Probability and Measure, Anniversary Edition BIRKES and DODGE · Alternative Methods of Regression BISGAARD and KULAHCI · Time Series Analysis and Forecasting by Example BISWAS, DATTA, FINE, and SEGAL · Statistical Advances in the Biomedical Sciences: Clinical Trials, Epidemiology, Survival Analysis, and Bioinformatics BLISCHKE and MURTHY (editors) · Case Studies in Reliability and Maintenance BLISCHKE and MURTHY · Reliability: Modeling, Prediction, and Optimization BLOOMFIELD · Fourier Analysis of Time Series: An Introduction, Second Edition BOLLEN · Structural Equations with Latent Variables BOLLEN and CURRAN · Latent Curve Models: A Structural Equation Perspective BOROVKOV · Ergodicity and Stability of Stochastic Processes BOSQ and BLANKE · Inference and Prediction in Large Dimensions BOULEAU · Numerical Methods for Stochastic Processes * BOX and TIAO · Bayesian Inference in Statistical Analysis BOX · Improving Almost Anything, Revised Edition * BOX and DRAPER · Evolutionary Operation: A Statistical Method for Process Improvement BOX and DRAPER · Response Surfaces, Mixtures, and Ridge Analyses, Second Edition BOX, HUNTER, and HUNTER · Statistics for Experimenters: Design, Innovation, and Discovery, Second Editon BOX, JENKINS, and REINSEL · Time Series Analysis: Forcasting and Control, Fourth Edition BOX, LUCEÑO, and PANIAGUA-QUIÑONES · Statistical Control by Monitoring and Adjustment, Second Edition * BROWN and HOLLANDER · Statistics: A Biomedical Introduction CAIROLI and DALANG · Sequential Stochastic Optimization CASTILLO, HADI, BALAKRISHNAN, and SARABIA · Extreme Value and Related Models with Applications in Engineering and Science CHAN · Time Series: Applications to Finance with R and S-Plus®, Second Edition CHARALAMBIDES · Combinatorial Methods in Discrete Distributions CHATTERJEE and HADI · Regression Analysis by Example, Fourth Edition CHATTERJEE and HADI · Sensitivity Analysis in Linear Regression CHERNICK · Bootstrap Methods: A Guide for Practitioners and Researchers, Second Edition CHERNICK and FRIIS · Introductory Biostatistics for the Health Sciences CHILÈS and DELFINER · Geostatistics: Modeling Spatial Uncertainty, Second Edition CHOW and LIU · Design and Analysis of Clinical Trials: Concepts and Methodologies, Second Edition CLARKE · Linear Models: The Theory and Application of Analysis of Variance CLARKE and DISNEY · Probability and Random Processes: A First Course with Applications, Second Edition * COCHRAN and COX · Experimental Designs, Second Edition COLLINS and LANZA · Latent Class and Latent Transition Analysis: With Applications in the Social, Behavioral, and Health Sciences CONGDON · Applied Bayesian Modelling CONGDON · Bayesian Models for Categorical Data CONGDON · Bayesian Statistical Modelling, Second Edition CONOVER · Practical Nonparametric Statistics, Third Edition COOK · Regression Graphics COOK and WEISBERG · An Introduction to Regression Graphics COOK and WEISBERG · Applied Regression Including Computing and Graphics CORNELL · A Primer on Experiments with Mixtures CORNELL · Experiments with Mixtures, Designs, Models, and the Analysis of Mixture Data, Third Edition COX · A Handbook of Introductory Statistical Methods CRESSIE · Statistics for Spatial Data, Revised Edition CRESSIE and WIKLE · Statistics for Spatio-Temporal Data CSÖRG and HORVÁTH · Limit Theorems in Change Point Analysis DAGPUNAR · Simulation and Monte Carlo: With Applications in Finance and MCMC DANIEL · Applications of Statistics to Industrial Experimentation DANIEL · Biostatistics: A Foundation for Analysis in the Health Sciences, Eighth Edition * DANIEL · Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition DASU and JOHNSON · Exploratory Data Mining and Data Cleaning DAVID and NAGARAJA · Order Statistics, Third Edition * DEGROOT, FIENBERG, and KADANE · Statistics and the Law DEL CASTILLO · Statistical Process Adjustment for Quality Control DEMARIS · Regression with Social Data: Modeling Continuous and Limited Response...