About the Book
The book is a collection of different aspects of outliers and related topics written by experts. Topics covered include definition of outliers, their sources, consequences, identification, computational and robustness issues, handling of outliers in diversified areas of statistics such as univariate and multivariate data, linear and generalized linear models, time series, linear functional and structural models, circular data, spatial data, big data, high dimensional data, multi-view data. The book emphasizes the importance of outliers, and will appeal to workers in Data Mining; which is one of the fastest-growing business applications of statistics. The book makes outlier detection methods widely usable by practitioners. Examples are drawn from various fields.
Table of Contents:
A Brief History of Statistical Outliers. Some Recent Developments in the Identification of Outliers in Spatial Data and Spatial Regression. Identification of Multiple Unusual Observations in Generalized Linear Models. The Conditional Breakdown Properties of LAD-LASSO Regression. Statistical Methods for Identifying Outliers in Univariate and Multivariate Data. Statistical Modeling of Maximum Rainfall in Guinea. Statistical Outliers and a New Generalized Probability Distribution with Applications. Outlier detection based on Range Statistic: Empirical Evaluation and Comparisons. Exponentiated Reduced Modified Weibull Distribution. Robust Weighted Random Forest Regression with Alternative Bootstrap. Robust Remedies for Multiple Regression Model in the Presence of High Leverage Collinearity-Influential Observations. Mixture Modeling of Car Insurance Claim in Zimbabwe. Examining Research in Statistics and Computer Science Literatures: The Need to Cross the Borders and to Adapt and Modernize the Statistics Discipline. On a Unit-EEG Quantile Regression Analysis. The cos-modified Lindley distribution: Properties, Estimation and Applications. The two-sided generalized Lomax distribution: estimation and application. Monitoring the Blood Levels of Animals using Control Charts. On Classical and Bayesian Inference for Bivariate Binomial Conditionals Distributions: Properties and Applications. Applications of the cos-modified Lindley distribution on Climate Data. Classification of Rainfall Regions in the U.K. Using Spatial Distances. Identification of High Leverage Points in High Dimensional Sparse and Non-Sparse Data. Design of Control Chart using Gini-Process Capability Index and Resampling. Robust Measures of Goodness-of-Fit and Outlier Detection in Linear Regression Models.
About the Author :
Dr. Mir Masoom Ali is George and Frances Ball Distinguished Professor Emeritus of Statistics at Ball State University in USA. He obtained his B.Sc. (Honors) and M.Sc. degrees both in Statistics from the University of Dhaka and his second M.Sc. and Ph.D. degrees both in Mathematical Statistics from the University of Toronto, Canada. After working for the erstwhile Government of Pakistan and Ball State University as a practicing and teaching statistician for 50 years he retired in 2007. He founded the Statistics degree programs at Ball State University in 1971. Dr. Ali has published widely and extensively in leading statistical journals on h-statistics, l-statistics, k-statistics and related finite sampling methods, order statistics and statistical inference based on optimal spacing and goodness-of-fit procedures and also published in diverse areas such as multivariate statistics, characterization problems, mixtures of distributions, ranking and selection, survival analysis, estimation of tail probabilities, parametric estimation, Bayesian inference, skew-symmetric distributions and generalized distributions. He was keynote, plenary and invited speaker at many national and international conferences. Professor Ali has been a visiting professor/scholar at several universities and Statistical Institutes in USA, Canada, Bangladesh, India, South Korea, Saudi Arabia and Japan. He has received many awards, including the first Qazi Motahar Husain Gold Medal of the Bangladesh Statistical Association and another from the Islamic Society of Statistical Sciences, the Outstanding Researcher Award and the Outstanding Faculty Award from the Ball State University and five Meritorious Service awards from the Midwest Biopharmaceutical Statistics Workshop. He is the recipient of the Sagamore of the Wabash which is the highest award of the State of Indiana, USA. He is a Fellow of the American Statistical Association, USA; Royal Statistical Society, UK; the Institute of Statisticians, UK; Expatriate Fellow of the Bangladesh Academy of Sciences; Distinguished Fellow, Dhaka University Statistics Department Alumni Association and an Elected Member of the International Statistical Institute. Dr. Ali has served as editor, associate editor and editorial board member of several international statistical journals. Five Special Volumes of Statistical Journals and a Festscrieft have been published in his honor over the years. Dr. Ali co-authored the book Testing and Inspection Using Acceptance Sampling Plans published by Springer in 2019. His co-authored edited book G Families of Probability Distributions: Theory and Practices will be published by CRC Press toward the end of 2022.
Dr. Rahmatullah Imon is a Professor of Statistics at the Department of Mathematical Sciences, Ball State University. He obtained his B.Sc. (Honors) and M.Sc. in Statistics from the University of Rajshahi and his Ph.D. in Mathematics and Statistics from the University of Birmingham, U.K. Dr. Imon began his academic career as a Lecturer at the Department of Statistics, University of Rajshahi on July 1, 1992 and worked there prior to joining the Department of Mathematical Sciences at Ball State University, USA in 2008. He has been serving this department as a Full Professor since 2012. Dr. Imon’s area of specialization is Regression Diagnostics, Robust Regression and Outlier Detection, Multivariate Analysis, Sample Reuse Methods, Time Series Analysis, Statistical Computing and Graphics, and Environmental Statistics. Dr. Imon has published several books, and a good number of research articles and book chapters in refereed journals and proceedings of international conferences so far. He was a keynote, plenary and invited speaker at many national and international conferences. He has supervised a good number of research students in various capacities. Dr. Imon served as a distinguished visiting professor at the American University in Cairo in 2015. In addition to this he worked at University Putra Malaysia, University of Malaya, University Sains Malaysia, and Indian Statistical Institute Calcutta as visiting professor/scientist. Dr. Imon is a member of several statistical organizations including the International Statistical Institute as an elected member.
Irfan Ali received B.Sc., M.Sc., M.Phil., and Ph.D. degrees from Aligarh Muslim University. He is currently working as an Assistant Professor with the Department of Statistics and Operations Research, Aligarh Muslim University. He received the Post Graduate Merit Scholarship Award during his M.Sc. (statistics) and the UGC-BSR Scholarship awarded during his Ph.D. (statistics) programs. His research interests include applied statistics, mathematical programming, Fuzzy optimization and multi-objective optimization. He has supervised M.Sc., projects, M.Phil., dissertations and Ph.D. thesis under his supervision in operations research and applied statistics topics. He has completed a research project UGC–Start-Up Grant Project, UGC, New Delhi, India. He has published more than 100+ research articles in reputed journals and serves as a Reviewer for several journals. He has published several edited books for Springer and Taylor’s Francis, CRC press. He is a Lifetime Member of various professional societies: Operational Research Society of India, Indian Society for Probability and Statistics, Indian Mathematical Society, and The Indian Science Congress Association. He delivered invited talks at several universities and Institutions. He also serves as an Associate Editor for some journals.
Dr. Haitham M. Yousof is an Assistant professor of Statistics. Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13518, Egypt. M.Sc. Applied Statistics, 2011, Benha University, Egypt. Ph.D. Applied Statistics, 2015, Benha University. Total Publications: 144. Cumulative Impact Factor (2021) [JCR-2021] = 26.68. Total citations: 2422 (Google Scholar). h-index: 29 (Google Scholar). h-index: 17 (Scopus). i10-index: 63 (Google Scholar). Research interest: Probability Theory; Continuous Distributions; Discrete Distributions; Continuous G Families of Distributions; Discrete G Families of Distributions; Generalized Class of Distributions; Bivariate G Families of Distributions; Bayesian Analysis; Semi-parametric Regression; Parametric Regression; Nonparametric Regression and new goodness-of-fit tests.
