Computational and Methodological Statistics and Biostatistics: Contemporary Essays in Advancement (Emerging Topics in Statistics and Biostatistics)

In the statistical domain, certain topics have received considerable attention during the last decade or so, necessitated by the growth and evolution of data and theoretical challenges. This growth has invariably been accompanied by computational advancement, which has presented end users as well as researchers with the necessary opportunities to handle data and implement modelling solutions for statistical purposes. Showcasing the interplay among a variety of disciplines, this book offers pioneering theoretical and applied solutions to practice-oriented problems. As a carefully curated collection of prominent international thought leaders, it fosters collaboration between statisticians and biostatisticians and provides an array of thought processes and tools to its readers. The book thereby creates an understanding and appreciation of recent developments as well as an implementation of these contributions within the broader framework of both academia and industry. Computational and Methodological Statistics and Biostatistics is composed of three main themes: • Recent developments in theory and applications of statistical distributions; • Recent developments in supervised and unsupervised modelling; • Recent developments in biostatistics; and also features programming code and accompanying algorithms to enable readers to replicate and implement methodologies. Therefore, this monograph provides a concise point of reference for a variety of current trends and topics within the statistical domain. With interdisciplinary appeal, it will be useful to researchers, graduate students, and practitioners in statistics, biostatistics, clinical methodology, geology, data science, and actuarial science, amongst others. Front Matter ....Pages i-xxiv Front Matter ....Pages 1-1 Some Computational Aspects of Maximum Likelihood Estimation of the Skew-t Distribution (Adelchi Azzalini, Mahdi Salehi)....Pages 3-28 Modelling Earthquakes: Characterizing Magnitudes and Inter-Arrival Times (Christophe Ley, Rosaria Simone)....Pages 29-50 Multivariate Order Statistics Induced by Ordering Linear Combinations of Components of Multivariate Elliptical Random Vectors (Ahad Jamalizadeh, Roohollah Roozegar, Narayanaswamy Balakrishnan, Mehrdad Naderi)....Pages 51-71 Variable Selection in Heteroscedastic Regression Models Under General Skew-t Distributional Models Using Information Complexity (Yeşim Güney, Olcay Arslan, Hamparsum Bozdogan)....Pages 73-98 Weighted Condition Number Distributions Emanating from Complex Noncentral Wishart Type Matrices (Johannes T. Ferreira, Andriëtte Bekker)....Pages 99-119 Weighted Type II Bivariate Pólya-Aeppli Distributions (Claire Geldenhuys, René Ehlers)....Pages 121-157 Constructing Multivariate Distributions via the Dirichlet Generator (Mohammad Arashi, Andriëtte Bekker, Daniel de Waal, Seite Makgai)....Pages 159-186 Evaluating Risk Measures Using the Normal Mean-Variance Birnbaum-Saunders Distribution (Mehrdad Naderi, Ahad Jamalizadeh, Wan-Lun Wang, Tsung-I Lin)....Pages 187-209 On the Distribution of Linear Combinations of Chi-Square Random Variables (Carlos A. Coelho)....Pages 211-252 Front Matter ....Pages 253-253 Conjugate Bayesian Regression Models for Massive Geostatistical Data Sets (Sudipto Banerjee)....Pages 255-267 Using Improved Robust Estimators to Semiparametric Model with High Dimensional Data (Mahdi Roozbeh, Nor Aishah Hamzah, Nur Anisah Mohamed)....Pages 269-290 Optimal Allocation for Extreme Value Regression Under Time Censoring (Ping Shing Chan, Hon Yiu So, Hon Keung Tony Ng, Wei Gao)....Pages 291-307 Spatial Interpolation of Extreme PM1 Values Using Copulas (Alfred Stein, Fakhereh Alidoost, Vera van Zoest)....Pages 309-328 A Scale Mixture Approach to t-Distributed Mixture Regression (Frans Kanfer, Sollie Millard)....Pages 329-347 On Improving the Performance of Logistic Regression Analysis Via Extreme Ranking (Hani M. Samawi)....Pages 349-365 Applications of Spatial Statistics in Poverty Alleviation in China (Yong Ge, Shan Hu, Mengxiao Liu)....Pages 367-392 Front Matter ....Pages 393-393 Novel Bayesian Adaptive Designs and Their Applications in Cancer Clinical Trials (Ruitao Lin, J. Jack Lee)....Pages 395-426 Topological Data Analysis of Clostridioides difficile Infection and Fecal Microbiota Transplantation (Pavel Petrov, Stephen T. Rush, Shaun Pinder, Christine H. Lee, Peter T. Kim, Giseon Heo)....Pages 427-446 Simultaneous Variable Selection and Estimation in Generalized Semiparametric Mixed Effects Modeling of Longitudinal Data (Mozghan Taavoni, Mohammad Arashi)....Pages 447-474 Variable Selection of Interval-Censored Failure Time Data (Qiwei Wu, Hui Zhao, Jianguo Sun)....Pages 475-487 Flexible Modeling of Frailty Effects in Clustered Survival Data (Samuel Manda)....Pages 489-509 Partitioned GMM Marginal Model for Time Dependent Covariates: Applications to Survey Data (Elsa Vazquez Arreola, Jeffrey R. Wilson)....Pages 511-528 A Family of Generalized Rayleigh-Exponential-Weibull Distribution and Its Application to Modeling the Progressively Type-I Interval Censored Data ((Din) Ding-Geng Chen, Yuhlong Lio)....Pages 529-543