Matrices, Statistics and Big Data: Selected Contributions from IWMS 2016

Description

This volume features selected, refereed papers on various aspects of statistics, matrix theory and its applications to statistics, as well as related numerical linear algebra topics and numerical solution methods, which are relevant for problems arising in statistics and in big data. The contributions were originally presented at the 25th International Workshop on Matrices and Statistics (IWMS 2016), held in Funchal (Madeira), Portugal on June 6-9, 2016. The IWMS workshop series brings together statisticians, computer scientists, data scientists and mathematicians, helping them better understand each other’s tools, and fostering new collaborations at the interface of matrix theory and statistics. Front Matter ....Pages i-xii Further Properties of the Linear Sufficiency in the Partitioned Linear Model (Augustyn Markiewicz, Simo Puntanen)....Pages 1-22 Hybrid Model for Recurrent Event Data (Ivo Sousa-Ferreira, Ana Maria Abreu)....Pages 23-33 A New Look at Combining Information from Stratum Submodels (Radosław Kala)....Pages 35-49 Ingram Olkin (1924–2016): An Appreciation for a People Person (Simo Puntanen, George P. H. Styan)....Pages 51-60 A Notion of Positive Definiteness for Arithmetical Functions (Mika Mattila, Pentti Haukkanen)....Pages 61-74 Some Issues in Generalized Linear Modeling (Alan Agresti)....Pages 75-88 Orthogonal Block Structure and Uniformly Best Linear Unbiased Estimators (Sandra S. Ferreira, Dário Ferreira, Célia Nunes, Francisco Carvalho, João Tiago Mexia)....Pages 89-98 Hadamard Matrices on Error Detection and Correction: Useful Links to BIBD (Carla Francisco, Teresa A. Oliveira, Amílcar Oliveira, Francisco Carvalho)....Pages 99-110 Covariance Matrix Regularization for Banded Toeplitz Structure via Frobenius-Norm Discrepancy (Xiangzhao Cui, Zhenyang Li, Jine Zhao, Defei Zhang, Jianxin Pan)....Pages 111-125 Penalized Relative Error Estimation of a Partially Functional Linear Multiplicative Model (Tao Zhang, Yuan Huang, Qingzhao Zhang, Shuangge Ma, S. Ejaz Ahmed)....Pages 127-144 High-Dimensional Regression Under Correlated Design: An Extensive Simulation Study (S. Ejaz Ahmed, Hwanwoo Kim, Gökhan Yıldırım, Bahadır Yüzbaşı)....Pages 145-175 An Efficient Estimation Strategy in Autoregressive Conditional Poisson Model with Applications to Hospital Emergency Department Data (S. Ejaz Ahmed, Khalifa Es-Sebaiy, Abdulkadir Hussein, Idir Ouassou, Anne Snowdon)....Pages 177-190