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Theory of Ridge Regression Estimation with Applications
A guide to the systematic analytical results for ridge, LASSO, preliminary test, and Stein-type estimators with applications Theory of Ridge Regression Estimation with Applications offers a comprehensive guide to the theory and methods of estimation. Ridge regression and LASSO are at the center of all penalty estimators in a range of standard models that are used in many applied statistical analyses. Written by noted experts in the field, the book contains a thorough introduction to penalty and shrinkage estimation and explores the role that ridge, LASSO, and logistic regression play in the computer intensive area of neural network and big data analysis. Designed to be accessible, the book p...
Normal and Student ́s t Distributions and Their Applications
The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.
Community Series in Mental Illness, Culture, and Society: Dealing with the COVID-19 Pandemic, volume VIII
The COVID-19 outbreak has impacted many areas of our lives, including mental health. Lockdown and physical distancing measures have been one major effective intervention to counter the spread of the virus and reduce the impact of the disease. However, they have negatively impacted mental well-being and behaviors, either triggering the onset of new psychiatric symptoms and diseases or amplifying pre-existing ones. The pandemic and lockdown measures have also been associated with reduced access to treatment and facilities all over the world, further worsening mental health outcomes. The impact on mental health, although universal, varied between nations. Cultural and societal variables, including norms, values, religion, and stigma have played an important role in shaping COVID-19-related mental health symptoms, including anxiety, depression, grief, psychosis, and addiction. These sociocultural factors have also molded how mental health interventions are tailored and provided. Highlighting the intertwining relationship between the pandemic, mental health, and sociocultural factors are essential to managing emerging mental health symptoms adequately.
Mathematical Analysis and Numerical Methods
Zusammenfassung: This book presents a thoughtful compilation of chapters derived from the proceedings of the 8th International Arab Conference on Mathematics and Computations (IACMC 2023), held at Zarqa University in Zarqa, Jordan, from 10-12 May 2023. Encompassing a broad spectrum of themes crucial to contemporary research and development, the book delved into subjects ranging from partial and differential equations to fractional calculus, from probability and statistics to graph theory, and from approximation theory to nonlinear dynamics. Moreover, it explores pivotal areas such as numerical analysis and methods, as well as fostering interdisciplinary mathematical research initiatives. Bui...
Extreme Value Distributions
The aim of the book is to give a through account of the basic theory of extreme value distributions. The book cover a wide range of materials available to date. The central ideas and results of extreme value distributions are presented. The book rwill be useful o applied statisticians as well statisticians interrested to work in the area of extremen value distributions.vmonograph presents the central ideas and results of extreme value distributions.The monograph gives self-contained of theory and applications of extreme value distributions.
Artificial Intelligence for COVID-19
This book presents a compilation of the most recent implementation of artificial intelligence methods for solving different problems generated by the COVID-19. The problems addressed came from different fields and not only from medicine. The information contained in the book explores different areas of machine and deep learning, advanced image processing, computational intelligence, IoT, robotics and automation, optimization, mathematical modeling, neural networks, information technology, big data, data processing, data mining, and likewise. Moreover, the chapters include the theory and methodologies used to provide an overview of applying these tools to the useful contribution to help to face the emerging disaster. The book is primarily intended for researchers, decision makers, practitioners, and readers interested in these subject matters. The book is useful also as rich case studies and project proposals for postgraduate courses in those specializations.
Mathematics and Computation
This book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.
Statistical Modelling and Risk Analysis
This volume covers the latest results on novel methods in Risk Analysis and assessment, with applications in Biostatistics (which is providing food for thought since the first ICRAs, covering traditional areas of RA, until now), Engineering Reliability, the Environmental Sciences and Economics. The contributions, based on lectures given at the 9th International Conference on Risk Analysis (ICRA 9), at Perugia, Italy, May 2022, detail a wide variety of daily risks, building on ideas presented at previous ICRA conferences. Working within a strong theoretical framework, supporting applications, the material describes a modern extension of the traditional research of the 1980s. This book is intended for graduate students in Mathematics, Statistics, Biology, Toxicology, Medicine, Management, and Economics, as well as quantitative researchers in Risk Analysis.
Understanding Predictive Models Using R Software
Analysing data and using it to predict future events has become an extremely important aspect in this era when data is so rapidly generated everywhere. For this purpose, many traditional and data driven predictive models are available in statistical literature. For a new researcher or data analyst, the choice of a regression model for a particular situation is very difficult as there are plenty of predictive models available for data analysis for different situations. This book will help the researcher understand the different predictive models. It gives a glimpse of many traditional as well as data driven models available for different situations. It also describes those models from a statistical point of view with illustrations using R software for better understanding. It also provides the comparison between the models to have a clear idea about the different assumptions on which the models are based, and the solution if any assumption is violated. The book also mentions the different situations that researchers have to tackle while fitting models like dealing with outliers, overfitting, and heterogeneity in the data.
Continuous Distributions in Engineering and the Applied Sciences -- Part I
This is an introductory book on continuous statistical distributions and its applications. It is primarily written for graduate students in engineering, undergraduate students in statistics, econometrics, and researchers in various fields. The purpose is to give a self-contained introduction to most commonly used classical continuous distributions in two parts. Important applications of each distribution in various applied fields are explored at the end of each chapter. A brief overview of the chapters is as follows. Chapter 1 discusses important concepts on continuous distributions like location-and-scale distributions, truncated, size-biased, and transmuted distributions. A theorem on find...
