Concise and highly focused, this volume offers everything high school and beginning college students need to know to handle problems in probability and statistics. Numerous rigorously tested examples and coherent, to-the-point explanations are presented in an easy-to-follow format. The treatment is organized in a way that permits readers to advance sequentially or skip around between chapters. An essential companion volume to the author's Attacking Trigonometry Problems and Attacking Problems in Logarithms and Exponential Functions, this book will equip students with the skills they will need to successfully approach the problems in probability and statistics that they will encounter on exams.

Concise review of what high school and beginning college students need to know to solve problems in logarithms and exponential functions. Presents rigorously tested examples and coherent explanations in an easy-to-follow format. 2015 edition.

Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

This is a textbook for an undergraduate course in probability and statistics. The approximate prerequisites are two or three semesters of calculus and some linear algebra. Students attending the class include mathematics, engineering, and computer science majors.

Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.

Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.

Statistical data analysis is the backbone of sound business decision making, and finding the right tool to analyse a particular business problem is the key. By learning the fundamentals of statistical reasoning and data analysis, you will be on the way to becoming a better manager, analyst or economist.By providing a framework for solving statistical problems, this seventh Australian and New Zealand edition of Business Statistics teaches skills that you can use throughout your career. The book shows you how to analyse data effectively by focusing on the relationship between the kind of problem you face, the type of data involved and the appropriate statistical technique for solving the problem.Business Statistics emphasises applications over theory. It illustrates how vital statistical methods and tools are for today's managers and analysts, and how to apply them to business problems using real-world data. Using a proven three-step Identify-Compute-Interpret (ICI) approach to problem solving, the text teaches you how to: 1. IDENTIFY the correct statistical technique by focusing on the problem objective and data type; 2. COMPUTE the statistics doing them by hand and using Excel; and 3. INTERPRET results in the context of the problem. This unique approach enhances comprehension and practical skills. The text's vast assortment of data-driven examples, exercises and cases covers the various functional areas of business, demonstrating the statistical applications that marketing managers, financial analysts, accountants, economists and others use. Learning resources such as CourseMate maximise study time to help you achieve the results you want. Completely up-to-date, the seventh edition offers comprehensive coverage, current examples and an increased focus on applications in the real world.

Statistical data analysis is the backbone of sound business decision making, and finding the right tool to analyse a particular business problem is the key. By learning the fundamentals of statistical reasoning and data analysis, you will be on the way to becoming a better manager, analyst or economist. By providing a framework for solving statistical problems, this seventh Australian and New Zealand edition of Business Statistics teaches skills that you can use throughout your career. The book shows you how to analyse data effectively by focusing on the relationship between the kind of problem you face, the type of data involved and the appropriate statistical technique for solving the problem. Business Statistics emphasises applications over theory. It illustrates how vital statistical methods and tools are for today's managers and analysts, and how to apply them to business problems using real-world data. Using a proven three-step Identify-Compute-Interpret (ICI) approach to problem solving, the text teaches you how to: 1. IDENTIFY the correct statistical technique by focusing on the problem objective and data type; 2. COMPUTE the statistics doing them by hand and using Excel; and 3. INTERPRET results in the context of the problem. This unique approach enhances comprehension and practical skills. The text's vast assortment of data-driven examples, exercises and cases covers the various functional areas of business, demonstrating the statistical applications that marketing managers, financial analysts, accountants, economists and others use. Completely up-to-date, the seventh edition offers comprehensive coverage, current examples and an increased focus on applications in the real world.

This vital work for researchers and graduate students focuses on resilience estimation and control of cyber-physical networked systems using attacker-defender game theory. It presents attack and defense strategies and describes the design and resilience of control systems to withstand cyberattacks. Complex control systems, including cyber-physical and cloud control systems, are in open network environments and are often confronted with threats from cyberspace, physical space and even cloud service. With diversified and intelligent attack patterns and improvements in attack capabilities, non-contact damage can be widespread. In this book, the authors use a formal, mathematical approach to introduce their recent research findings to describe and design attack and defense strategies using game theoretic method. The book is divided into three sections, focusing on strategies for resilience against deception attacks and DoS attacks, and protecting cloud control systems against threats. In these sections, the authors address topics such as secure and distributed filtering, attack detection and disturbance rejection, resilient state estimation, and resilient control, and techniques such as Stackelberg games, hierarchical games, and active eavesdropping. Through this book readers will be able to design effective defense strategies for complex control system to achieve resilience for closed-control cyber physical systems, network and cloud systems. This book is a vital resource for graduate students and academic researchers who are familiar with the concepts related to cyberattack and defense and who have a related research background. To maximize their benefit from this book, readers are recommended to have a strong mathematical foundation as the book takes a mathematical approach to the concepts and strategies described within.

In simple, non-technical language, this volume explores the fundamentals governing chance and applies them to sports, government, and business. Topics includenbsp;the theory of probability in relation to superstitions, betting odds, warfare,nbsp;social problems, stocks, and other areas. "Clear and lively ...nbsp;remarkably accurate." —Scientific Monthly.