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Written for students with basic experience in college algebra and
applied calculus, Fundamentals of Statistical Thinking: Tools and
Applications familiarizes readers with fundamental concepts in
statistical thinking in order to prepare them for specialized
management courses such as econometrics and quantitative analysis.
The book is organized into four sections, each of which focuses on
a common tool used in application. Chapters 1 through 4 discuss
data analysis and summaries, with an emphasis on descriptive
statistics and visualization. In Chapters 5 through 8 students
learn about probability models and sampling distributions. Chapters
9 and 10 deal with statistical inferences, while Chapters 11 and 12
provide further applications for categorical data and simple linear
regression models. Graphical illustrations support the written text
and each chapter concludes with a visual summary. Rooted in over
ten years of classroom experience at both the undergraduate and
graduate levels, Fundamentals of Statistical Thinking helps readers
understand the importance of the main technical tools of
statistical decision making, and explains when they can most
appropriately be used for applied studies.
Probability and Statistics for Actuaries provides students with a
structured and detailed explanation of the probabilistic and
statistical aspects of actuarial science to help them formalize and
deepen their knowledge in these areas. The text is divided into two
distinct parts with the first focusing on probability and the
second focusing on statistics. Part I begins with a strategic
review of probabilistic models and techniques. Additional chapters
cover conditional probability, variance, and expectation with
distinct emphasis of the Bayesian approach. Students learn about
the Bayesian framework for credibility and the relationship between
Buhlmann approximation and empirical Bayes. Part II begins with a
review of statistical models and techniques and then proceeds with
a robust chapter that discusses parametric statistical inference.
The text includes two helpful appendices: a one-sample K-S table
and a one-sample A-D table. Designed to help students expand their
knowledge, Probability and Statistics for Actuaries is an
exceptional resource for courses within the actuarial sciences. It
is also ideal for individuals preparing to take professional exams
given by the Society of Actuaries and Casualty Actuarial Society.
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