Statistics

A Concise Mathematical Introduction for Students, Scientists, and Engineers

David W. Scott

• Publisher: Wiley
• Year: 2020
• Print ISBN: 9781119675846
• eBook ISBN: 9781119675853
• Edition: 1
• Topic: Mathematics
• Subtopic: Probability & Statistics
• Index: Mathematics

Statistic: A Concise Mathematical Introduction for Students and Scientists offers a one academic term text that prepares the student to broaden their skills in statistics, probability and inference, prior to selecting their follow-on courses in their chosen fields, whether it be engineering, computer science, programming, data sciences, business or economics. 

The book places focus early on continuous measurements, as well as discrete random variables. By invoking simple and intuitive models and geometric probability, discrete and continuous experiments and probabilities are discussed throughout the book in a natural way. Classical probability, random variables, and inference are discussed, as well as material on understanding data and topics of special interest.

Topics discussed include:

•      Classical equally likely outcomes

•      Variety of models of discrete and continuous probability laws

•      Likelihood function and ratio

•      Inference

•      Bayesian statistics

With the growth in the volume of data generated in many disciplines that is enabling the growth in data science, companies now demand statistically literate scientists and this textbook is the answer, suited for undergraduates studying science or engineering, be it computer science, economics, life sciences, environmental, business, amongst many others. Basic knowledge of bivariate calculus, R language, Matematica and JMP is useful, however there is an accompanying website including sample R and Mathematica code to help instructors and students.

Table of contents

• Cover
• Table of Contents
• Preface
• 1 Data Analysis and Understanding
• 2 Classical Probability
• 3 Random Variables and Models Derived From Classical Probability and Postulates
• 4 Bivariate Random Variables, Transformations, and Simulations
• 5 Approximations and Asymptotics
• 6 Parameter Estimation
• 7 Hypothesis Testing
• 8 Confidence Intervals and Other Hypothesis Tests
• 9 Topics in Statistics
• Appendices
• Bibliography
• Index
• End User License Agreement