PDF A Modern Introduction to Probability and Statistics - Understanding Why and How - Springer

485 pages

Overview
Authors:

• Frederik Michel Dekking ,
• Cornelis Kraaikamp ,
• Hendrik Paul Lopuhaä ,
• Ludolf Erwin Meester

• Developed from tried and tested course material, this book provides a self-contained course that is also suitable for self-study
• Uses real examples and real data sets that will be familiar to students
• Features quick exercises to give direct feedback to the student, and over 350 exercises
• Includes an introduction to the bootstrap, a modern method that is often missing in other books
• Includes full solutions to half the exercises given in the book; solutions to the rest are provided on an accompanying website

About this book
Many current texts in the area are just cookbooks and, as a result, students do not know why they perform the methods they are taught, or why the methods work. The strength of this book is that it readdresses these shortcomings; by using examples, often from real life and using real data, the authors show how the fundamentals of probabilistic and statistical theories arise intuitively.

A Modern Introduction to Probability and Statistics has numerous quick exercises to give direct feedback to students. In addition there are over 350 exercises, half of which have answers, of which half have full solutions. A website gives access to the data files used in the text, and, for instructors, the remaining solutions. The only pre-requisite is a first course in calculus; the text covers standard statistics and probability material, and develops beyond traditional parametric models to the Poisson process, and on to modern methods such as the bootstrap.