Skip to main content Site map

Modern Introduction to Probability and Statistics, A: Understanding Why and How Softcover reprint of hardcover 1st ed. 2005


Modern Introduction to Probability and Statistics, A: Understanding Why and How Softcover reprint of hardcover 1st ed. 2005

Paperback by Dekking, F.M.; Kraaikamp, C.; Lopuhaä, H.P.; Meester, L.E.

Modern Introduction to Probability and Statistics, A: Understanding Why and How

WAS £32.99   SAVE £4.95

£28.04

ISBN:
9781849969529
Publication Date:
19 Oct 2010
Edition/language:
Softcover reprint of hardcover 1st ed. 2005 / English
Publisher:
Springer London Ltd
Pages:
488 pages
Format:
Paperback
For delivery:
Estimated despatch 22 - 23 May 2024
Modern Introduction to Probability and Statistics, A: Understanding Why and How

Description

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.

Contents

Why probability and statistics?.- Outcomes, events, and probability.- Conditional probability and independence.- Discrete random variables.- Continuous random variables.- Simulation.- Expectation and variance.- Computations with random variables.- Joint distributions and independence.- Covariance and correlation.- More computations with more random variables.- The Poisson process.- The law of large numbers.- The central limit theorem.- Exploratory data analysis: graphical summaries.- Exploratory data analysis: numerical summaries.- Basic statistical models.- The bootstrap.- Unbiased estimators.- Efficiency and mean squared error.- Maximum likelihood.- The method of least squares.- Confidence intervals for the mean.- More on confidence intervals.- Testing hypotheses: essentials.- Testing hypotheses: elaboration.- The t-test.- Comparing two samples.

Back

Teesside University logo