A Modern Introduction to Probability and Statistics

Understanding Why and How

F. M. Dekking, Cor Kraaikamp, H. P. Lopuhaä, L. E. Meester - Collection Springer texts in statistics

486 pages, parution le 31/01/2005

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Résumé

Probability and Statistics are studied by most science students. 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.

Sommaire

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
A: Summary of distributions
B: Tables of the normal and t-distributions
C: Answers to selected exercices
D: Full solutions to selected exercices
References
List of Symbols
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	F. M. Dekking, Cor Kraaikamp, H. P. Lopuhaä, L. E. Meester
Collection	Springer texts in statistics
Parution	31/01/2005
Nb. de pages	486
Format	16 x 24
Couverture	Relié
Poids	825g
Intérieur	Noir et Blanc
EAN13	9781852338961
ISBN13	978-1-85233-896-1