Reviews
"The extensive use of illustrative examples throughout the
text will enhance the learning experience of students",
Robert Morelos, San Jose State University
"It is an excellent book for students, teachers and
practitioners interested in the analytical and computational
procedures related to random variables and stochastic processes."
Rajarathnam Chandramouli, Stevens Institute of Technology
"This is a good, solid introduction to probability theory
and stochastic processes. Some advanced topics are introduced a
bit earlier in the development than in other books ? a good point",
Tom Robertazzi, Stony Brook University
Contents
Preface
Acknowledgments
Chapter 1 Basic Probability Concepts
Chapter 2 Random Variables
Chapter 3 Moments of Random Variables
Chapter 4 Special Probability Distributions
Chapter 5 Multiple Random Variables
Chapter 6 Functions of Random Variables
Chapter 7 Transform Methods
Chapter 8 Introduction to Random Processes
Chapter 9 Linear Systems with Random Inputs
Chapter 10 Some Models of Random Processes
Chapter 11 Introduction to Statistics
Appendix 1: Table for the CDF of the Standard Normal Random
Variable
E Comprehensive coverage of descriptive statistics
E More detailed treatment of univariate and bivariate
probability distributions
E Thorough coverage of probability theory with numerous event
classifications
Reviews
"I like the fact that this text contains information about
descriptive statistics and sampling techniques...I also thought
the discussion of limit laws was well-written. This text is a
nice blend of applications and theory without focusing on proofs."
-Laura McSweeney, Fairfield University
"The main strength of the book is the great length that this
author is willing to go in explaining concepts...This text covers
quite a breadth of topics. With this text, it would be easy to
use some of the sections that I would not cover in class."
-Christopher Mecklin, Murray State University
"The topics are comprehensive, there are thorough
explanations, a good number of worked out examples, and clearly
written proofs...including proofs that are not usually seen at
this level. The contents are appealing."
-Pierre Grillet, Tulane University
The highly readable text captures the flavor of a course in
mathematical statistics without imposing too much rigor; students
can concentrate on the statistical strategies without getting
lost in the theory.
Students who use this book will be well on their way to thinking
like a statistician. Practicing statisticians will find this book
useful in that it is replete with statistical test procedures (both
parametric and non-parametric) as well as numerous detailed
examples.
Contents
1 Introduction
2 Elementary Descriptive Statistical Techniques
3 Probability Theory
4 Random Variables and Probability Distributions
5 Bivariate Probability Distributions
6 Discrete Parametric Probability Distributions
7 Continuous Parametric Probability Distributions
8 Sampling and the Sampling Distribution of a Statistic
9 The Chi-Square, Studentfs t, and Snedecorfs F Distributions
10 Point Estimation and Properties of Point Estimators
11 Interval Estimation and Confidence Interval Estimates
12 Tests of Parametric Statistical Hypotheses
13 Nonparametric Statistical Techniques
14 Testing Goodness of Fit
15 Testing Goodness of Fit: Contingency Tables
16 Bivariate Linear Regression and Correlation
Appendix A
Successive Difference to the Variance
Solutions to Selected Exercises
References and Suggested Reading
Index
ISBN: 0-321-32136-7
Publisher: Addison-Wesley
Copyright: 2006
Format: Cloth; 769 pp
Description
Introduction to Data Mining presents fundamental concepts and
algorithms for those learning data mining for the first time.
Each concept is explored thoroughly and supported with numerous
examples. The text requires only a modest background in
mathematics.
Each major topic is organized into two chapters, beginning with
basic concepts that provide necessary background for
understanding each data mining technique, followed by more
advanced concepts and algorithms.
Table of Contents
Series: Trends in Mathematics
2005, VIII, 374 p., Hardcover
ISBN: 3-7643-7368-7
A Birkhauser book
About this book
This book presents the state of the art in tackling differential
equations using advanced methods and software tools of symbolic
computation. It focuses on the symbolic-computational aspects of
three kinds of fundamental problems in differential equations:
transforming the equations, solving the equations, and studying
the structure and properties of their solutions. The 20 chapters
are written by leading experts and are structured into three
parts.
The book is worth reading for researchers and students working on
this interdisciplinary subject but may also serve as a valuable
reference for everyone interested in differential equations,
symbolic computation, and their interaction.
Table of contents
Preface.- 20 contributions by experts in the field.- Index.
Series: Progress in Mathematics, Vol. 248
2005, Approx. 405 p., Hardcover
ISBN: 3-7643-7446-2
About this book
This book offers a panorama of current research in the theory of
infinite discrete groups. It contains survey papers contributed
by leading specialists in group theory and other areas of
mathematics. Topics addressed in the book include amenable
groups, Kahler groups, automorphism groups of rooted trees,
rigidity, C^*-algebras, random walks on groups, pro-p groups,
burnside groups, parafree groups, Fuchsian groups, among others.
The articles are contributed by invited plenary speakers at the
International Conference on Group Theory in Gaeta, Italy, June
2003.
Table of contents
Preface.- Contributions by G. Baumslag, A. Borovik/A. Lubotzky/A.
Myasnikov, T. Delzant/M. Gromov, W. Dicks/E. Formanek, R.
Grigorchuk, P. de la Harpe/C. Pache, W. Luck, G. Pisier, A.
Shalev, S. Sidki, E. Zelmanov.
Series: Progress in Nonlinear Differential Equations and Their
Applications, Vol. 66
2005, Approx. 565 p., Hardcover
ISBN: 3-7643-7149-8
About this book
This volume contains research and survey articles in the fields
of nonlinear analysis and nonlinear differential equations,
written by internationally accomplished researchers. The articles
reflect the state of the art in these important fields of current
research. The volume is dedicated to D.G. de Figueiredo, thereby
honoring the important contributions and lasting influence of a
distinguished mathematician.
Table of contents
Preface.- 34 contributions by leading scientists in the field of
nonlinear partial differential equations.
Series: Progress in Mathematics, Vol. 247
2006, Approx. 695 p., Hardcover
ISBN: 3-7643-7448-9
About this book
The algebra of primary cohomology operations computed by the well-known
Steenrod algebra is one of the most powerful tools of algebraic
topology. This book computes the algebra of secondary cohomology
operations which enriches the structure of the Steenrod algebra
in a new and unexpected way.
The book solves a long-standing problem on the algebra of
secondary cohomology operations by developing a new algebraic
theory of such operations. The results have strong impact on the
Adams spectral sequence and hence on the computation of homotopy
groups of spheres.
Table of contents
Preface.- Introduction.- Part I: Secondary Cohomology and Track
Calculus: Primary Cohomology Operations - Track Theories and
Secondary Cohomology Operations - Calculus of Tracks - Stable
Linearity Tracks - The Algebra of Secondary Cohomology Operations.-
Part II: Products and Power Maps in Secondary Cohomology: The
Algebra Structure of Secondary Cohomology - The Borel
Construction and Comparison Maps - Power Maps and Power Tracks -
Secondary Relations for Power Maps - Kunneth Tracks and Kunneth-Steenrod
Operations - The Algebra of Delta-Tracks - Secondary Hopf-Algebras
- The Action of B on Secondary Cohomology - Interchange and the
Left Action - The Uniqueness of the Secondary Hopf Algebra -
Computation of the Secondary Hopf Algebra.- Tables.- Bibliography.-
Index.