Probability and Statistics for Computer Scientists
Taylor & Francis Inc (Verlag)
978-1-4398-7590-2 (ISBN)
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Incorporating feedback from instructors and researchers who used the previous edition, Probability and Statistics for Computer Scientists, Second Edition helps students understand general methods of stochastic modeling, simulation, and data analysis; make optimal decisions under uncertainty; model and evaluate computer systems and networks; and prepare for advanced probability-based courses. Written in a lively style with simple language, this classroom-tested book can now be used in both one- and two-semester courses.
New to the Second Edition
Axiomatic introduction of probability
Expanded coverage of statistical inference, including standard errors of estimates and their estimation, inference about variances, chi-square tests for independence and goodness of fit, nonparametric statistics, and bootstrap
More exercises at the end of each chapter
Additional MATLAB® codes, particularly new commands of the Statistics Toolbox
In-Depth yet Accessible Treatment of Computer Science-Related Topics
Starting with the fundamentals of probability, the text takes students through topics heavily featured in modern computer science, computer engineering, software engineering, and associated fields, such as computer simulations, Monte Carlo methods, stochastic processes, Markov chains, queuing theory, statistical inference, and regression. It also meets the requirements of the Accreditation Board for Engineering and Technology (ABET).
Encourages Practical Implementation of Skills
Using simple MATLAB commands (easily translatable to other computer languages), the book provides short programs for implementing the methods of probability and statistics as well as for visualizing randomness, the behavior of random variables and stochastic processes, convergence results, and Monte Carlo simulations. Preliminary knowledge of MATLAB is not required. Along with numerous computer science applications and worked examples, the text presents interesting facts and paradoxical statements. Each chapter concludes with a short summary and many exercises.
Michael Baron is a professor of statistics at the University of Texas at Dallas. He has published two books and numerous research articles and book chapters. Dr. Baron is a fellow of the American Statistical Association, a member of the International Society for Bayesian Analysis, and an associate editor of the Journal of Sequential Analysis. In 2007, he was awarded the Abraham Wald Prize in Sequential Analysis. His research focuses on the use of sequential analysis, change-point detection, and Bayesian inference in epidemiology, clinical trials, cyber security, energy, finance, and semiconductor manufacturing. He received a Ph.D. in statistics from the University of Maryland.
Introduction and Overview
Making decisions under uncertainty
Overview of this book
Probability and Random Variables
Probability
Sample space, events, and probability
Rules of Probability
Equally likely outcomes. Combinatorics
Conditional probability. Independence
Discrete Random Variables and Their Distributions
Distribution of a random variable
Distribution of a random vector
Expectation and variance
Families of discrete distributions
Continuous Distributions
Probability density
Families of continuous distributions
Central limit theorem
Computer Simulations and Monte Carlo Methods
Introduction
Simulation of random variables
Solving problems by Monte Carlo methods
Stochastic Processes
Stochastic Processes
Definitions and classifications
Markov processes and Markov chains
Counting processes
Simulation of stochastic processes
Queuing Systems
Main components of a queuing system
The Little’s Law
Bernoulli single-server queuing process
M/M/1 system
Multiserver queuing systems
Simulation of queuing systems
Statistics
Introduction to Statistics
Population and sample, parameters and statistics
Simple descriptive statistics
Graphical statistics
Statistical Inference I
Parameter estimation
Confidence intervals
Unknown standard deviation
Hypothesis testing
Inference about variances
Statistical Inference II
Chi-square tests
Nonparametric statistics
Bootstrap
Bayesian inference
Regression
Least squares estimation
Analysis of variance, prediction, and further inference
Multivariate regression
Model building
Appendix
Appendix
Inventory of distributions
Distribution tables
Calculus review
Matrices and linear systems
Answers to selected exercises
Index
Summary, Conclusions, and Exercises are included at the end of each chapter.
| Zusatzinfo | 23 Tables, black and white; 99 Illustrations, black and white |
|---|---|
| Verlagsort | Washington |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 1066 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra | |
| Mathematik / Informatik ► Mathematik ► Statistik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 1-4398-7590-1 / 1439875901 |
| ISBN-13 | 978-1-4398-7590-2 / 9781439875902 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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