Ugarte / Militino / Arnholt Probability and Statistics with R, Second Edition

2. Auflage 2015
ISBN: 978-1-4665-0440-0
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 983 Seiten

Cohesively Incorporates Statistical Theory with R Implementation

Since the publication of the popular first edition of this comprehensive textbook, the contributed R packages on CRAN have increased from around 1,000 to over 6,000. Designed for an intermediate undergraduate course, Probability and Statistics with R, Second Edition explores how some of these new packages make analysis easier and more intuitive as well as create more visually pleasing graphs.

New to the Second Edition

- Improvements to existing examples, problems, concepts, data, and functions

- New examples and exercises that use the most modern functions

- Coverage probability of a confidence interval and model validation

- Highlighted R code for calculations and graph creation

Gets Students Up to Date on Practical Statistical Topics

Keeping pace with today’s statistical landscape, this textbook expands your students’ knowledge of the practice of statistics. It effectively links statistical concepts with R procedures, empowering students to solve a vast array of real statistical problems with R.

Web Resources

A supplementary website offers solutions to odd exercises and templates for homework assignments while the data sets and R functions are available on CRAN.

Autoren/Hrsg.

Ugarte, Maria Dolores

Militino, Ana F.

Arnholt, Alan T.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Bayesianische Inferenz

Inhaltsverzeichnis

What Is R?

Introduction to R

Downloading and Installing R
Vectors
Mode and Class of an Object

Getting Help

External Editors

RStudio

Packages
R Data Structures
Reading and Saving Data in R
Working with Data
Using Logical Operators with Data Frames

Tables

Summarizing Functions

Probability Functions

Flow Control

Creating Functions

Simple Imputation

Using plot()

Coordinate Systems and Traditional Graphic’s States

Exploring Data
What Is Statistics?

Data

Displaying Qualitative Data
Displaying Quantitative Data

Summary Measures of Location

Summary Measures of Spread

Bivariate Data

Complex Plot Arrangements

Multivariate Data

General Probability and Random Variables

Introduction

Counting Techniques
Axiomatic Probability
Random Variables
Moment Generating Functions

Univariate Probability Distributions

Introduction

Discrete Univariate Distributions
Continuous Univariate Distributions

Multivariate Probability Distributions

Joint Distribution of Two Random Variables

Independent Random Variables

Several Random Variables

Conditional Distributions

Expected Values, Covariance, and Correlation

Multinomial Distribution

Bivariate Normal Distribution

Sampling and Sampling Distributions

Sampling
Parameters

Estimators

Sampling Distribution of the Sample Mean

Sampling Distribution for a Statistic from an Infinite Population
Sampling Distributions Associated with the Normal Distribution

Point Estimation

Introduction

Properties of Point Estimators
Point Estimation Techniques

Confidence Intervals

Introduction

Confidence Intervals for Population Means

Confidence Intervals for Population Variances
Confidence Intervals Based on Large Samples

Hypothesis Testing

Introduction

Type I and Type II Errors

Power Function

Uniformly Most Powerful Test

Über Autor(innen)

María Dolores Ugarte is a professor of statistics in the Department of Statistics and Operations Research at the Public University of Navarre (UPNA). She is an associate editor of Statistical Modelling, TEST, and Computational Statistics and Data Analysis and an editorial board member of Spatial and Spatio-temporal Epidemiology. She received a rating of "Excellent Teacher" from UPNA in 2008 and the INNOLEC Lectureship Award from Masaryk University in 2007. She earned a PhD in statistics from UPNA and completed her postdoctoral training in the Department of Mathematics and Statistics at Simon Fraser University.

Ana F. Militino is a professor of statistics at the Public University of Navarre. She is co-editor in chief of TEST, official journal of the Spanish Society of Statistics and Operations Research. She received the John Griffiths teaching award in 2011 and was a visiting researcher at Oxford University and Simon Fraser University. She earned a PhD in statistics from the University of Extremadura.

Alan T. Arnholt is a professor in the Department of Mathematical Sciences at Appalachian State University, where he has taught undergraduate and graduate statistics since 1993. He earned a PhD in applied statistics from the University of Northern Colorado.