A Brief Course in Mathematical Statistics

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Edition: 1st
Format: Paperback
Pub. Date: 2006-12-30
Publisher(s): Pearson
List Price: $142.64

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Summary

This innovative new introduction to Mathematical Statistics covers the important concept of estimation at a point much earlier (Chapter 2) than others on this subject. Applies mathematical statistics to topics such as insurance, Pap smear tests, estimating the number of whales in an ocean, fitting models, filling 12 ounce containers, environmental issues, and results in certain sporting events. Includes summaries of the most important aspects of discrete distributions, continuous distributions, confidence intervals, and tests of hypotheses. Provides computer applications for data analysis and also for theoretical solutions such as simulation and bootstrapping. A comprehensive reference for individuals who need to brush up on their knowledge of statistics.

Author Biography

Elliot A. Tanis: Tanis has written 30 articles in probability and statistics, many illustrating applications using the computer. He has authored or co-authored four books in probability and statistics. These include “Probability & Statistics Explorations with MAPLE,” 2nd edition, with Zaven Karian in 1999 and “Probability and Statistical Inference,” 7th edition, with Robert V. Hogg in 2006. He was Chairperson (1976-77) and Governor (1989-92) of the Michigan Section of the Mathematical Association of America. He was a winner of the Hope’s Outstanding Professor Educator (H.O.P.E.) award in 1989 and received the award for Distinguished College or University Teaching of Mathematics, Michigan Section, MAA, in 1992. Tanis became Professor Emeritus of Mathematics at Hope College in 2000 after teaching there 35 years.

 

Robert V. Hogg: Hogg has written over 70 research articles and coauthored five books, including “Introduction of Mathematical Statistics,” 6th edition, with J. W. McKean and  A.T. Craig,  and  “Probability and Statistical Inference,” 7th edition, with E.A. Tanis. He was President of the American Statistical Association in 1988 and was given the Founders and Noether awards of that society. Earlier he received an Outstanding Teacher award of the Mathematical Association of America and, in 2007, will receive the Carver Medal from the Institute of Mathematical Statistics. Hogg became Professor Emeritus of Statistics at the University of Iowa in 2001 after teaching there 51 years.

 

 

Table of Contents

Preface
Probability
Basic Concepts
Methods of Enumeration
Conditional Probability
Independent Events
Bayes's Theorem Chapter One Comments
Discrete Distributions
Discrete Probability Distributions
Expectations
Special Discrete Distributions
Estimation
Linear Functions of Independent Random Variables
Multivariate Discrete Distributions Chapter Two Comments
Continuous Distributions
Descriptive Statistics and EDA
Continuous Probability Distributions
Special Continuous Distributions
The Normal Distribution
Estimation in the Continuous Case
The Central Limit Theorem
Approximations for Discrete Distributions Chapter Three Comemnts
Applications of Statistical Inference
Summary of Necessary Theoretical Results
Confidence Intervals Using X2 F,and T
Confidence Intervals and Tests of Hypotheses
Basic Tests Concerning One Parameter
Tests of the Equality of Two Parameters
Simple Linear Regression
More on Linear Regression
One-Factor Analysis of Variance
Distribution-Free Confidence and Tolerance Intervals
Chi-Square Goodness of Fit Tests
Contingency Tables Chapter Four Comments
Computer Oriented Techniques
Computation of Statistics
Computer Algebra Systems
Simulation
Resampling Chapter Five Comments
Some Sampling Distribution Theory
Moment-Generation Function Technique
M.G.F of Linear Functions
Limiting Moment-Generating Functions
Use of Order Statistics in Non-regular Cases Chapter Six Comments
Table of Contents provided by Publisher. All Rights Reserved.

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