Robert V. Hogg, Professor Emeritus of Statistics at the University of Iowa since 2001, received his B.A. in mathematics at the University of Illinois and his M.S. and Ph.D. degrees in mathematics, specializing in actuarial sciences and statistics, from the University of Iowa. Known for his gift of humor and his passion for teaching, Hogg has had far-reaching influence in the field of statistics. Throughout his career, Hogg has played a major role in defining statistics as a unique academic field, and he almost literally "wrote the book" on the subject. He has written more than 70 research articles and co-authored four books including Introduction of Mathematical Statistics, 6th edition, with J. W. McKean and A.T. Craig, Applied Statistics for Engineers and Physical Scientists 3rd edtion with J. Ledolter and A Brief Course in Mathematical 1st edition with E.A. Tanis. His texts have become classroom standards used by hundreds of thousands of students
Among the many awards he has received for distinction in teaching, Hogg has been honored at the national level (the Mathematical Association of America Award for Distinguished Teaching), the state level (the Governor's Science Medal for Teaching), and the university level (Collegiate Teaching Award). His important contributions to statistical research have been acknowledged by his election to fellowship standing in the ASA and the Institute of Mathematical Statistics.
Elliot Tanis, Professor Emeritus of mathematics at Hope College, In addition to this text, received his M.S. and Ph.D. degrees from the University of Iowa. Tanis is the co-author of A Brief Course in Mathematical Statistics with R. Hogg and Probability and Statistics: Explorations with MAPLE 2^{nd} edition with Z. Karian. He has authored over 30 publications on statistics and is a past chairman and governor of the Michigan MAA, which presented him with both its Distinguished Teaching and Distinguished Service Awards. He taught at Hope for 35 years and in 1989 received the HOPE Award (Hope's Outstanding Professor Educator) for his excellence in teaching. In addition to his academic interests, Dr. Tanis is also an avid tennis player and devoted Hope sports fan.
Preface | |
Prologue | |
Probability | |
Basic Concepts | |
Properties of Probability | |
Methods of Enumeration | |
Conditional Probability | |
Independent Events | |
Bayes's Theorem | |
Discrete Distributions | |
Random Variables of the Discrete Type | |
Mathematical Expectation | |
The Mean, Variance, and Standard Deviation | |
Bernoulli Trials and the Binomial Distribution | |
The Moment-Generating Function | |
The Poisson Distribution | |
Continuous Distributions | |
Continuous-Type Data | |
Exploratory Data Analysis | |
Random Variables of the Continuous Type | |
The Uniform and Exponential Distributions | |
The Gamma and Chi-Square Distributions | |
The Normal Distribution | |
Additional Models | |
Bivariate Distributions | |
Distributions of Two Random Variables | |
The Correlation Coefficient | |
Conditional Distributions | |
The Bivariate Normal Distribution | |
Distributions of Functions of Random Variables | |
Functions of One Random Variable | |
Transformations of Two Random Variables | |
Several Independent Random Variables | |
The Moment-Generating Function Technique | |
Random Functions Associated with Normal Distributions | |
The Central Limit Theorem | |
Approximations for Discrete Distributions | |
Estimation | |
Point Estimation | |
Confidence Intervals for Means | |
Confidence Intervals for Difference of Two Means | |
Confidence Intervals for Variances | |
Confidence Intervals for Proportions | |
Sample Size | |
A Simple Regression Problem | |
More Regression | |
Tests of Statistical Hypotheses | |
Tests about Proportions | |
Tests about One Mean | |
Tests of the Equality of Two Means | |
Tests for Variances | |
One-Factor Analysis of Variance | |
Two-Factor Analysis of Variance | |
Tests Concerning Regression and Correlation | |
Nonparametric Methods | |
Chi-Square Goodness of Fit Tests | |
Contingency Tables | |
Order Statistics | |
Distribution-Free Confidence Intervals for Percentiles | |
The Wilcoxon Tests | |
Run Test and Test for Randomness | |
Kolmogorov-Smirnov Goodness of Fit Test | p. 8 |
Table of Contents provided by Publisher. All Rights Reserved. |