Brief Course in Mathematical Statistics, A

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.

• Preface1. Probability1.1 Basic Concepts1.2 Methods of Enumeration1.3 Conditional Probability1.4 Independent Events1.5 Bayes's TheoremChapter One Comments2. Discrete Distributions2.1 Discrete Probability Distributions2.2 Expectations2.3 Special Discrete Distributions2.4 Estimation2.5 Linear Functions of Independent Random Variables2.6 Multivariate Discrete DistributionsChapter Two Comments3. Continuous Distributions3.1 Descriptive Statistics and EDA3.2 Continuous Probability Distributions3.3 Special Continuous Distributions3.4 The Normal Distribution3.5 Estimation in the Continuous Case3.6 The Central Limit Theorem3.7 Approximations for Discrete DistributionsChapter Three Comemnts4. Applications of Statistical Inference4.1 Summary of Necessary Theoretical Results4.2 Confidence Intervals Using X2 F,and T4.3 Confidence Intervals and Tests of Hypotheses4.4 Basic Tests Concerning One Parameter4.5 Tests of the Equality of Two Parameters4.6 Simple Linear Regression4.7 More on Linear Regression4.8 One-Factor Analysis of Variance4.9 Distribution-Free Confidence and Tolerance Intervals4.10 Chi-Square Goodness of Fit Tests4.11 Contingency TablesChapter Four Comments5. Computer Oriented Techniques5.1 Computation of Statistics5.2 Computer Algebra Systems5.3 Simulation5.4 ResamplingChapter Five Comments6. Some Sampling Distribution Theory6.1 Moment-Generation Function Technique6.2 M.G.F of Linear Functions6.3 Limiting Moment-Generating Functions6.4 Use of Order Statistics in Non-regular CasesChapter Six Comments

"The authors have years of experience analyzing real data, have collected excellent examples to illustrate statistical concepts and anomalies, and are proven writers in the discipline." Professor Charles Sommer, SUNY College at Brockport "The authors have done a wonderful job in writing this book...I must congratulate them for doing a great job and helping in the development of the subject of Statistics." Professor M.L. Aggarwal, The University of Memphis