BOOK DESCRIPTION:
Written by two leading statisticians, this applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book continues to reinforce basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.
NEW TO THIS EDITION:
Content updates
TABLE OF CONTENTS:
Preface
Prologue
1. Probability
1.1 Basic Concepts
1.2 Properties of Probability
1.3 Methods of Enumeration
1.4 Conditional Probability
1.5 Independent Events
1.6 Bayes's Theorem
2. Discrete Distributions
2.1 Random Variables of the Discrete Type
2.2 Mathematical Expectation
2.3 The Mean, Variance, and Standard Deviation
2.4 Bernoulli Trials and the Binomial Distribution
2.5 The Moment-Generating Function
2.6 The Poisson Distribution
3. Continuous Distributions
3.1 Continuous-Type Data
3.2 Exploratory Data Analysis
3.3 Random Variables of the Continuous Type
3.4 The Uniform and Exponential Distributions
3.5 The Gamma and Chi-Square Distributions
3.6 The Normal Distribution
3.7 Additional Models
4. Bivariate Distributions
4.1 Distributions of Two Random Variables
4.2 The Correlation Coefficient
4.3 Conditional Distributions
4.4 The Bivariate Normal Distribution
5. Distributions of Functions of Random Variables
5.1 Functions of One Random Variable
5.2 Transformations of Two Random Variables
5.3 Several Independent Random Variables
5.4 The Moment-Generating Function Technique
5.5 Random Functions Associated with Normal Distributions
5.6 The Central Limit Theorem
5.7 Approximations for Discrete Distributions
6. Estimation
6.1 Point Estimation
6.2 Confidence Intervals for Means
6.3 Confidence Intervals for Difference of Two Means
6.4 Confidence Intervals for Variances
6.5 Confidence Intervals for Proportions
6.6 Sample Size.
6.7 A Simple Regression Problem
6.8 More Regression
7. Tests of Statistical Hypotheses
7.1 Tests about Proportions
7.2 Tests about One Mean
7.3 Tests of the Equality of Two Means
7.4 Tests for Variances
7.5 One-Factor Analysis of Variance
7.6 Two-Factor Analysis of Variance
7.7 Tests Concerning Regression and Correlation
8. Nonparametric Methods
8.1 Chi-Square Goodness of Fit Tests
8.2 Contingency Tables
8.3 Order Statistics
8.4 Distribution-Free Confidence Intervals for Percentiles
8.5 The Wilcoxon Tests
8.6 Run Test and Test for Randomness
8.7 Kolmogorov-Smirnov Goodness of Fit Test
8.8 Resampling Methods
9. Bayesian Methods
9.1 Subjective Probability
9.2 Bayesian Estimation
9.3 More Bayesian Concepts
10. Some Theory
10.1 Sufficient Statistics
10.2 Power of a Statistical Test
10.3 Best Critical Regions
10.4 Likelihood Ratio Tests
10.5 Chebyshev's Inequality and Convergence in Probability
10.6 Limiting Moment-Generating Functions
10.7 Asymptotic Distributions of Maximum Likelihood Estimators
11. Quality Improvement Through Statistical Methods
11.1 Time Sequences
11.2 Statistical Quality Control
11.3 General Factorial and 2k Factorial Designs
11.4 Understanding Variation
A. Review of Selected Mathematical Techniques
A.1 Algebra of Sets
A.2 Mathematical Tools for the Hypergeometric Distribution
A.3 Limits
A.4 Infinite Series
A.5 Integration
A.6 Multivariate Calculus
B. References
C. Tables
D. Answers to Odd-Numbered Exercises
"synopsis" may belong to another edition of this title.
>>>
Written by two leading statisticians, this applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book continues to reinforce basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.
Probability; Discrete Distributions; Continuous Distributions; Bivariate Distributions; Distributions of Functions of Random Variables; Estimation; Tests of Statistical Hypotheses; Nonparametric Methods; Bayesian Methods; Some Theory; Quality Improvement Through Statistical Methods
For all readers interested in mathematical statistics.]]>
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 2nd 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.
"About this title" may belong to another edition of this title.
Shipping:
US$ 3.99
Within U.S.A.
Seller: Goodwill Books, Hillsboro, OR, U.S.A.
Condition: Acceptable. Fairly worn, but readable and intact. If applicable: Dust jacket, disc or access code may not be included. Seller Inventory # 3IITB9000D3L_ns
Quantity: 1 available
Seller: SecondSale, Montgomery, IL, U.S.A.
Condition: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00083709718
Quantity: 1 available
Seller: Book Deals, Tucson, AZ, U.S.A.
Condition: Good. Good condition. This is the average used book, that has all pages or leaves present, but may include writing. Book may be ex-library with stamps and stickers. 1.34. Seller Inventory # 353-0321584759-gdd
Quantity: 1 available
Seller: Book Deals, Tucson, AZ, U.S.A.
Condition: Very Good. Very Good condition. Shows only minor signs of wear, and very minimal markings inside (if any). 1.34. Seller Inventory # 353-0321584759-vrg
Quantity: 1 available
Seller: Goodwill of Greater Milwaukee and Chicago, Racine, WI, U.S.A.
Condition: good. Book is considered to be in good or better condition. The actual cover image may not match the stock photo. Hard cover books may show signs of wear on the spine, cover or dust jacket. Paperback book may show signs of wear on spine or cover as well as having a slight bend, curve or creasing to it. Book should have minimal to no writing inside and no highlighting. Pages should be free of tears or creasing. Stickers should not be present on cover or elsewhere, and any CD or DVD expected with the book is included. Book is not a former library copy. Seller Inventory # SEWV.0321584759.G
Quantity: 1 available
Seller: Goodwill of Silicon Valley, SAN JOSE, CA, U.S.A.
Condition: acceptable. Supports Goodwill of Silicon Valley job training programs. The cover and pages are in Acceptable condition! Any other included accessories are also in Acceptable condition showing use. Use can include some highlighting and writing, page and cover creases as well as other types visible wear such as cover tears discoloration, staining, marks, scuffs, etc. All pages intact. Seller Inventory # GWSVV.0321584759.A
Quantity: 1 available
Seller: SecondSale, Montgomery, IL, U.S.A.
Condition: Very Good. Item in very good condition! Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00084961132
Quantity: 1 available
Seller: Grumpys Fine Books, Tijeras, NM, U.S.A.
Hardcover. Condition: very good. little wear and tear. Seller Inventory # Grumpy0321584759
Quantity: 1 available
Seller: Wrigley Books, Austin, TX, U.S.A.
Hardcover. Condition: very good. Used items may not include media like access codes or CDs. Fast shipping! Expedited orders take 1-3 business days! Media mail may take up to 5 business days. Seller Inventory # 3C-9780321584755-V
Quantity: 4 available
Seller: Grumpys Fine Books, Tijeras, NM, U.S.A.
Hardcover. Condition: new. Prompt service guaranteed. Seller Inventory # Clean0321584759
Quantity: 1 available