Background
Hogg, Robert Vincent was born on November 8, 1924 in Hannibal, Missouri, United States. Son of Robert Vincent and Isabelle Frances (Storrs) Hogg.
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(1 Probability and Distributions 2 Multivariate Distributi...)
1 Probability and Distributions 2 Multivariate Distributions 3 Some Special Distributions 4 Unbiasedness, Consistency, and Limiting Distributions 5 Some Elementary Statistical Inferences 6 Maximum Likelihood Methods 7 Sufficiency 8 Optimal Tests of Hypotheses 9 Inferences about Normal Models 10 Nonparametric Statistics 11 Bayesian Statistics 12 Linear Models
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( BOOK DESCRIPTION: Written by two leading statistician...)
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: • The included CD-ROM contains all of the data sets in a variety of formats for use with most statistical software packages. This disc also includes several applications of Minitab® and Maple™. • Historical vignettes at the end of each chapter outline the origin of the greatest accomplishments in the field of statistics, adding enrichment to the course. Content updates • The first five chapters have been reorganized to cover a standard probability course with more real examples and exercises. These chapters are important for students wishing to pass the first actuarial exam, and cover the necessary material needed for students taking this course at the junior level. • Chapters 6 and 7 on estimation and tests of statistical hypotheses tie together confidence intervals and tests, including one-sided ones. There are separate chapters on nonparametric methods, Bayesian methods, and Quality Improvement. • Chapters 4 and 5 include a strong discussion on conditional distributions and functions of random variables, including Jacobians of transformations and the moment-generating technique. Approximations of distributions like the binomial and the Poisson with the normal can be found using the central limit theorem. • Chapter 8 (Nonparametric Methods) includes most of the standards tests such as those by Wilcoxon and also the use of order statistics in some distribution-free inferences. • Chapter 9 (Bayesian Methods) explains the use of the "Dutch book" to prove certain probability theorems. • Chapter 11 (Quality Improvement) stresses how important W. Edwards Deming's ideas are in understanding variation and how they apply to everyday life. 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
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( This user-friendly introduction to the mathematics of ...)
This user-friendly introduction to the mathematics of probability and statistics (for readers with a background in calculus) uses numerous applications--drawn from biology, education, economics, engineering, environmental studies, exercise science, health science, manufacturing, opinion polls, psychology, sociology, and sports--to help explain and motivate the concepts. A review of selected mathematical techniques is included, and an accompanying CD-ROM contains many of the figures (many animated), and the data included in the examples and exercises (stored in both Minitab compatible format and ASCII). Empirical and Probability Distributions. Probability. Discrete Distributions. Continuous Distributions. Multivariable Distributions. Sampling Distribution Theory. Importance of Understanding Variability. Estimation. Tests of Statistical Hypotheses. Theory of Statistical Inference. Quality Improvement Through Statistical Methods. For anyone interested in the Mathematics of Probability and Statistics.
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(Paperback. Pub Date: in 2012 06 Language: English in Publ...)
Paperback. Pub Date: in 2012 06 Language: English in Publisher: Machinery Industry Press mathematical statistics Introduction (English version 7th Edition) English photocopy authorized Machinery Industry Press exclusive publication by Pearson Education Asia Ltd. . Copied or plagiarized book is not in any way without the prior written permission.
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(Written by three veteran statisticians, this applied intr...)
Written by three veteran statisticians, this applied introduction to 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.
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(advanced undergraduate or graduate textbook in mathematic...)
advanced undergraduate or graduate textbook in mathematical statistics. This is the international edition but does not differ one bit in writing from other 6th editions.
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( This hugely anticipated revision has held true to its c...)
This hugely anticipated revision has held true to its core strengths, while bringing the book fully up to date with modern engineering statistics. Written by two leading statisticians, Statistics for Engineers and Physical Scientists, Third Edition, provides the necessary bridge between basic statistical theory and interesting applications. Students solve the same problems that engineers and scientists face, and have the opportunity to analyze real data sets. Larger-scale projects are a unique feature of this book, which let students analyze and interpret real data, while also encouraging them to conduct their own studies and compare approaches and results. This book assumes a calculus background. It is appropriate for undergraduate and graduate engineering or physical science courses or for students taking an introductory course applied statistics.
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( This classic book retains its outstanding ongoing feat...)
This classic book retains its outstanding ongoing features and continues to provide readers with excellent background material necessary for a successful understanding of mathematical statistics. Chapter topics cover classical statistical inference procedures in estimation and testing, and an in-depth treatment of sufficiency and testing theory—including uniformly most powerful tests and likelihood ratios. Many illustrative examples and exercises enhance the presentation of material throughout the book. For a more complete understanding of mathematical statistics.
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(Applied Statistics for Engineers and Physical Scientists ...)
Applied Statistics for Engineers and Physical Scientists 2ND EDITION by Robert V. Hogg and Johannes Ledolter. Macmillan Publishing Co.,1992 (
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educator mathematical statistician
Hogg, Robert Vincent was born on November 8, 1924 in Hannibal, Missouri, United States. Son of Robert Vincent and Isabelle Frances (Storrs) Hogg.
Bachelor, University of Illinois, 1947; Master of Science, U. Iowa, 1948; Doctor of Philosophy, U. Iowa, 1950.
Assistant professor mathematics, U. Iowa, Iowa City, 1950-1956; associate professor, U. Iowa, Iowa City, 1956-1962; professor, U. Iowa, Iowa City, 1962-1965; department chairman statistics, professor statistics, U. Iowa, Iowa City, 1965-1983, 92-93; Hanson professor manufacturing productivity, U. Iowa, Iowa City, 1993-1995.
( This user-friendly introduction to the mathematics of ...)
(1 Probability and Distributions 2 Multivariate Distributi...)
( BOOK DESCRIPTION: Written by two leading statistician...)
(Written by three veteran statisticians, this applied intr...)
( This classic book retains its outstanding ongoing feat...)
( This hugely anticipated revision has held true to its c...)
(***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDI...)
(Applied Statistics for Engineers and Physical Scientists ...)
(advanced undergraduate or graduate textbook in mathematic...)
(Will be shipped from US. Used books may not include compa...)
(Paperback. Pub Date: in 2012 06 Language: English in Publ...)
Vestryman local Episcopalian church, 1958-1960, 66-68, 91-92. With United States Naval Reserve, 1943-1946. Fellow Institute Mathematics Statistics (program secretary, board board 1968-1974), American Statistical Association (president Iowa section 1962-1963, county 1965-1966, 73-74, visiting lecturer 1965-1968, 77-85, chairman training section 1973, associate editor journal 1978-1980, president-elect 1987, president 1988, past president 1989, Founders award 1991).
Member Mathematics Association American (president Iowa section 1964-1965, 95-96, Board of Governors 1971-1974, visa. lecturer 1976-1981, Outstanding Tchg. award 1993), International Statistical Institute, Rotary (president Iowa City 1984-1985), Sigma Xi (president Iowa district chapter 1970-1971), Pi Kappa Alpha.
Married Carolyn Joan Ladd, June 23, 1956 (deceased June 1990). Children: Mary Carolyn, Barbara Jean, Allen Ladd, Robert Mason. Married Ann Burke, October 15, 1994.