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.

Probability and statistical inference

Science & Math

Hogg, Robert V.

Mathematics

Collier Macmillan

An accessible introduction to the mathematics of probability and statistics for students with a background in calculus. Numerous applications help to explain and motivate the concepts. This revision features a more flexible organization to better meet the needs of one or two semester courses requiring varying levels of rigor. Easier than Hogg/Craig.

Probability and Statistical Inference

Macmillan Publishing Co.

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 variability. Designed for students with a background in calculus, it reinforces basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.

Probability And Statistical Inference

Tanis, Elliot A.

Pearson College Div

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: <ul>
<li> 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™. </li>
<li> 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.</li> </ul>
 Content updates <ul>
<li> 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. </li>
<li> 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. </li>
<li> 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. </li>
<li> 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. </li>
<li> Chapter 9 (Bayesian Methods) explains the use of the "Dutch book" to prove certain probability theorems. </li>
<li> Chapter 11 (Quality Improvement) stresses how important W. Edwards Deming's ideas are in understanding variation and how they apply to everyday life. </li> </ul>
 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

Probability and Statistical Inference (8th Edition)

Tanis, Elliot

Pearson

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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 variability. Designed for students with a background in calculus, it reinforces basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.

Pearson Education Limited

For a one- or two-semester course; calculus background presumed, no previous study of probability or statistics is required.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.

Probability and Statistical Inference, Global Edition

See the best price to sell, buy, or rent books by Hogg, Robert V.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Hogg, Robert V.

See the best price to sell, buy, or rent books by Hogg, Robert V.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Probability and statistical inference

Probability and statistical inference

Probability and Statistical Inference

Probability And Statistical Inference

Probability and Statistical Inference (8th Edition)

Probability and Statistical Inference

Probability and Statistical Inference

Probability and Statistical Inference, Global Edition