John J. Kinney

A Probability and Statistics Companion (eBook, PDF)

• Format: PDF

Produktbeschreibung

An accessible and engaging introduction to the study of probability and statistics Utilizing entertaining real-world examples, A Probability and Statistics Companion provides aunique, interesting, and accessible introduction to probability and statistics. This one-of-a-kind book delves into practical topics that are crucial in the analysis of sample surveys and experimentation. This handy book contains introductory explanations of the major topics in probability and statistics, including hypothesis testing and regression, while also delving into more advanced topics such as the analysis of sample surveys, analysis of experimental data, and statistical process control. The book recognizes that there are many sampling techniques that can actually improve on simple random sampling, and in addition, an introduction to the design of experiments is provided to reflect recent advances in conducting scientific experiments. This blend of coverage results in the development of a deeper understanding and solid foundation for the study of probability and statistics. Additional topical coverage includes: * Probability and sample spaces * Choosing the best candidate * Acceptance sampling * Conditional probability * Random variables and discrete probability distributions * Waiting time problems * Continuous probability distributions * Statistical inference * Nonparametric methods * Least squares and medians * Recursions and probability Each chapter contains exercises and explorations for readers who wish to conduct independent projects or investigations. The discussion of most methods is complemented with applications to engaging, real-world scenarios such as winning speeds at the Indianapolis 500 and predicting winners of the World Series. In addition, the book enhances the visual nature of the subject with numerous multidimensional graphical representations of the presented examples. A Probability and Statistics Companion is an excellent book for introductory probability and statistics courses at the undergraduate level. It is also a valuable reference for professionals who use statistical concepts to make informed decisions in their day-to-day work.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 280
• Erscheinungstermin: 8. Mai 2009
• Englisch
• ISBN-13: 9780470486962
• Artikelnr.: 37293008

Autorenporträt

John J. Kinney, PhD, is Professor Emeritus of Mathematics at Rose-Hulman Institute of Technology. He has extensive academic experience and has conducted research in the areas of probability and statistics. In addition to numerous journal articles, Dr. Kinney is the author of Probability: An Introduction with Statistical Applications, also published by Wiley.

Inhaltsangabe

Preface. 1. Probability and Sample Spaces. Why Study Probability?
Probability. Sample Spaces. Some Properties of Probabilities. Finding
Probabilities of Events. Conclusions. Explorations. 2. Permutations and
Combinations: Choosing the Best Candidate; Acceptance Sampling.
Permutations. Counting Principle. Permutations with Some Objects Alike.
Permuting Only Some of the Objects. Combinations. General Addition Theorem
and Applications. Conclusions. Explorations. 3. Conditional Probability.
Introduction. Some Notation. Bayes' Theorem. Conclusions. Explorations. 4.
Geometric Probability. Conclusion. Explorations. 5. Random Variables and
Discrete Probability Distributions--Uniform, Binomial, Hypergeometric, and
Geometric Distributions. Introduction. Discrete Uniform Distribution. Mean
and Variance of a Discrete Random Variable. Intervals, Ã, and German Tanks.
Sums. Binomial Probability Distribution. Mean and Variance of the Binomial
Distribution. Sums. Hypergeometric Distribution. Other Properties of the
Hypergeometric Distribution. Geometric Probability Distribution.
Conclusions. Explorations. 6. Seven-Game Series in Sports. Introduction.
Seven-Game Series. Winning the First Game. How Long Should the Series Last?
Conclusions. Explorations. 7. Waiting Time Problems. Waiting for the First
Success. The Mythical Island. Waiting for the Second Success. Waiting for
the rth Success. Mean of the Negative Binomial. Collecting Cereal Box
Prizes. Heads Before Tails. Waiting for Patterns. Expected Waiting Time for
HH. Expected Waiting Time for TH. An Unfair Game with a Fair Coin. Three
Tosses. Who Pays for Lunch? Expected Number of Lunches. Negative
Hypergeometric Distribution. Mean and Variance of the Negative
Hypergeometric. Negative Binomial Approximation. The Meaning of the Mean.
First Occurrences. Waiting Time for c Special Items to Occur. Estimating k.
Conclusions. Explorations. 8. Continuous Probability Distributions: Sums,
the Normal Distribution, and the Central Limit Theorem; Bivariate Random
Variables. Uniform Random Variable. Sums. A Fact About Means. Normal
Probability Distribution. Facts About Normal Curves. Bivariate Random
Variables. Variance. Central Limit Theorem: Sums. Central Limit Theorem:
Means. Central Limit Theorem. Expected Values and Bivariate Random
Variables. Means and Variances of Means. A Note on the Uniform
Distribution. Conclusions. Explorations. 9. Statistical Inference I.
Estimation. Confidence Intervals. Hypothesis Testing. ² and the Power of a
Test. p-Value for a Test. Conclusions. Explorations. 10. Statistical
Inference II: Continuous Probability Distributions II--Comparing Two
Samples. The Chi-Squared Distribution. Statistical Inference on the
Variance. Student t Distribution. Testing the Ratio of Variances: The F
Distribution. Tests on Means from Two Samples. Conclusions. Explorations.
11. Statistical Process Control. Control Charts. Estimating à Using the
Sample Standard Deviations. Estimating à Using the Sample Ranges. Control
Charts for Attributes. np Control Chart. p Chart. Some Characteristics of
Control Charts. Some Additional Tests for Control Charts. Conclusions.
Explorations. 12. Nonparametric Methods. Introduction. The Rank Sum Test.
Order Statistics. Median. Maximum. Runs. Some Theory of Runs. Conclusions.
Explorations. 13. Least Squares, Medians, and the Indy 500. Introduction.
Least Squares. Principle of Least Squares. Influential Observations. The
Indy 500. A Test for Linearity: The Analysis of Variance. A Caution.
Nonlinear Models. The Median-Median Line. When Are the Lines Identical?
Determining the Median-Median Line. Analysis for Years 1911-1969.
Conclusions. Explorations. 14. Sampling. Simple Random Sampling.
Stratification. Proportional Allocation. Optimal Allocation. Some Practical
Considerations. Strata. Conclusions. Explorations. 15. Design of
Experiments. Yates Algorithm. Randomization and Some Notation. Confounding.
Multiple Observations. Design Models and Multiple Regression Models.
Testing the Effects for Significance. Conclusions. Explorations. 16.
Recursions and Probability. Introduction. Conclusions. Explorations. 17.
Generating Functions and the Central Limit Theorem. Means and Variances. A
Normal Approximation. Conclusions. Explorations. Bibliography. Where to
Learn More. Index.