A Probability and Statistics Companion

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John Wiley & Sons, 06.05.2009 - 280 Seiten
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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Inhalt

1 Probability and Sample Spaces
1
2 Permutations and Combinations Choosing the Best Candidate Acceptance Sampling
18
3 Conditional Probability
37
4 Geometric Probability
48
5 Random Variables and Discrete Probability DistributionsUniform Binomial Hypergeometric and Geometric Distributions
58
6 SevenGame Series in Sports
75
7 Waiting Time Problems
83
8 Continuous Probability Distributions Sums the Normal Distribution and the Central Limit Theorem Bivariate Random Variables
108
11 Statistical Process Control
155
12 Nonparametric Methods
170
13 Least Squares Medians and the Indy 500
188
14 Sampling
211
15 Design of Experiments
223
16 Recursions and Probability
240
17 Generating Functions and the Central Limit Theorem
251
Bibliography
257

9 Statistical Inference I
130
10 Statistical Inference II Continuous Probability Distributions IIComparing Two Samples
141

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Über den Autor (2009)

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.

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