Produktbild: A Probability and Statistics Companion

A Probability and Statistics Companion

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.06.2009

Abbildungen

Charts: 1 B&W, 0 Color; Drawings: 28 B&W, 0 Color; Graphs: 90 B&W, 0 Color

Verlag

John Wiley & Sons Inc

Seitenzahl

280

Maße (L/B/H)

23.3/15.7/2 cm

Gewicht

475 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-47195-1

Beschreibung

Rezension

"Each chapter includes exercises and explorations for interested readers. This book provides teachers and instructors with interesting real-world examples that can be used as supporting material for introductory courses on probability and statistics. Including chapters on more advanced and practical topics, like stratified sampling, analysis of experimental data and statistical process control, it may also be of interest to professionals and engineers who use statistical concepts in their work. Undergraduate students, who want to delve into practical applications, can use this book supplementary to a theoretical introduction." ( Zentralblatt MATH , 2010)

"Topics include sampling and sample spaces, basic probability, discrete and continuous data, statistical inferences, regression analysis, and experimental design--thus providing broad-based considerations for introductory course instructors to draw from." ( CHOICE , 2009)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.06.2009

Abbildungen

Charts: 1 B&W, 0 Color; Drawings: 28 B&W, 0 Color; Graphs: 90 B&W, 0 Color

Verlag

John Wiley & Sons Inc

Seitenzahl

280

Maße (L/B/H)

23.3/15.7/2 cm

Gewicht

475 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-47195-1

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: A Probability and Statistics Companion
  • 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.