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Addison-Wesley / Prentice Hall

Statistics

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Probability and Statistical Inference, 6/E
Robert V. HoggUniversity of Iowa
Elliot A. TanisHope College

ISBN-10: 0130272949
ISBN-13:  9780130272942

Publisher:  Pearson
Copyright:  2001
Format:  Cloth Bound w/CD-ROM; 704 pp
Published:  07/25/2000

For a one/two-semester, junior/senior-level course in Math Stat and/or calculus based Probability and Statistics.

This applied introduction to the mathematics of probability and statistics for students with a background in calculus uses numerous examples, real data based applications, and computer driven exercises to help explain and motivate the concepts.

  • NEW - Probability models—Introduced in Ch. 1.
    • Enables students to recognize from the beginning that the characteristics of the empirical distributions are estimates of those of probability distributions. Spurs their interest in checking to see if a probability model is appropriate for the situation under consideration throughout the text. Ex.___

  • NEW - Simplified presentation of concepts in probability and basic distributions—(Chs. 2-4). Introduces a few of the easiest distributions through examples; eliminates the probability generating function, and notes that the moment-generating function can serve in the same capacity.
    • Makes the material more accessible. Ex.___

  • NEW - Earlier introduction of multivariate distributions.
    • Many users requested this change which enables instructors to start statistical methods sooner, without conditional distributions, if desired. Ex.___

  • NEW - Greater emphasis on confidence intervals than in previous editions—Clearly spells out the relationship between confidence intervals and tests of hypotheses. Because of the natural relationship with one-sided tests of hypotheses, we have increased the emphasis on one-sided confidence intervals to facilitate the need of the practitioner who wants a lower or upper bound for the parameter in question.
  • NEW - Distribution-free techniques are now integrated in this chapter rather than being relegated to a separate chapter.
    • Given the new organization of the chapter on Confidence intervals, the instructor may choose to introduce early basic concepts of regression and distribution-free techniques along with the standard techniques.

  • NEW - A section on resampling methods (Section 8.11) has been added.
    • Provides the opportunity to cover the new technique in statistical inference. Ex.___

  • NEW - A Prologue, Centerpiece, and an Epilogue—Added to provide unification of the various chapters in the book and to emphasize that variation occurs in almost every process, and that the study of probability and statistics helps us understand this variability.
  • NEW - An accompanying CD-ROM—Contains 1) a selection of figures from the text that have been created as animations. These figures may easily be viewed in the using of a web browser; and 2) the data sets for the examples and exercises (saved in both Minitab compatible format and ASCII).
    • Seeing graphs and other figures in an animated format brings the concept to life. Ex.___

  • A Review of Selected Mathematical Techniques—(Appendix A). Includes a method that makes integration by parts easier; and derives the important Rule of 72 that provides an approximation to the number of years necessary for money to double.
    • Helps reinforce certain basic concepts of mathematics, particularly calculus. Ex.___

  • Many applications-oriented examples and exercises—e.g., in biology, education, economics, engineering, environmental studies, exercise science, health science, manufacturing, opinion polls, psychology, sociology, and sports. The data sets for all of the exercises are available on a data disk and on the Web.
    • Makes the book interesting and appealing to a student with a range of majors.

  • Probability models—Introduced in Ch. 1.
    • Enables students to recognize from the beginning that the characteristics of the empirical distributions are estimates of those of probability distributions. Spurs their interest in checking to see if a probability model is appropriate for the situation under consideration throughout the text. Ex.___

  • Simplified presentation of concepts in probability and basic distributions—(Chs. 2-4). Introduces a few of the easiest distributions through examples; eliminates the probability generating function, and notes that the moment-generating function can serve in the same capacity.
    • Makes the material more accessible. Ex.___

  • Earlier introduction of multivariate distributions.
    • Many users requested this change which enables instructors to start statistical methods sooner, without conditional distributions, if desired. Ex.___

  • Greater emphasis on confidence intervals than in previous editions—Clearly spells out the relationship between confidence intervals and tests of hypotheses. Because of the natural relationship with one-sided tests of hypotheses, we have increased the emphasis on one-sided confidence intervals to facilitate the need of the practitioner who wants a lower or upper bound for the parameter in question.
  • Distribution-free techniques are now integrated in this chapter rather than being relegated to a separate chapter.
    • Given the new organization of the chapter on Confidence intervals, the instructor may choose to introduce early basic concepts of regression and distribution-free techniques along with the standard techniques.

  • A section on resampling methods (Section 8.11) has been added.
    • Provides the opportunity to cover the new technique in statistical inference. Ex.___

  • A Prologue, Centerpiece, and an Epilogue—Added to provide unification of the various chapters in the book and to emphasize that variation occurs in almost every process, and that the study of probability and statistics helps us understand this variability.
  • An accompanying CD-ROM—Contains 1) a selection of figures from the text that have been created as animations. These figures may easily be viewed in the using of a web browser; and 2) the data sets for the examples and exercises (saved in both Minitab compatible format and ASCII).
    • Seeing graphs and other figures in an animated format brings the concept to life. Ex.___



1. Empirical and Probability Distributions.

Basic Concepts. The Mean, Variance, and Standard Deviation. Continuous-Type Data. Exploratory Data Analysis. Graphical Comparisons of Data Sets. Time Sequences. Probability Density and Mass Functions.



2. Probability.

Properties of Probability. Methods of Enumeration. Conditional Probability. Independent Events. Bayes' Theorem.



3. Discrete Distributions.

Random Variables of the Discrete Type. Mathematical Expectation. Bernoulli Trials and the Binomial Distribution. The Moment-Generating Function. The Poisson Distribution.



4. Continuous Distributions.

Random Variables of the Continuous Type. The Uniform and Exponential Distributions. The Gamma and Chi-Square Distributions. The Normal Distribution. Distributions of Functions of a Random Variable. Mixed Distributions and Censoring.



5. Multivariable Distributions.

Distributions of Two Random Variables. The Correlation Coefficient. Conditional Distributions. The Bivariate Normal Distribution. Transformations of Random Variables. Order Statistics.



6. Sampling Distribution Theory.

Independent Random Variables. Distributions of Sums of Independent Random Variables. Random Functions Associated with Normal Distributions. The Central Limit Theorem. Approximations for Discrete Distributions. The t and F Distributions. Limiting Moment-Generating Functions. Chebyshev's Inequality and Convergence in Probability.

Importance of Understanding Variability.

7. Estimation.

Point Estimation. Confidence Intervals for Means. Confidence Intervals for Difference of Two Means. Confidence Intervals for Variances. Confidence Intervals for Proportions. Sample Size. Distribution-Free Confidence Intervals for Percentiles. A Simple Regression Problem. More Regression.

8. Tests of Statistical Hypotheses.

Tests about Proportions. Tests about One Mean and One Variance. Tests of the Equality of Two Normal Distributions. Chi-Square Goodness of Fit Test. Contingency Tables. Tests of the Equality of Several Means. Two-Factor Analysis of Variance. Tests Concerning Regression and Correlation. The Wilcoxon Tests. Kolmogorov-Smirnov Goodness of Fit Test. Resampling Methods. Run Test and Test for Randomness.

9. Theory of Statistical Inference.

Sufficient Statistics. Power of a Statistical Test. Best Critical Regions. Likelihood Ratio Tests. Bayesian Estimation. Asymptotic Distributions of Maximum Likelihood Estimators.

10. Quality Improvement through Statistical Methods.

Statistical Quality Control. General Factorial and 2k Factorial Designs. More on Design of Experiments.

Epilogue.Appendix A. Review of Selected Mathematical Techniques.

Algebra of Sets. Mathematical Tools for the Hypergeometric Distribution. Limits. Infinite Series. Integration. Multivariate Calculus.

Appendix B. References.Appendix C. Tables.Appendix D. Answers to Odd-Numbered Exercises.Index.

  • 9780321584755
    Probability and Statistical Inference, 8/E
    Hogg & Tanis
    ©2010 | Pearson | Cloth Bound w/CD-ROM; 648 pp | Instock
    ISBN-10: 0321584759 | ISBN-13: 9780321584755
    Brief Description

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