Introduction to Probability and Statistics
Subtitle: Principles and Applications for Engineering and the Computing Sciences
Publisher: McGraw-Hill Companies
Published: September 2002
Language: eng
Number of pages: 798
ISBN-13: 9780071198592
Table of contents: title: Preface
pagenum: xiii; label: Chapter 1
title: Introduction to Probability and Counting
pagenum: 1; label: 1.1
title: Interpreting Probabilities
pagenum: 3; label: 1.2
title: Sample Spaces and Events
pagenum: 5; title: Mutually Exclusive Events
pagenum: 9; label: 1.3
title: Permutations and Combinations
pagenum: 9; title: Counting Permutations
pagenum: 10; title: Counting Combinations
pagenum: 14; title: Permutations of Indistinguishable Objects
pagenum: 15; title: Chapter Summary
pagenum: 17; title: Exercises
pagenum: 17; title: Review Exercises
pagenum: 23; label: Chapter 2
title: Some Probability Laws
pagenum: 25; label: 2.1
title: Axioms of Probability
pagenum: 25; title: The General Addition Rule
pagenum: 26; label: 2.2
title: Conditional Probability
pagenum: 29; label: 2.3
title: Independence and the Multiplication Rule
pagenum: 30; title: The Multiplication Rule
pagenum: 34; label: 2.4
title: Bayes' Theorem
pagenum: 35; title: Chapter Summary
pagenum: 38; title: Exercises
pagenum: 38; title: Review Exercises
pagenum: 43; label: Chapter 3
title: Discrete Distributions
pagenum: 45; label: 3.1
title: Random Variables
pagenum: 45; label: 3.2
title: Discrete Probability Densities
pagenum: 46; title: Cumulative Distribution
pagenum: 49; label: 3.3
title: Expectation and Distribution Parameters
pagenum: 51; title: Variance and Standard Deviation
pagenum: 54; label: 3.4
title: Geometric Distribution and the Moment Generating Function
pagenum: 58; title: Geometric Distribution
pagenum: 59; title: Moment Generating Function
pagenum: 61; label: 3.5
title: Binomial Distribution
pagenum: 65; label: 3.6
title: Negative Binomial Distribution
pagenum: 70; label: 3.7
title: Hypergeometric Distribution
pagenum: 72; label: 3.8
title: Poisson Distribution
pagenum: 75; label: 3.9
title: Simulating a Discrete Distribution
pagenum: 78; title: Chapter Summary
pagenum: 80; title: Exercises
pagenum: 81; title: Review Exercises
pagenum: 95; label: Chapter 4
title: Continuous Distributions
pagenum: 98; label: 4.1
title: Continuous Densities
pagenum: 98; title: Cumulative Distribution
pagenum: 101; title: Uniform Distribution
pagenum: 104; label: 4.2
title: Expectation and Distribution Parameters
pagenum: 105; label: 4.3
title: Gamma, Exponential, and Chi-Squared Distribution
pagenum: 107; title: Gamma Distribution
pagenum: 109; title: Exponential Distribution
pagenum: 110; title: Chi-Squared Distribution
pagenum: 112; label: 4.4
title: Normal Distribution
pagenum: 113; title: Standard Normal Distribution
pagenum: 115; label: 4.5
title: Normal Probability Rule and Chebyshev's Inequality
pagenum: 118; label: 4.6
title: Normal Approximation to the Binomial Distribution
pagenum: 121; label: 4.7
title: Weibull Distribution and Reliability
pagenum: 123; title: Reliability
pagenum: 125; title: Reliability of Series and Parallel Systems
pagenum: 129; label: 4.8
title: Transformation of Variables
pagenum: 131; label: 4.9
title: Simulating a Continuous Distribution
pagenum: 134; title: Chapter Summary
pagenum: 134; title: Exercises
pagenum: 138; title: Review Exercises
pagenum: 153; label: Chapter 5
title: Joint Distributions
pagenum: 156; label: 5.1
title: Joint Densities and Independence
pagenum: 156; title: Marginal Distributions: Discrete
pagenum: 158; title: Joint and Marginal Distributions: Continuous
pagenum: 158; title: Independence
pagenum: 163; label: 5.2
title: Expectation and Covariance
pagenum: 164; title: Covariance
pagenum: 167; label: 5.3
title: Correlation
pagenum: 169; label: 5.4
title: Conditional Densities and Regression
pagenum: 172; title: Curves of Regression
pagenum: 174; label: 5.5
title: Transformation of Variables
pagenum: 176; title: Chapter Summary
pagenum: 180; title: Exercises
pagenum: 180; title: Review Exercises
pagenum: 188; label: Chapter 6
title: Descriptive Statistics
pagenum: 191; label: 6.1
title: Random Sampling
pagenum: 191; label: 6.2
title: Picturing the Distribution
pagenum: 194; title: Stem-and-Leaf Diagram
pagenum: 195; title: Histograms and Ogives
pagenum: 196; title: Cumulative Distribution Plots (Ogives)
pagenum: 199; label: 6.3
title: Sample Statistics
pagenum: 202; title: Location Statistics
pagenum: 203; title: Measures of Variability
pagenum: 204; label: 6.4
title: Boxplots
pagenum: 207; title: Chapter Summary
pagenum: 212; title: Exercises
pagenum: 212; title: Review Exercises
pagenum: 220; label: Chapter 7
title: Estimation
pagenum: 225; label: 7.1
title: Point Estimation
pagenum: 225; label: 7.2
title: The Method of Moments and Maximum Likelihood
pagenum: 229; title: Maximum Likelihood Estimators
pagenum: 230; label: 7.3
title: Functions of Random Variables - Distribution of X
pagenum: 233; title: Distribution of X
pagenum: 235; label: 7.4
title: Interval Estimation and the Central Limit Theorem
pagenum: 237; title: Confidence Interval on the Mean: Variance Known
pagenum: 237; title: Central Limit Theorem
pagenum: 242; title: Chapter Summary
pagenum: 243; title: Exercises
pagenum: 244; title: Review Exercises
pagenum: 254; label: Chapter 8
title: Inferences on the Mean and Variance of a Distribution
pagenum: 259; label: 8.1
title: Interval Estimation of Variability
pagenum: 260; label: 8.2
title: Estimating the Mean and the Student-t Distribution
pagenum: 262; title: The t Distribution
pagenum: 263; title: Confidence Interval on the Mean: Variance Estimated
pagenum: 266; label: 8.3
title: Hypothesis Testing
pagenum: 268; label: 8.4
title: Significance Testing
pagenum: 273; label: 8.5
title: Hypothesis and Significance Tests on the Mean
pagenum: 275; label: 8.6
title: Hypothesis Tests on the Variance
pagenum: 280; label: 8.7
title: Alternative Nonparametric Methods
pagenum: 282; title: Sign Test for Median
pagenum: 282; title: Wilcoxon Signed-Rank Test
pagenum: 285; title: Chapter Summary
pagenum: 287; title: Exercises
pagenum: 288; title: Review Exercises
pagenum: 306; label: Chapter 9
title: Inferences on Proportions
pagenum: 312; label: 9.1
title: Estimating Proportions
pagenum: 312; title: Confidence Interval on p
pagenum: 313; title: Sample Size for Estimating p
pagenum: 315; label: 9.2
title: Testing Hypotheses on a Proportion
pagenum: 317; label: 9.3
title: Comparing Two Proportions: Estimation
pagenum: 319; title: Confidence Interval on p1 - p2
pagenum: 320; label: 9.4
title: Comparing Two Proportions: Hypothesis Testing
pagenum: 322; title: Pooled Proportions
pagenum: 323; title: Chapter Summary
pagenum: 325; title: Exercises
pagenum: 326; title: Review Exercises
pagenum: 333; label: Chapter 10
title: Comparing Two Means and Two Variances
pagenum: 336; label: 10.1
title: Point Estimation: Independent Samples
pagenum: 336; label: 10.2
title: Comparing Variances: The F Distribution
pagenum: 338; label: 10.3
title: Comparing Means: Variances Equal (Pooled Test)
pagenum: 342; title: Confidence Interval on μ1 - μ2: Pooled
pagenum: 342; title: Pooled T Test
pagenum: 345; label: 10.4
title: Comparing Means: Variances Unequal
pagenum: 347; label: 10.5
title: Comparing Means: Paired Data
pagenum: 349; title: Paired T Test
pagenum: 350; label: 10.6
title: Alternative Nonparametric Methods
pagenum: 351; title: Wilcoxon Rank-Sum Test
pagenum: 352; title: Wilcoxon Signed-Rank Test for Paired Observations
pagenum: 354; label: 10.7
title: A Note on Technology
pagenum: 355; title: Chapter Summary
pagenum: 357; title: Exercises
pagenum: 358; title: Review Exercises
pagenum: 372; label: Chapter 11
title: Simple Linear Regression and Correlation
pagenum: 378; label: 11.1
title: Model and Parameter Estimation
pagenum: 380; title: Description of the Model
pagenum: 380; title: Least-Squares Estimation
pagenum: 382; label: 11.2
title: Properties of Least-Squares Estimators
pagenum: 386; title: Distribution of B1
pagenum: 388; title: Distribution of B0
pagenum: 389; title: Estimator of σ^2
pagenum: 392; title: Summary of Theoretical Results
pagenum: 393; label: 11.3
title: Confidence Interval Estimation and Hypothesis Testing
pagenum: 394; title: Inferences about Slope
pagenum: 394; title: Inferences about Intercept
pagenum: 397; title: Inferences about Estimated Mean
pagenum: 398; title: Inferences about Single Predicted Value
pagenum: 400; label: 11.4
title: Repeated Measures and Lack of Fit
pagenum: 404; label: 11.5
title: Residual Analysis
pagenum: 407; title: Residual Plots
pagenum: 408; title: Checking for Normality: Stem-and-Leaf Plots and Boxplots
pagenum: 411; label: 11.6
title: Correlation
pagenum: 418; title: Interval Estimation and Hypothesis Tests on rho
pagenum: 421; title: Coefficient of Determination
pagenum: 424; title: Chapter Summary
pagenum: 425; title: Exercises
pagenum: 426; title: Review Exercises
pagenum: 436; label: Chapter 12
title: Multiple Linear Regression Models
pagenum: 443; label: 12.1
title: Least-Squares Procedures for Model Fitting
pagenum: 443; title: Polynomial Model of Degree p
pagenum: 444; title: Multiple Linear Regression Model
pagenum: 448; label: 12.2
title: A Matrix Approach to Least Squares
pagenum: 451; title: The Normal Equations
pagenum: 453; title: Solving the Normal Equations
pagenum: 456; title: Simple Linear Regression: Matrix Formulation
pagenum: 458; title: Polynomial Model: Matrix Formulation
pagenum: 460; label: 12.3
title: Properties of the Least-Squares Estimators
pagenum: 462; title: Expected Value of β
pagenum: 464; title: Estimation of σ^2 and Variance of β
pagenum: 465; label: 12.4
title: Interval Estimation
pagenum: 469; title: Confidence Interval on Coefficients
pagenum: 469; title: Confidence Interval on Estimated Mean
pagenum: 470; title: Prediction Interval on a Single Predicted Response
pagenum: 472; label: 12.5
title: Testing Hypotheses about Model Parameters
pagenum: 472; title: Testing a Single Predictor Variable
pagenum: 473; title: Testing for Significant Regression
pagenum: 473; title: Testing a Subset of Predictor Variables
pagenum: 476; label: 12.6
title: Use of Indicator or "Dummy" Variables
pagenum: 477; label: 12.7
title: Criteria for Variable Selection
pagenum: 481; title: Forward Selection Method
pagenum: 482; title: Backward Elimination Procedure
pagenum: 483; title: Stepwise Method
pagenum: 484; title: Maximum R2 Method
pagenum: 486; title: Mallows Ck Statistic
pagenum: 486; title: PRESS Statistic
pagenum: 486; label: 12.8
title: Model Transformation and Concluding Remarks
pagenum: 492; title: Chapter Summary
pagenum: 495; title: Exercises
pagenum: 496; title: Review Exercises
pagenum: 507; label: Chapter 13
title: Analysis of Variance
pagenum: 511; label: 13.1
title: One-Way Classification Fixed-Effects Model
pagenum: 512; title: The Model
pagenum: 515; title: Testing H0
pagenum: 516; label: 13.2
title: Comparing Variances
pagenum: 522; label: 13.3
title: Pairwise Comparisons
pagenum: 524; title: Bonferroni T Tests
pagenum: 524; title: Duncan's Multiple Range Test
pagenum: 526; title: Tukey's Test
pagenum: 529; label: 13.4
title: Testing Contrasts
pagenum: 530; label: 13.5
title: Randomized Complete Block Design
pagenum: 533; title: The Model
pagenum: 535; title: Testing H0
pagenum: 539; title: Effectiveness of Blocking
pagenum: 539; title: Paired Comparisons
pagenum: 542; label: 13.6
title: Latin Squares
pagenum: 544; label: 13.7
title: Random-Effects Models
pagenum: 547; title: One-Way Classification
pagenum: 547; label: 13.8
title: Design Models in Matrix Form
pagenum: 550; label: 13.9
title: Alternative Nonparametric Methods
pagenum: 553; title: Kruskal-Wallis Test
pagenum: 553; title: Friedman Test
pagenum: 555; title: Chapter Summary
pagenum: 556; title: Exercises
pagenum: 557; title: Review Exercises
pagenum: 569; label: Chapter 14
title: Factorial Experiments
pagenum: 574; label: 14.1
title: Two-Factor Analysis of Variance
pagenum: 575; title: Testing H0
pagenum: 578; title: Paired Comparisons
pagenum: 581; title: Sample Size
pagenum: 587; label: 14.2
title: Extension to Three Factors
pagenum: 587; label: 14.3
title: Random and Mixed Model Factorial Experiments
pagenum: 587; title: Random-Effects Model
pagenum: 588; title: Mixed-Effects Model
pagenum: 590; label: 14.4
title: 2^k Factorial Experiments
pagenum: 590; title: Computational Techniques - Yates' Method
pagenum: 599; label: 14.5
title: 2^k Factorial Experiments in an Incomplete Block Design
pagenum: 601; label: 14.6
title: Fractional Factorial Experiments
pagenum: 604; title: Chapter Summary
pagenum: 609; title: Exercises
pagenum: 609; title: Review Exercises
pagenum: 621; label: Chapter 15
title: Categorical Data
pagenum: 623; label: 15.1
title: Multinomial Distribution
pagenum: 623; label: 15.2
title: Chi-Squared Goodness of Fit Tests
pagenum: 625; label: 15.3
title: Testing for Independence
pagenum: 627; title: r x c Test for Independence
pagenum: 631; label: 15.4
title: Comparing Proportions
pagenum: 633; title: r x c Test for Homogeneity
pagenum: 636; title: Comparing Proportions with Paired Data: McNemar's Test
pagenum: 638; title: Chapter Summary
pagenum: 639; title: Exercises
pagenum: 640; title: Review Exercises
pagenum: 646; label: Chapter 16
title: Statistical Quality Control
pagenum: 649; label: 16.1
title: Properties of Control Charts
pagenum: 650; title: Monitoring Means
pagenum: 651; title: Distribution of Run Lengths
pagenum: 652; label: 16.2
title: Shewhart Control Charts for Measurements
pagenum: 655; title: X Chart (Mean)
pagenum: 655; title: R Chart (Range)
pagenum: 659; label: 16.3
title: Shewhart Control Charts for Attributes
pagenum: 662; title: P Chart (Proportion Defective)
pagenum: 662; title: C Charts (Average Number of Defects)
pagenum: 665; label: 16.4
title: Tolerance Limits
pagenum: 667; title: Two-Sided Tolerance Limits
pagenum: 667; title: Assumed Normal Distribution
pagenum: 667; title: One-Sided Tolerance Limits
pagenum: 668; title: Nonparametric Tolerance Interval
pagenum: 669; label: 16.5
title: Acceptance Sampling
pagenum: 669; label: 16.6
title: Two-Stage Acceptance Sampling
pagenum: 674; label: 16.7
title: Extensions in Quality Control
pagenum: 676; title: Modifications of Control Charts
pagenum: 676; title: Parameter Design Procedures
pagenum: 677; title: Chapter Summary
pagenum: 678; title: Exercises
pagenum: 678; title: Appendixes; label: Appendix A
title: Statistical Tables
pagenum: 686; label: Appendix B
title: Answers to Selected Problems
pagenum: 725; label: Appendix C
title: Selected Derivations
pagenum: 778; title: Index
pagenum: 785