书名:Probability and Statistics for Engineering and the Sciences,
作者:JAY L. DEVORE
California Polytechnic State University, San Luis Obispo
Library of Congress Control Number: 2006932557
Student Edition:
ISBN-13: 978-0-495-55744-9
ISBN-10: 0-495-55744-
Contents
1 Overview and Descriptive Statistics
Introduction 1
1.1 Populations, Samples, and Processes 2
1.2 Pictorial and Tabular Methods in Descriptive Statistics 10
1.3 Measures of Location 24
1.4 Measures of Variability 31
Supplementary Exercises 42
Bibliography 45
2 Probability
Introduction 46
2.1 Sample Spaces and Events 47
2.2 Axioms, Interpretations, and Properties of Probability 51
2.3 Counting Techniques 59
2.4 Conditional Probability 67
2.5 Independence 76
Supplementary Exercises 82
Bibliography 85
Introduction 86
3.1 Random Variables 87
3.2 Probability Distributions for Discrete Random Variables 90
3.3 Expected Values 100
3.4 The Binomial Probability Distribution 108
3.5 Hypergeometric and Negative Binomial Distributions 116
3.6 The Poisson Probability Distribution 121
Supplementary Exercises 126
Bibliography 129
Introduction 130
4.1 Probability Density Functions 131
4.2 Cumulative Distribution Functions and Expected Values 136
4.3 The Normal Distribution 144
4.4 The Exponential and Gamma Distributions 157
4.5 Other Continuous Distributions 163
4.6 Probability Plots 170
Supplementary Exercises 179
Bibliography 183
Introduction 184
5.1 Jointly Distributed Random Variables 185
5.2 Expected Values, Covariance, and Correlation 196
5.3 Statistics and Their Distributions 202
5.4 The Distribution of the Sample Mean 213
5.5 The Distribution of a Linear Combination 219
Supplementary Exercises 224
Bibliography 226
6 Point Estimation
7 Statistical Intervals Based on a Single Sample
Introduction 227
6.1 Some General Concepts of Point Estimation 228
6.2 Methods of Point Estimation 243
Supplementary Exercises 252
Bibliography 253
Introduction 254
7.1 Basic Properties of Confidence Intervals 255
7.2 Large-Sample Confidence Intervals for a Population Mean
and Proportion 263
4 Continuous Random Variables
and Probability Distributions
5 Joint Probability Distributions
and Random Samples
.........
14.2 Goodness-of-Fit Tests for Composite Hypotheses 576
14.3 Two-Way Contingency Tables 587
Supplementary Exercises 595
Bibliography 598
15 Distribution-Free Procedures
Introduction 599
15.1 The Wilcoxon Signed-Rank Test 600
15.2 The Wilcoxon Rank-Sum Test 608
15.3 Distribution-Free Confidence Intervals 614
15.4 Distribution-Free ANOVA 618
Supplementary Exercises 622
Bibliography 624
16 Quality Control Methods
Introduction 625
16.1 General Comments on Control Charts 626
16.2 Control Charts for Process Location 627
16.3 Control Charts for Process Variation 637
16.4 Control Charts for Attributes 641
16.5 CUSUM Procedures 646
16.6 Acceptance Sampling 654
Supplementary Exercises 660
Bibliography 661
Appendix Tables
A.1 Cumulative Binomial Probabilities 664
A.2 Cumulative Poisson Probabilities 666
A.3 Standard Normal Curve Areas 668
A.4 The Incomplete Gamma Function 670
A.5 Critical Values for t Distributions 671
A.6 Tolerance Critical Values for Normal Population Distributions 672
A.7 Critical Values for Chi-Squared Distributions 673
A.8 t Curve Tail Areas 674
A.9 Critical Values for F Distributions 676
A.10 Critical Values for Studentized Range Distributions 682
Contents xi