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概率论与数理统计(影印版.第5版)
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原书名:Probability and Statistics for Engineering and the Sciences
原出版社:Brooks/Cole Publishing Company
作者:
(美)德沃尔(Jay L.Devore)
出版社:
高等教育出版社
译者:
丛书名:
海外优秀数学教材系列丛书
出版日期:2004-11-1
上架日期:2005-10-8
ISBN:7040155605
页数: 版次:5-1
开本:16开
装帧:
附带光盘
市场价:
¥58.00
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内容简介
本教材具有以下特点:(1)基本上是近3年出版的,在国际上被广泛使用,在同类教材中具有相当的权威性;(2)高版次,历经多年教学实践检验,内容翔实准确、反映时代要求;(3)各种教学资源配套整齐,为师生提供了极大的便利;(4)插图精美、丰富,图文并茂,与正文相辅相成;(5)语言简练、流畅、可读性强,比较适合非英语国家的学生阅读。
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1 Overview and Descriptive Statistics 1 Introduction 1 1.1 Populations, Samples, and Processes 3 1.2 Pictorial and Tabular Methods in Descriptive Statistics 11 1.3 Measures of Location 28 1.4 Measures of Variability 36 Supplementary Exercises 48 Bibliography 51 2 Probability 52 Introduction 52 2.1 Sample Spaces and Events 53 2.2 Axioms, Interpretations, and Properties of Probability 58 2.3 Counting Techniques 67 2.4 Conditional Probability 75 2.5 Independence 86 Supplementary Exercises 92 Bibliography 95 3 Discrete Random Variables and Probability Distributions 96 Introduction 96 3.1 Random Variables 96 3.2 Probability Distributions for Discrete Random Variables 100 3.3 Expected Values of Discrete Random Variables 110 3.4 The Binomial Probability Distribution 119 3.5 Hypergeometric and Negative Binomial Distributions 127 3.6 The Poisson Probability Distribution 134 Supplementary Exercises 139 Bibliography 142 4 Continuous Random Variables and Probability Distributions 143 Introduction 143 4.1 Continuous Random Variables and Probability Density Functions 143 4.2 Cumulative Distribution Functions and Expected Values 149 4.3 The Normal Distribution 158 4.4 The Gamma Distribution and Its Relatives 171 4.5 Other Continuous Distributions 178 4.6 Probability Plots 185 Supplementary Exercises 196 Bibliography 200 5 Joint Probability Distributions and Random Samples 201 Introduction 201 5.1 Jointly Distributed Random Variables 202 5.2 Expected Values, Covariance, and Correlation 215 5.3 Statistics and Their Distributions 221 5.4 The Distribution of the Sample Mean 233 5.5 The Distribution of a Linear Combination 239 Supplementary Exercises 245 Bibliography 248 6 Point Estimation 249 Introduction 249 6.1 Some General Concepts of Point Estimation 250 6.2 Methods of Point Estimation 265 Supplementary Exercises 274 Bibliography 275 7 Statistical Intervals Based on a Single Sample 277 Introduction 277 7.1 Basic Properties of Confidence Intervals 278 7.2 Large-Sample Confidence Intervals for a Population Mean and Proportion 287 7.3 Intervals Based on a Normal Population Distribution 295 7.4 Confidence Intervals for the Variance and Standard Deviation of a Normal Population 304 Supplementary Exercises 307 Bibliography 309 8 Tests of Hypotheses Based on a Single Sample 310 Introduction 310 8.1 Hypotheses and Test Procedures 311 8.2 Tests About a Population Mean 321 8.3 Tests Concerning a Population Proportion 334 8.4 P-Values 339 8.5 Some Comments on Selecting a Test Procedure 347 Supplementary Exercises 350 Bibliography 353 9 Inferences Based on Two Samples 354 Introduction 354 9.1 z Tests and Confidence Intervals for a Difference Between Two Population Means 355 9.2 The Two-Sample t Test and Confidence Interval 366 9.3 Analysis of Paired Data 374 9.4 Inferences Concerning a Difference Between Population Proportions 384 9.5 Inferences Concerning Two Population Variances 392 Supplementary Exercises 396 Bibliography 401 10 The Analysis of Variance 402 Introduction 402 10.1 Single-Factor ANOVA 403 10.2 Multiple Comparisons in ANOVA 414 10.3 More on Single-Factor ANOVA 420 Supplementary Exercises 430 Bibliography 432 11 Multifactor Analysis of Variance 433 Introduction 433 11.1 Two-Factor ANOVA with Kij = 1 434 11.2 Two-Factor ANOVA with Kij > 1 448 11.3 Three-Factor ANOVA 457 11.4 2p Factorial Experiments 468 Supplementary Exercises 483 Bibliography 486 12 Simple Linear Regression and Correlation 488 Introduction 488 12.1 The Simple Linear Regression Model 489 12.2 Estimating Model Parameters 497 12.3 Inferences About the Slope Parameter B1 512 12.4 Inferences Concerning uY.x and the Prediction of Future Y Values 520 12.5 Correlation 528 Supplementary Exercises 538 Bibliography 542 13 Nonlinear and Multiple Regression 543 Introduction 543 13.1 Aptness of the Model and Model Checking 544 13.2 Regression with Transformed Variables 552 13.3 Polynomial Regression 562 13.4 Multiple Regression Analysis 573 13.5 Other Issues in Multiple Regression 597 Supplementary Exercises 610 Bibliography 615 14 The Analysis of Categorical Data 616 Introduction 616 14.1 Goodness-of-Fit Tests When Category Probabilities Are Completely Specified 617 14.2 Goodness of Fit for Composite Hypotheses 625 14.3 Two-Way Contingency Tables 638 Supplementary Exercises 646 Bibliography 648 15 Distribution-Free Procedures 649 Introduction 649 15.1 The Wilcoxon Signed-Rank Test 650 15.2 The Wilcoxon Rank-Sum Test 659 15.3 Distribution-Free Confidence Intervals 666 15.4 Distribution-Free ANOVA 671 Supplementary Exercises 675 Bibliography 677 16 Quality Control Methods 678 Introduction 678 16.1 General Comments on Control Charts 679 16.2 Control Charts for Process Location 681 16.3 Control Charts for Process Variation 690 16.4 Control Charts for Attributes 695 16.5 CUSUM Procedures 700 16.6 Acceptance Sampling 709 Supplementary Exercises 715 Bibliography 716 Appendix Tables 717 A.1 Cumulative Binomial Probabilities 718 A.2 Cumulative Poisson Probabilities 720 A.3 Standard Normal Curve Areas 722 A.4 The Incomplete Gamma Function 724 A.5 Critical Values for t Distributions 725 A.6 Tolerance Critical Values for Normal Population Distributions 726 A.7 Critical Values for Chi-Squared Distributions 727 A.8 t Curve Tail Areas 728 A.9 Critical Values for F Distributions 730 A. 10 Critical Values for Studentized Range Distributions 736 A. 11 Chi-Squared Curve Tail Areas 737 A. 12 Critical Values for the Ryan-Joiner Test of Normality 739 A. 13 Critical Values for the Wilcoxon Signed-Rank Test 740 A. 14 Critical Values for the Wilcoxon Rank-Sum Test 741 A. 15 Critical Values for the Wilcoxon Signed-Rank Interval 742 A. 16 Critical Values for the Wilcoxon Rank-Sum Interval 743 A. 17 Curves for t Tests 744 Answers to Odd-Numbered Exercises 745 Index 765
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