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Miller and Freund's Probability and Statistics for Engineers,9780131437456
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Miller and Freund's Probability and Statistics for Engineers

by ; ;
Edition:
8th
ISBN13:

9780131437456

ISBN10:
0131437453
Format:
Hardcover
Pub. Date:
1/1/2011
Publisher(s):
Prentice Hall

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Summary

This example and exercise-rich exploration of both elementary probability and basic statistics places a strong emphasis on engineering and science applications, many using data collected from the author's consulting experience. In later chapters, there is an emphasis on designed experiments, especially two-level factorial design.Includes a vast, rich collection of problem sets, current coverage of two-level factorial design, curve fitting, and case studies in the first two chapters.For those who are interested in Probability and Statistics or Applied Statistics for engineering, physical science, and mathematics.

Table of Contents

Preface x
1 Introduction
1(12)
1.1 Why Study Statistics?
1(1)
1.2 Modern Statistics
2(1)
1.3 Statistics and Engineering
3(1)
1.4 The Role of the Scientist and Engineer in Quality Improvement
3(1)
1.5 A Case Study: Visually Inspecting Data to Improve Product Quality
4(2)
1.6 Two Basic Concepts-Population and Sample
6(7)
Do's and Don'ts
10(1)
Review Exercises
10(3)
2 Treatment of Data
13(40)
2.1 Pareto Diagrams and Dot Diagrams
13(3)
2.2 Frequency Distributions
16(3)
2.3 Graphs of Frequency Distributions
19(3)
2.4 Stem-and-leaf Displays
22(6)
2.5 Descriptive Measures
28(5)
2.6 Quartiles and Percentiles
33(5)
2.7 The Calculation of -x and s
38(7)
2.8 A Case Study: Problems with Aggregating Data
45(8)
Do's and Don'ts
48(1)
Review Exercises
48(5)
3 Probability
53(48)
3.1 Sample Spaces and Events
53(5)
3.2 Counting
58(7)
3.3 Probability
65(2)
3.4 The Axioms of Probability
67(3)
3.5 Some Elementary Theorems
70(8)
3.6 Conditional Probability
78(7)
3.7 Bayes' Theorem
85(6)
3.8 Mathematical Expectation and Decision Making
91(10)
Do's and Don'ts
96(1)
Review Exercises
97(4)
4 Probability Distributions
101(45)
4.1 Random Variables
101(3)
4.2 The Binomial Distribution
104(6)
4.3 The Hypergeometric Distribution
110(5)
4.4 The Mean and the Variance of a Probability Distribution
115(7)
4.5 Chebyshev's Theorem
122(5)
4.6 The Poisson Approximation to the Binomial Distribution
127(3)
4.7 Poisson Processes
130(3)
4.8 The Geometric Distribution
133(3)
4.9 The Multinomial Distribution
136(2)
4.10 Simulation
138(8)
Do's and Don'ts
141(1)
Review Exercises
142(4)
5 Probability Densities
146(57)
5.1 Continuous Random Variables
146(7)
5.2 The Normal Distribution
153(7)
5.3 The Normal Approximation to the Binomial Distribution
160(5)
5.4 Other Probability Densities
165(1)
5.5 The Uniform Distribution
165(1)
5.6 The Log-Normal Distribution
166(3)
5.7 The Gamma Distribution
169(2)
5.8 The Beta Distribution
171(2)
5.9 The Weibull Distribution
173(3)
5.10 Joint Distributions-Discrete and Continuous
176(14)
5.11 Checking if the Data Are Normal
190(3)
5.12 Transforming Observations to Near Normality
193(2)
5.13 Simulation
195(4)
Do's and Don'ts
199(1)
Review Exercises
200(3)
6 Sampling Distributions
203(23)
6.1 Populations and Samples
203(4)
6.2 The Sampling Distribution of the Mean (σ known)
207(9)
6.3 The Sampling Distribution of the Mean (σ unknown)
216(2)
6.4 The Sampling Distribution of the Variance
218(8)
Do's and Don'ts
222(1)
Review Exercises
223(3)
7 Inferences Concerning Means
226(55)
7.1 Point Estimation
226(5)
7.2 Interval Estimation
231(7)
7.3 Tests of Hypotheses
238(2)
7.4 Null Hypotheses and Tests of Hypotheses
240(6)
7.5 Hypotheses Concerning One Mean
246(5)
7.6 The Relation Between Tests and Confidence Intervals
251(1)
7.7 Operating Characteristic Curves
252(8)
7.8 Inference Concerning Two Means
260(12)
7.9 Design Issues-Randomization and Pairing
272(9)
Do's and Don'ts
274(2)
Review Exercises
276(5)
8 Inferences Concerning Variances
281(11)
8.1 The Estimation of Variances
281(3)
8.2 Hypotheses Concerning One Variance
284(2)
8.3 Hypotheses Concerning Two Variances
286(6)
Do's and Don'ts
290(1)
Review Exercises
290(2)
9 Inferences Concerning Proportions
292(28)
9.1 Estimation of Proportions
292(6)
9.2 Hypotheses Concerning One Proportion
298(2)
9.3 Hypotheses Concerning Several Proportions
300(8)
9.4 Analysis of r x c Tables
308(3)
9.5 Goodness of Fit
311(9)
Do's and Don'ts
316(1)
Review Exercises
317(3)
10 Nonparametric Tests 320(17)
10.1 Introduction
320(1)
10.2 The Sign Test
321(1)
10.3 Rank-Sum Tests
322(6)
10.4 Tests of Randomness
328(3)
10.5 The Kolmogorov-Smirnov and Anderson-Darling Tests
331(13)
Do's and Don'ts
334(1)
Review Exercises
335(2)
11.1 The Method of Least Squares 337(60)
11.2 Inferences Based on the Least Squares Estimators
344(14)
11.3 Curvilinear Regression
358(5)
11.4 Multiple Regression
363(4)
11.5 Checking the Adequacy of the Model
367(7)
11.6 Correlation
374(13)
11.7 Multiple Linear Regression (Matrix Notation)
387(10)
Do's and Don'ts
391(1)
Review Exercises
392(5)
12 Analysis of Variance 397(53)
12.1 Some General Principles
397(3)
12.2 Completely Randomized Designs
400(17)
12.3 Randomized-Block Designs
417(8)
12.4 Multiple Comparisons
425(6)
12.5 Some Further Experimental Designs
431(8)
12.6 Analysis of Covariance
439(11)
Do's and don'ts
445(1)
Review Exercises
445(5)
13 Factorial Experimentation 450(60)
13.1 Two-Factor Experiments
450(9)
13.2 Multifactor Experiments
459(11)
13.3 2n Factorial Experiments
470(8)
13.4 The Graphic Presentation of 2 and 2 Experiments
478(16)
13.5 Confounding in a 2n Factorial Experiment
494(4)
13.6 Fractional Replication
498(12)
Do's and Don'ts
504(1)
Review Exercises
504(6)
14 The Statistical Content of Quality-Improvement Programs 510(39)
14.1 Quality-Improvement Programs
510(3)
14.2 Starting a Quality-Improvement Program
513(2)
14.3 Experimental Designs for Quality
515(3)
14.4 Quality Control
518(2)
14.5 Control Charts for Measurements
520(6)
14.6 Control Charts for Attributes
526(6)
14.7 Tolerance Limits
532(3)
14.8 Acceptance Sampling
535(14)
Do's and Don'ts
544(1)
Review Exercises
545(4)
15 Application to Reliability and Life Testing 549(24)
15.1 Reliability
549(3)
15.2 Failure-Time Distribution
552(2)
15.3 The Exponential Model in Reliability
554(4)
15.4 The Exponential Model in Life Testing
558(4)
15.5 The Weibull Model in Life Testing
562(47)
Do's and Don'ts
568(1)
Review Exercises
568(5)
Appendix A Bibliography 573(2)
Appendix B Statistical Tables 575(34)
Appendix C Using the R Software Program 609(6)
Introduction to R
609(1)
Entering Data
609(1)
Arithmetic Operations
610(1)
Descriptive Statistics
611(1)
Probability Distributions
611(1)
Normal Probability Calculations
611(1)
Sampling Distributions
612(1)
Confidence Intervals and Tests of Means
612(1)
Inference About Proportions
612(1)
Regression
613(1)
One-way Analysis of Variance (ANOVA)
613(2)
Appendix D Answers to Odd-Numbered Exercises 615(20)
Index 635


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