Page 10 - Applied Statistics And Probability For Engineers
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PQ220 6234F.FM 5/30/02 1:02 PM Page x RK UL 6 RK UL 6:Desktop Folder:untitled folder:
x CONTENTS
CHAPTER 5 Joint Probability CHAPTER 7 Point Estimation of
Distributions 141 Parameters 220
5-1 Two Discrete Random Variables 142 7-1 Introduction 221
5-1.1 Joint Probability 7-2 General Concepts of Point
Distributions 142 Estimation 222
5-1.2 Marginal Probability 7-2.1 Unbiased Estimators 222
Distributions 144 7-2.2 Proof that S is a Biased Estimator
5-1.3 Conditional Probability of (CD Only) 224
Distributions 146 7-2.3 Variance of a Point Estimator 224
5-1.4 Independence 148 7-2.4 Standard Error: Reporting a Point
5-2 Multiple Discrete Random Estimator 225
Variables 151 7-2.5 Bootstrap Estimate of the Standard
5-2.1 Joint Probability Error (CD Only) 226
Distributions 151 7-2.6 Mean Square Error of an
5-2.2 Multinomial Probability Estimator 226
Distribution 154 7-3 Methods of Point Estimation 229
5-3 Two Continuous Random 7-3.1 Method of Moments 229
Variables 157 7-3.2 Method of Maximum
5-3.1 Joint Probability Likelihood 230
Distributions 157 7-3.3 Bayesian Estimation of Parameters
5-3.2 Marginal Probability (CD Only) 237
Distributions 159 7-4 Sampling Distributions 238
5-3.3 Conditional Probability 7-5 Sampling Distribution of
Distributions 162 Means 239
5-3.4 Independence 164
5-4 Multiple Continuous Random
Variables 167 CHAPTER 8 Statistical Intervals
5-5 Covariance and Correlation 171 for a Single Sample 247
5-6 Bivariate Normal Distribution 177 8-1 Introduction 248
5-7 Linear Combinations of Random 8-2 Confidence Interval on the Mean of
Variables 180 a Normal Distribution, Variance
5-8 Functions of Random Variables Known 249
(CD Only) 185 8-2.1 Development of the Confidence
5-9 Moment Generating Functions Interval and Its Basic
(CD Only) 185 Properties 249
5-10 Chebyshev’s Inequality 8-2.2 Choice of Sample Size 252
(CD Only) 185 8-2.3 One-sided Confidence
Bounds 253
8-2.4 General method to Derive a
CHAPTER 6 Random Sampling Confidence Interval 253
and Data Description 189 8-2.5 A Large-Sample Confidence
Interval for 254
6-1 Data Summary and Display 190
6-2 Random Sampling 195 8-2.6 Bootstrap Confidence Intervals
(CD Only) 256
6-3 Stem-and-Leaf Diagrams 197 8-3 Confidence Interval on the Mean of a
6-4 Frequency Distributions and Normal Distribution, Variance
Histograms 203
6-5 Box Plots 207 Unknown 257
8-3.1 The t Distribution 258
6-6 Time Sequence Plots 209 8-3.2 Development of the t Distribution
6-7 Probability Plots 212 (CD Only) 259
6-8 More About Probability Plotting 8-3.3 The t Confidence Interval
(CD Only) 216 on 259
