دانلود کتاب Probability and Statistical Inference

فهرست مطالب :

Cover......Page 1
Title......Page 2
Copyright......Page 3
Contents......Page 4
Preface......Page 6
Prologue......Page 8
1.1 Properties of Probability......Page 10
1.2 Methods of Enumeration......Page 20
1.3 Conditional Probability......Page 29
1.4 Independent Events......Page 38
1.5 Bayes’ Theorem......Page 44
2.1 Random Variables of the Discrete Type......Page 50
2.2 Mathematical Expectation......Page 58
2.3 Special Mathematical Expectations......Page 65
2.4 The Binomial Distribution......Page 74
2.5 The Negative Binomial Distribution......Page 83
2.6 The Poisson Distribution......Page 88
3.1 Random Variables of the Continuous Type......Page 96
3.2 The Exponential, Gamma, and Chi-Square Distributions......Page 104
3.3 The Normal Distribution......Page 114
3.4* Additional Models......Page 123
4.1 Bivariate Distributions of the Discrete Type......Page 134
4.2 The Correlation Coefficient......Page 143
4.3 Conditional Distributions......Page 149
4.4 Bivariate Distributions of the ContinuousType......Page 155
4.5 The Bivariate Normal Distribution......Page 164
5.1 Functions of One Random Variable......Page 172
5.2 Transformations of Two Random Variables......Page 180
5.3 Several Random Variables......Page 189
5.4 The Moment-Generating Function Technique......Page 196
5.5 Random Functions Associated with Normal Distributions......Page 201
5.6 The Central Limit Theorem......Page 209
5.7 Approximations for Discrete Distributions......Page 215
5.8 Chebyshev’s Inequality and Convergence in Probability......Page 222
5.9 Limiting Moment-Generating Functions......Page 226
6.1 Descriptive Statistics......Page 234
6.2 Exploratory Data Analysis......Page 247
6.3 Order Statistics......Page 257
6.4 Maximum Likelihood Estimation......Page 265
6.5 A Simple Regression Problem......Page 276
6.6* Asymptotic Distributions of Maximum Likelihood Estimators......Page 284
6.7 Sufficient Statistics......Page 289
6.8 Bayesian Estimation......Page 297
6.9* More Bayesian Concepts......Page 303
7.1 Confidence Intervals for Means......Page 310
7.2 Confidence Intervals for the Difference of Two Means......Page 317
7.3 Confidence Intervals for Proportions......Page 327
7.4 Sample Size......Page 333
7.5 Distribution-Free Confidence Intervals for Percentiles......Page 340
7.6* More Regression......Page 347
7.7* Resampling Methods......Page 356
8.1 Tests About One Mean......Page 364
8.2 Tests of the Equality of Two Means......Page 374
8.3 Tests About Proportions......Page 382
8.4 The Wilcoxon Tests......Page 390
8.5 Power of a Statistical Test......Page 401
8.6 Best Critical Regions......Page 408
8.7* Likelihood Ratio Tests......Page 415
9.1 Chi-Square Goodness-of-Fit Tests......Page 424
9.2 Contingency Tables......Page 433
9.3 One-Factor Analysis of Variance......Page 444
9.4 Two-Way Analysis of Variance......Page 454
9.5* General Factorial and 2k Factorial Designs......Page 464
9.6* Tests Concerning Regression and Correlation......Page 471
9.7* Statistical Quality Control......Page 476
Epilogue......Page 488
A References......Page 490
B Tables......Page 492
C Answers to Odd-Numbered Exercises......Page 518
D.1 Algebra of Sets......Page 530
D.2 Mathematical Tools for the Hypergeometric Distribution......Page 534
D.3 Limits......Page 537
D.4 Infinite Series......Page 538
D.5 Integration......Page 542
D.6 Multivariate Calculus......Page 544
D......Page 550
M......Page 551
S......Page 552
Y......Page 553