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Student's Solutions Manual for An Introduction to Mathematical Statistics and Its Applications Introduction to Mathematical Statistics and Its Applications, An, 6th edition Richard J. Pearson - Instructor's Solutions Manual Download Only. Solutions Manual to Introduction to Mathematical Statistics Sixth Edition Robert V.
Chapter 1
Probability And Distributions
1-2 | Set Theory | Exercises | p.8 |
1-3 | The Probability Set Function | Exercises | p.18 |
1-4 | Conditional Probability and Independence | Exercises | p.27 |
1-5 | Random Variables | Exercises | p.38 |
1-6 | Discrete Random Variables | Exercises | p.43 |
1-7 | Continuous Random Variables | Exercises | p.50 |
1-8 | Expectation of a Random Variable | Exercises | p.56 |
1-9 | Some Special Expectations | Exercises | p.64 |
1-10 | Important Inequalities | Exercises | p.72 |
Chapter 2
Multivariate Distributions
2-1 | Distributions of Two Random Variables | Exercises | p.82 |
2-2 | Transformations: Bivariate Variables | Exercises | p.92 |
2-3 | Conditional Distributions and Expectations | Exercises | p.100 |
2-4 | The Correlation Coefficient | Exercises | p.108 |
2-5 | Independent Random Variables | Exercises | p.116 |
2-6 | Extension to Several Random Variables | Exercises | p.125 |
2-7 | Transformations for Several Variables | Exercises | p.133 |
2-8 | Linear Combinations of Random Variables | Exercises | p.135 |
Chapter 3
Some Special Distributions
3-1 | The Binomial and Related Distributions | Exercises | p.146 |
3-2 | The Poisson Distribution | Exercises | p.154 |
3-3 | The Γ, χ2, and β Distributions | Exercises | p.164 |
3-4 | The Normal Distributions | Exercises | p.175 |
3-5 | The Multivariate Normal Distributions | Exercises | p.186 |
3-6 | t- and F-Distributions | Exercises | p.195 |
3-7 | Mixtures Distributions | Exercises | p.201 |
Chapter 4
Some Elementary Statistical Inferences
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4-1 | Sampling and Statistics | Exercises | p.212 |
4-2 | Confidence Intervals | Exercises | p.219 |
4-3 | Confidence Intervals for Parameters of Discrete Distributions | Exercises | p.226 |
4-4 | Order Statistics | Exercises | p.235 |
4-5 | Introduction to Hypothesis Testing | Exercises | p.246 |
4-6 | Additional Comments About Statistical Tests | Exercises | p.253 |
4-7 | Chi-Square Tests | Exercises | p.259 |
4-8 | The Method of Monte Carlo | Exercises | p.270 |
4-9 | Bootstrap Procedures | Exercises | p.281 |
4-10 | Tolerance Limits for Distributions | Exercises | p.287 |
Chapter 5
Consistency And Limiting Distributions
5-1 | Convergence in Probability | Exercises | p.293 |
5-2 | Convergence in Distributions | Exercises | p.305 |
5-3 | Central Limit Theorem | Exercises | p.313 |
5-4 | Extensions to Multivariate Distributions | Exercises | p.318 |
Chapter 6
Maximum Likelihood Methods
6-1 | Maximum Likelihood Estimation | Exercises | p.326 |
6-2 | Rao-Cramer Lower Bound and Efficiency | Exercises | p.339 |
6-3 | Maximum Likelihood Tests | Exercises | p.347 |
6-4 | Multiparameter Case: Estimation | Exercises | p.358 |
6-5 | Multiparameter Case: Testing | Exercises | p.364 |
6-6 | The EM Algorithm | Exercises | p.372 |
Chapter 7
Sufficiency
7-1 | Measures of Quality of Estimators | Exercises | p.379 |
7-2 | A Sufficient Statistic for a Parameter | Exercises | p.387 |
7-3 | Properties of a Sufficient Statistic | Exercises | p.392 |
7-4 | Completeness and Uniqueness | Exercises | p.395 |
7-5 | The Exponential Class of Distributions | Exercises | p.400 |
7-6 | Functions of a Parameter | Exercises | p.406 |
7-7 | The Case of Several Parameters | Exercises | p.413 |
7-8 | Minimal Sufficiency and Ancillary Statistics | Exercises | p.420 |
7-9 | Sufficiency, Completeness, and Independence | Exercises | p.425 |
Chapter 8
Optimal Tests Of Hypotheses
8-1 | Most Powerful Tests | Exercises | p.438 |
8-2 | Uniformly Most Powerful Tests | Exercises | p.445 |
8-3 | Likelihood Ratio Test | Exercises | p.456 |
8-4 | The Sequential Probability Ratio Test | Exercises | p.465 |
8-5 | Minimax and Classification Procedures | Exercises | p.471 |
Chapter 9
Inferences About Normal Models
9-1 | Quadratic Forms | Exercises | p.477 |
9-2 | One-Way ANOVA | Exercises | p.482 |
9-3 | Noncentral χ2 and F-Distributions | Exercises | p.486 |
9-4 | Multiple Comparisons | Exercises | p.490 |
9-5 | The Analysis of Variance | Exercises | p.495 |
9-6 | A Regression Problem | Exercises | p.502 |
9-7 | A Test of Independence | Exercises | p.509 |
9-8 | The Distributions of Certain Quadratic Forms | Exercises | p.514 |
9-9 | The Independence of Certain Quadratic Forms | Exercises | p.521 |
Chapter 10
Nonparametric And Robust Statistics
10-1 | Location Models | Exercises | p.528 |
10-2 | Sample Median and the Sign Test | Exercises | p.540 |
10-3 | Signed-Rank Wilcoxon | Exercises | p.550 |
10-4 | Mann-Whitney-Wilcoxon Procedure | Exercises | p.558 |
10-5 | General Rank Scores | Exercises | p.568 |
10-6 | Adaptive Procedures | Exercises | p.575 |
10-7 | Simple Linear Model | Exercises | p.581 |
10-8 | Measures of Association | Exercises | p.586 |
10-9 | Robust Concepts | Exercises | p.600 |
Chapter 11
Bayesian Statistics
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11-1 | Subjective Probability | Exercises | p.607 |
11-2 | Bayesian Procedures | Exercises | p.618 |
11-3 | More Bayesian Terminology and Ideas | Exercises | p.623 |
11-4 | Gibbs Sampler | Exercises | p.630 |
11-5 | Modern Bayesian Methods | Exercises | p.637 |
Chapter Appendix A
Mathematical Comments
A-2 | Sequences | Exercises | p.644 |
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