Statistical InferenceUnified treatment of probability and statistics examines and analyzes the relationship between the two fields, exploring inferential issues. Numerous problems, examples, and diagrams--some with solutions--plus clear-cut, highlighted summaries of results. Advanced undergraduate to graduate level. Contents: 1. Introduction. 2. Probability Model. 3. Probability Distributions. 4. Introduction to Statistical Inference. 5. More on Mathematical Expectation. 6. Some Discrete Models. 7. Some Continuous Models. 8. Functions of Random Variables and Random Vectors. 9. Large-Sample Theory. 10. General Methods of Point and Interval Estimation. 11. Testing Hypotheses. 12. Analysis of Categorical Data. 13. Analysis of Variance: k-Sample Problems. Appendix-Tables. Answers to Odd-Numbered Problems. Index. Unabridged republication of the edition published by John Wiley & Sons, New York, 1984. 144 Figures. 35 Tables. Errata list prepared by the author |
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alternative apply approximation assigned assume average binomial called choose coin compute conditional confidence interval consider consistent contains continuous defective defined density function depends discrete distribution function equal error estimate Example expected experiment Figure Find first five four frequency given gives heads Hence hypothesis independent integral joint known least length Let X Let X1 likelihood marginal maximum measure median method normal distribution null observed obtained otherwise P-value parameters particular percent confidence Poisson population possible probability function Problem proportion random sample random variable randomly rank recorded region reject Remark replacement respectively sample mean selected Show statistic success sufficient Suppose Table taken Theorem tossed trials true unbiased estimate uniform distribution unknown variance weight zero elsewhere