Introduction To The Theory Of Statistics

0.0

Key Features The book is designed to be used in either the quarter system or the semester system. In a quarter system, Chaps. I through V could be covered in the first quarter, Chaps. VI through Part of VIII the second quarter, and the rest of the book the third quarter. In a semester system, Chaps. I through VI could be covered the first semester and the remaining chapters the second semester. Several sections or subsections can be omitted without disruptiing the continuity of presentation. The many problems are intended to be essential for learning the material in the book. Some of the more difficult problems have been starred. About The Author ALEXANDER M. MOOD professor of Administration and Director of public policy Research Organization University of California,Irvine FRANKLIN A GRAYBILL Department of statistics Colorado site University fort collins, colorado DUANE C.BOES Department of statistics colorado state University Fort Collins, colorado Table Of Contents PART I: PROBABILITY Preface to the Third Edition Excerpts from the First and Second Edition Prefaces Chapter 1. Introduction and Summary Chapter 2. Kinds of Probability Chapter 3. Probability-Axiomatic PART II: RANDOM VARIABLES, DISTRIBUTION FUNCTIONS, AND EXPECTATION Chapter 1. Introduction and Summary Chapter 2. Random Variable and Cumulative Distribution Function Chapter 3. Density Functions Chapter 4. Expectations and Moments PART III: SPECIAL PARAMETRIC FAMILITES OF UNIVARIATE DISTRIBUTIONS Chapter 1. Introduction and Summary Chapter 2. Discrete Distributions Chapter 3. Continuous Distributions Chapter 4. Comments PART IV. JOINT AND CONDITIONAL DISTRIBUTIONS, STOCHASTIC INDEPENDENCE,MORE EXCEPTION Chapter 1. Introduction and Summary Chapter 2. Joint Distibution Functions Chapter 3. Conditional Distributions and Stochastic Independence Chapter 4. Expectation Chapter 5. Bivariate Normal Distribution PART V: DISTRIBUTIONS OF FUNCTIONS AND RANDOM VARIABLES Chapter 1. Introduction and Summary Chapter 2. Expectations of Functions of Random Variables Chatper 3. Cumulative-Distribution-Function Technique Chapter 4. Moment-Generating-Function Technique Chapter 5. The Transformation Y=g(x) Chapter 6. Transformations PART VI: SAMPLING AND SAMPLING DISTRIBUTIONS Chapter 1. Introduction and Summary Chapter 2. Sampling Chapter 3. Sample Mean Chapter 4. Sampling from the Normal Distributions Chapter 5. Order Statistics PART VII: PARAMETRIC POINT ESTIMATION Chapter 1. Introduction and Summary Chapter 2. Methods of Finding Estimators Chapter 3. Properties of Point Estimators Chapter 4. Sufficiency Chapter 5. Unbiased Estimation Chapter 6. Location or Scale Invariance Chapter 7. Bayes Estimators Chapter 8. Vector of Parameters Chapter 9. Optimum Properties of Maximum-likelihood Estimation PART VIII: Parametric Interval Estimation Chapter 1. Introduction and Summary Chapter 2. Confidence Intervals Chapter 3. Sampling from the Normal Distribution Chapter 4. Methods of Finding Confidence Intervals Chapter 5. Large-Sample Confidence Intervals Chapter 6. Bayesian Interval Estimates PART IX: TESTS OF HYPOTHESES Chapter 1. Introduction and Summary Chapter 2. Simple Hypothesis versus Simple Alternative Chapter 3. Composite Hypotheses Chapter 4. Tests of Hypotheses-Sampling from the National Distribution Chapter 5. Chi-Square Tests Chapter 6. Tests of Hypotheses and Confidence Intervals Chapter 7. Sequential Tests of Hypotheses PART X: LINEAR MODELS Chapter 1. Introduction and Summary Chapter 2. Examples of the Linear Model Chapter 3. Definition of Linear Model Chapter 4. Point Estimation-Case A Chapter 5. Confidence Intervals-Case A Chapter 6. Tests of Hypotheses-Case A Chapter 7. Point Estimation-Case B PART XI: NONPARAMETRIC METHOD Chapter 1. Introduction and Summary Chapter 2. Inferences Concerning a Cumulative Distribution Function Chapter 3. Inferences Concerning Quantiles Chapter 4. Tolerance Limits Chapter 5. Equality of Two Distributions APPENDIX A. MATHEMATICAL ADDENDUM chapter 1. Introduction Chapter 2. Noncalculus Chapter 3. Calculus APPENDIX B. TABULAR SUMMARY OF PARAMETRIC FAMILIES OF DISTRIBUTIONS chapter 1. Introduction APPENDIX C. REFERENCES AND RELATED READING APPENDIX D. TABLES chapter 1. Discription of Tables Index