Statistical inference

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Dades bibliogràfiques
Autor principal: Casella, George (Autor)
Format: Llibre
Idioma:anglès
Publicat: Pacific Grove, CA., USA. Wadsworth Group, 2002
Edició:2nd. ed
Matèries:
Accés en línia:Disponible Online
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505 |a 1.Probability Theory. Set Theory Probability Theory Conditional Probability and Independence Random Variables Distribution Functions Density and Mass Functions Exercises Miscellanea 2.Transformations and Expectations. Distribution of Functions of a Random Variable Expected Values Moments and Moment Generating Functions Differentiating Under an Integral Sign Exercises Miscellanea 3. Common Families of Distributions. Introductions Discrete Distributions Continuous Distributions Exponential Families Locations and Scale Families Inequalities and Identities Exercises Miscellanea 4. Multiple Random Variables. Joint and Marginal Distributions Conditional Distributions and Independence Bivariate Transformations Hierarchical Models and Mixture Distributions Covariance and Correlation Multivariate Distributions Inequalities Exercises Miscellanea 5. Properties of a Random Sample Basic Concepts of Random Samples Sums of Random Variables from a Random Sample Sampling for the Normal Distribution Order Statistics Convergence Concepts Generating a Random Sample Exercises Miscellanea 6. Principles of Data Reduction Introduction The Sufficiency Principle The Likelihood Principle The Equivariance Principle Exercises Miscellanea 7. Point Estimation. Introduction Methods of Finding Estimators Methods of Evaluating Estimators Exercises Miscellanea 8. Hypothesis Testing. Introduction Methods of Finding Tests Methods of Evaluating Test Exercises Miscellanea 9. Interval Estimation. Introduction Methods of Finding Interval Estimators Methods of Evaluating Interval Estimators Exercises Miscellanea 10. Asymptotic Evaluations. Point Estimation Robustness Hypothesis Testing Interval Estimation Exercises Miscellanea 11. Analysis of Variance and Regression. Introduction One-way Analysis of Variance Simple Linear Regression Exercises Miscellanea 12.Regression Models. Introduction Regression with Errors in Variables Logistic Regression Robust Regression Exercises Miscellanea Appendix Computer Algebra References 
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