An Introduction to Probability and Statistical Inference, Third Edition guides the reader through probability models and statistical methods to develop critical-thinking skills. Written by award-winning author George Roussas, this valuable text introduces a thinking process to help users obtain the best solution to a posed question or situation and provides a plethora of examples and exercises to illustrate applying statistical methods to different situations. Offers a relatively rigorous, yet accessible, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplinesIncludes relevant proofs and exercises with useful hints to their solutionsProvides brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to qualified instructors in the Solutions Manual INDICE: 1. Some Motivating Examples and Some Fundamental Concepts2. The Concept of Probability and Some Basic Results3. Numerical Characteristics of a Random Variable, Some Special Random Variables4. Joint and Conditional p.d.f.'s, Conditional Expectation and Variance, Moment Generating Function, Covariance and Correlation Coefficient5. Independence of Random Variables and Some Applications6. Transformation of Random Variables7. Some Modes of Convergence of Random Variables, Applications8. An Overview of Statistical Inference9. Point Estimation10. Confidence Intervals and Confidence Regions11. Testing Hypotheses12. More About Testing Hypotheses13. A Simple Linear Regression Model14. Two Models of Analysis of Variance15. Some Topics in Nonparametric Inference16. Appendix
- ISBN: 978-0-443-18720-9
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 664
- Fecha Publicación: 22/05/2024
- Nº Volúmenes: 1
- Idioma: Inglés