TY - BOOK AU - Roussas,George G. TI - Introduction to probability and statistical inference SN - 9780128001141 U1 - 519.2 23 PY - 2015/// CY - Amsterdam PB - Academic Press KW - Probabilities KW - Mathematical statistics N1 - Includes bibliographical references and index; 1. Some motivating examples and some fundamental concepts -- 2. The concept of probability and some basic results -- 3. Numerical characteristics of a random variable, some special random variables -- 4. Joint and conditional P.D.F.'s, conditional expectation and variance, moment generating function, covariance and correlation coefficient -- 5. Independence of random variables and some applications -- 6. Transformation of random variables -- 7. Some modes of convergence of random variables, applications -- 8. An overview of statistical inference -- 9. Point estimation -- 10. Confidence intervals and confidence regions -- 11. Testing hypotheses -- 12. More about testing hypotheses -- 13. A simple linear regression model -- 14. Two models of analysis of variance -- 15. Some topics in nonparametric inference-- Index N2 - This book provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. * Content, examples, an enhanced number of exercises, and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities* Reorganized material in the statistical portion of the book to ensure continuity and enhance understanding* A relatively rigorous, yet accessible and always within the prescribed prerequisites, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines* Relevant proofs where appropriate in each section, followed by exercises with useful clues to their solutions* Brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to instructors in an Answers Manual ER -