An Introduction to Probability and Statistical Inference 2/e [Roussas] 9789865666743

An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations.

This text contains 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 is included in the statistical portion of the book to ensure continuity and enhance understanding. Each section includes relevant proofs where appropriate, followed by exercises with useful clues to their solutions. 

This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, business, social sciences or agriculture.

頁數：624
版次：第2版
年份：2015年
規格：平裝/單色
ISBN：9789865666743

Chapter 1 Some Motivating Examples and Some Fundamental Concepts
Chapter 2 The Concept of Probability and Some Basic Results
Chapter 3 Numerical Characteristics of a Random Variable, Some Special Random Variables
Chapter 4 Joint and Conditional p.d.f.'s, Conditional Expectation and Variance, Moment Generating Function, Covariance and Correlation Coefficient
Chapter 5 Independence of Random Variables and Some Applications
Chapter 6 Transformation of Random Variables
Chapter 7 Some Modes of Convergence of Random Variables, Applications
Chapter 8 An Overview of Statistical Inference
Chapter 9 Point Estimation
Chapter 10 Confidence Intervals and Confidence Regions
Chapter 11 Testing Hypotheses
Chapter 12 More About Testing Hypotheses
Chapter 13 A Simple Linear Regression Model
Chapter 14 Two Models of Analysis of Variance
Chapter 15 Some Topics in Nonparametric Inference