An Introduction to Probability and Statistical Inference

The 3rd Edition of An Introduction to Probability and Statistical Inference provides a comprehensive theoretical foundation in probability models and statistical methods to build critical-thinking skills. Written by George G. Roussas and published by Academic Press in 2024, this textbook connects abstract mathematical principles directly with structured analytical problem-solving in upper-level undergraduate and graduate university courses.

The volume systematically addresses major core topics within statistical methodology. Specific coverage includes point estimation, confidence intervals, and hypothesis testing. Further chapters detail simple linear regression models, two distinct models of analysis of variance, and methods of nonparametric inference.

Instructors can utilize the first seven chapters independently to format a dedicated introductory probability course. The textbook primarily targets advanced students taking courses on probability and statistical inference, while offering a structured reference for researchers and academics across mathematics, engineering, physical sciences, and life sciences.