Introduction to Probability with Statistical Applications (eBook)

Introduction to Probability with Statistical Applications targets non-mathematics students, undergraduates and graduates, who do not need an exhaustive treatment of the subject. The presentation is rigorous and contains theorems and proofs, and linear algebra is largely avoided so only a minimal amount of multivariable calculus is needed. The book contains clear definitions, simplified notation and techniques of statistical analysis, which combined with well-chosen examples and exercises, motivate the exposition. Theory and applications are carefully balanced. Throughout the book there are references to more advanced concepts if required.

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Introduction to Probability with Statistical Applications targets non-mathematics students, undergraduates and graduates, who do not need an exhaustive treatment of the subject. While the presentation is rigorous and contains theorems and proofs, linear algebra is largely avoided and only a minimal amount of multivariable calculus is needed.Key features:Clear definitions, simplified notation and techniques of statistical analysis, combined with well-chosen examples and exercises, motivate the expositionTheory and applications carefully balancedTopics include random phenomena -- discrete and continuous random variables -- expectations and variance, and common probability distributions such as the binomial, Poisson, and normalCombinatorial principles involve all four arithmetic operations; emphasis on tree diagramsReferences to more advanced concepts throughout the book, but may be safely skipped, depending on the readerFor students in a variety of disciplines, including computer science, engineering, natural and social sciences.