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Introduction to Probability with Statistical Applications

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This book provides a calculus-based introduction to probability and statistics. It contains enough material for two semesters but, with judicious selection, it can be used as a textbook for a one-semester course, either in probability and statistics or in probability alone.

Each section contains many examples and exercises and, in the statistical sections, examples taken from current research journals.

The discussion is rigorous, with carefully motivated definitions, theorems and proofs, but aimed for an audience, such as computer science students, whose mathematical background is not very strong and who do not need the detail and mathematical depth of similar books written for mathematics or statistics majors.

The use of linear algebra is avoided and the use of multivariable calculus is minimized as much as possible. The few concepts from the latter, like double integrals, that were unavoidable, are explained in an informal manner, but triple or higher integrals are not used. The reader may find a few brief references to other more advanced concepts, but they can safely be ignored.
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