Basic Probability Theory with Applications [electronic resource] / by Mario Lefebvre.
Contributor(s): SpringerLink (Online service)Material type: TextSeries: Springer Undergraduate Texts in Mathematics and Technology: Publisher: New York, NY : Springer New York, 2009Description: XVI, 340 p. 50 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387749952Subject(s): Mathematics | Mathematical statistics | Probabilities | Applied mathematics | Engineering mathematics | Economic theory | Mathematics | Probability Theory and Stochastic Processes | Appl.Mathematics/Computational Methods of Engineering | Probability and Statistics in Computer Science | Economic Theory/Quantitative Economics/Mathematical MethodsAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online
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Preface -- Review of Differential Calculus -- Elementary Probability -- Random Variables -- Random Vectors -- Reliability -- Queueing -- Time Series -- Appendix A: List of Symbols and Abbreviations -- Appendix B: Statistical Tables -- Appendix C: Solutions to 'Solved Exercises' -- Appendix D: Answers to Even-Numbered Exercises -- Appendix E: Answers to Multiple-Choice Questions -- References -- Index.
This book presents elementary probability theory with interesting and well-chosen applications that illustrate the theory. An introductory chapter reviews the basic elements of differential calculus which are used in the material to follow. The theory is presented systematically, beginning with the main results in elementary probability theory. This is followed by material on random variables. Random vectors, including the all important central limit theorem, are treated next. The last three chapters concentrate on applications of this theory in the areas of reliability theory, basic queuing models, and time series. Examples are elegantly woven into the text and over 400 exercises reinforce the material and provide students with ample practice. This textbook can be used by undergraduate students in pure and applied sciences such as mathematics, engineering, computer science, finance and economics. A separate solutions manual is available to instructors who adopt the text for their course.