TY  - BOOK
AU  - Lefebvre,Mario
ED  - SpringerLink (Online service)
TI  - Basic Probability Theory with Applications
T2  - Springer Undergraduate Texts in Mathematics and Technology,
SN  - 9780387749952
U1  - 519.2 23
PY  - 2008///
CY  - New York, NY
PB  - Springer New York
KW  - MATHEMATICS
KW  - COMPUTER SCIENCE
KW  - DISTRIBUTION (PROBABILITY THEORY)
KW  - ENGINEERING MATHEMATICS
KW  - ECONOMICS, MATHEMATICAL
KW  - PROBABILITY THEORY AND STOCHASTIC PROCESSES
KW  - APPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING
KW  - PROBABILITY AND STATISTICS IN COMPUTER SCIENCE
KW  - GAME THEORY/MATHEMATICAL METHODS
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-387-74995-2
ER  -