ISBN: 9781118294406 | 1118294408

Format: HardcoverPublisher: Wiley

Pub. Date: 6/26/2012

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This book develops the basic concepts of probability, random variables, standard discrete and continuous distributions, joint probability distributions, laws of large numbers, the central limit theorem, and financial mathematics. Statistical inference and its application in stochastic processes, in particular to queueing systems, is also addressed. The presented theory is illustrated with many current real world examples and applications. This book reinforces and extends the material typically covered in introductory probability courses and is specifically written and accessible for an introductory probability course including students with diverse backgrounds and majoring in engineering, the applied sciences, business and finance, statistics, mathematics, and/or operations research. Chapter coverage includes: basic concepts; random variables and their distributions; discrete distributions; continuous distributions; random vectors; functions and multivariate normal distributions; conditional expected value and martingales; limit theorems; statistical inference; stochastic calculus; and mathematical calculus.