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For an introductory course in probability with high school algebra the only prerequisite.
"More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills."--Publisher's description.
Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there’s Schaum’s. More than 40 million students have trusted Schaum’s to help them succeed in the classroom and on exams. Schaum’s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. Schaum’s Outline of Probability, Random Variables, and Random Processes, Fourth Edition is packed with hundreds of examples, solved problems, and practice exercises to test your skills. This updated guide approaches the subject in a more concise, ordered manner than most standard texts, which are often filled with extraneous material. Schaum’s Outline of Probability, Random Variables, and Random Processes, Fourth Edition features: • 405 fully-solved problems • 22 problem-solving videos • An accessible review of probability and statistics concepts • Clear, concise explanations of probability, random variables, and random processes • Content supplements the major leading textbooks in probability and statistics • Content that is appropriate for Probability, Random Processes, Stochastic Processes, Probability and Random Variables, Introduction to Probability and Statistics courses PLUS: Access to the revised Schaums.com website and new app, containing 22 problem-solving videos, and more. Schaum’s reinforces the main concepts required in your course and offers hundreds of practice exercises to help you succeed. Use Schaum’s to shorten your study time—and get your best test scores! Schaum’s Outlines—Problem solved.
Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses. It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background. The book has the following features: Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy. Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities. Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of moments, and least squares. The last four chapters provide an introduction to several topics usually studied in subsequent engineering courses: communication systems and information theory; optimal filtering (Wiener and Kalman); adaptive filtering (FIR and IIR); and antenna beamforming, channel equalization, and direction finding. This material is available electronically at the companion website. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal processing.
A study-guide to probability and statistics that includes coverage of course concepts and 897 fully solved problems.
Now available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.
Study faster, learn better, and get top grades Modified to conform to the current curriculum, Schaum's Outline of Probability, Random Variables, and Random Processes complements these courses in scope and sequence to help you understand its basic concepts. The book offers extra practice on topics such as bivariate random variables, joint distribution functions, moment generating functions, Poisson processes, Wiener processes, power spectral densities, and white noise. You'll also get coverage of linear systems to random outputs, Fourier series and Karhunen-Loéve expansions, Fourier transform of random processes, parameter estimation, Bayes' estimation, and mean square estimation. Appropriate for the following courses: Probability, Random Processes, Stochastic Processes, Probability and Random Variables, Introduction to Probability and Statistics Features: 405 solved problems Additional material on distributions, the Markov Process, and Martingales Support for all the major textbooks for probability, variables, and processes courses Topics include: Probability, Random Variables, Multiple Random Variables, Functions of Random Variables, Expectation, Limit Theorems, Random Processes, Analysis and Processing of Random Processes, Estimation Theory, Decision Theory, Queueing Theory
Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books