Schaum's outlines : probability, random variables, and random processes / Hwei P. Hsu

Author:: Hsu, Hwei P. (Hwei Piao), 1930-
Additional Titles:: Probability, random variables, and random processes
Published:: New York : McGraw-Hill Education, [2014]
Edition:: Third edition.
Physical Description:: ix, 422 pages : illustrations ; 28 cm.

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Series:

Schaum's outline series

Contents:

Machine generated contents note: ch. 1 Probability -- 1.1.Introduction -- 1.2.Sample Space and Events -- 1.3.Algebra of Sets -- 1.4.Probability Space -- 1.5.Equally Likely Events -- 1.6.Conditional Probability -- 1.7.Total Probability -- 1.8.Independent Events -- Solved Problems -- ch. 2 Random Variables -- 2.1.Introduction -- 2.2.Random Variables -- 2.3.Distribution Functions -- 2.4.Discrete Random Variables and Probability Mass Functions -- 2.5.Continuous Random Variables and Probability Density Functions -- 2.6.Mean and Variance -- 2.7.Some Special Distributions -- 2.8.Conditional Distributions -- Solved Problems -- ch. 3 Multiple Random Variables -- 3.1.Introduction -- 3.2.Bivariate Random Variables -- 3.3.Joint Distribution Functions -- 3.4.Discrete Random Variables---Joint Probability Mass Functions -- 3.5.Continuous Random Variables---Joint Probability Density Functions -- 3.6.Conditional Distributions -- 3.7.Covariance and Correlation Coefficient -- 3.8.Conditional Means and Conditional Variances -- 3.9.N-Variate Random Variables -- 3.10.Special Distributions -- Solved Problems -- ch. 4 Functions of Random Variables, Expectation, Limit Theorems -- 4.1.Introduction -- 4.2.Functions of One Random Variable -- 4.3.Functions of Two Random Variables -- 4.4.Functions of n Random Variables -- 4.5.Expectation -- 4.6.Probability-Generating Functions -- 4.7.Moment-Generating Functions -- 4.8.Characteristic Functions -- 4.9.The Laws of Large Numbers and the Central Limit Theorem -- Solved Problems -- ch. 5 Random Processes -- 5.1.Introduction -- 5.2.Random Processes -- 5.3.Characterization of Random Processes -- 5.4.Classification of Random Processes -- 5.5.Discrete-Parameter Markov Chains -- 5.6.Poisson Processes -- 5.7.Wiener Processes -- 5.8.Martingales -- Solved Problems -- ch. 6 Analysis and Processing of Random Processes -- 6.1.Introduction -- 6.2.Continuity, Differentiation, Integration -- 6.3.Power Spectral Densities -- 6.4.White Noise -- 6.5.Response of Linear Systems to Random Inputs -- 6.6.Fourier Series and Karhunen-Loeve Expansions -- 6.7.Fourier Transform of Random Processes -- Solved Problems -- ch. 7 Estimation Theory -- 7.1.Introduction -- 7.2.Parameter Estimation -- 7.3.Properties of Point Estimators -- 7.4.Maximum-Likelihood Estimation -- 7.5.Bayes' Estimation -- 7.6.Mean Square Estimation -- 7.7.Linear Mean Square Estimation -- Solved Problems -- ch. 8 Decision Theory -- 8.1.Introduction -- 8.2.Hypothesis Testing -- 8.3.Decision Tests -- Solved Problems -- ch. 9 Queueing Theory -- 9.1.Introduction -- 9.2.Queueing Systems -- 9.3.Birth-Death Process -- 9.4.The M/M/1 Queueing System -- 9.5.The M/M/s Queueing System -- 9.6.The M/W/1/K Queueing System -- 9.7.The M/M/s/K Queueing System -- Solved Problems -- ch. 10 Information Theory -- 10.1.Introduction -- 10.2.Measure of Information -- 10.3.Discrete Memoryless Channels -- 10.4.Mutual Information -- 10.5.Channel Capacity -- 10.6.Continuous Channel -- 10.7.Additive White Gaussian Noise Channel -- 10.8.Source Coding -- 10.9.Entropy Coding -- Solved Problems -- Appendix A Normal Distribution -- Appendix B Fourier Transform -- B.1.Continuous-Time Fourier Transform -- B.2.Discrete-Time Fourier Transform.

Summary:

With 405 fully-solved problems plus 23 problem-solving videos available online, this guide may be used with the following courses: Probability, Random Processes, Stochastic Processes, Probability and Random Variables, and Introduction to Probability and Statistics.

Subject(s):

ISBN:

9780071822985 (pbk.)
0071822984 (pbk.)

Note:

Previous edition: 2011.
Includes index.

View MARC record | catkey: 12351806