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Schaum's outlines. Probability, random variables, and random processes

Author: Hwei P Hsu
Publisher: New York : McGraw-Hill, 2014.
Series: Schaum's outline series.
Edition/Format:   Print book : English : 3rd edView all editions and formats
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.
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Details

Genre/Form: Problems and exercises
Study guides
Problems, exercises, etc
Document Type: Book
All Authors / Contributors: Hwei P Hsu
ISBN: 9780071822985 0071822984
OCLC Number: 871305354
Notes: Previous edition: 2011.
Includes index.
Description: ix, 422 pages : illustrations ; 28 cm.
Contents: 1. Probability --
Sample space and events --
Algebra of sets --
Probability space --
Equally likely events --
Conditional probability --
Total probability --
Independent events --
2. Random variables --
Distribution functions --
Discrete random variables and probability mass function --
Continuous random variables and probability density functions --
Mean and variance --
Some special distributions --
Conditional distributions --
3. Multiple random variables --
Bivariate random variables --
Joint distribution functions --
Discrete random variables : joint probability mass functions --
Continuous random variables : joint probability density functions --
Conditional distributions --
Covariance and correlation coefficient --
Conditional means and conditional variances --
N-Variate random variables --
Special distributions --
4. Functions of random variables, expectation, limit theorems --
Functions of one random variable --
Functions of two random variables --
Functions of n random variables --
Expectation --
Probability-generating functions --
Moment-generating functions --
Characteristic functions --
The laws of large numbers and the central limit theorem --
5. Random processes --
Discrete-parameter Markov chains --
Poisson processes --
Wiener processes --
Martingales --
6. Analysis and processing of random processes --
Continuity, differentiation, integration --
Power spectral densities --
White noise --
Response of linear systems to random inputs --
Fourier series and Karhunen-Loéve expansions --
Fourier transform of random processes --
7. Estimation theory --
Parameter estimation --
Properties of point estimators --
Maximum-likelihood estimation --
Bayes' estimation --
Mean square estimation --
Linear mean square estimation --
8. Decision theory --
Hypothesis testing --
Decision tests --
9. Queueing theory --
Queueing systems --
Birth-death process --
10. Information theory --
Measure of information --
Discrete memoryless channels --
Mutual information --
Channel capacity --
Continuous channel --
Additive white Gaussian noise channel --
Source coding --
Entropy coding --
Appendix A. Normal distribution --
Appendix B. Fourier transform.
Series Title: Schaum's outline series.
Other Titles: Probability, random variables, and random processes
Responsibility: Hwei P. Hsu.

Abstract:

Includes more than 400 solved problems, examples, and practice exercises to sharpen your problem-solving skills of probability, random variables, and random processes.  Read more...

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