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Schaum's Outline of Probability, Random Variables, and Random Processes, Second Edition (Schaum's Outline Series) Paperback – 1 Sep 2010
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About the Author
Hwei P. Hsu was Professor of Electrical Engineering at Fairleigh Dickinson University. He received his B.S. from National Taiwan University and M.S. and Ph.D. from Case Institute of Technology. He has published several books which include Schaum's Outline of Analog and Digital Communications and Schaum's Outline of Signals and Systems.
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A good argument could be made that in terms of evolving mathematical thinking -- definitions and theorems yielding analysis of applications and problems -- Hsu is far superior. He is quick and tight. On the other hand, sophomore students might not be able to get a more sophisticated mathematical exposition. That's where Devore and Johnson come in. Their texts also present the usual histograms, dot-plots, stem and leaf etc. level stuff of elementary statistics. They don't, however, take the use of calculus far enough. Somewhere in-between is the ideal. If you can get students up to Hsu then you've done a good job teaching.
The only slight catch with Hsu's book is that it stresses electrical and computer engineering over other types -- civil and mechanical. Some distributions that are in Devore and Johnson are not in Hsu and vice-versa. That said the core distributions (normal and binomial) are succinctly covered with as much calculus as is possible for a student having taken or in the process of taking a full two or three term calculus sequence.
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