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Probability for Applications

Posted By: bookwyrm
Probability for Applications

Probability for Applications By Paul E. Pfeiffer
1990 | 679 Pages | ISBN: 1461576784 | PDF | 12 MB


Front Matter....Pages i-xix Front Matter....Pages 1-1 Trials and Events....Pages 3-24 Probability Systems....Pages 25-43 The Sigma Algebra of Events....Pages 44-48 Conditional Probability....Pages 49-71 Independence of Events....Pages 73-87 Conditional Independence of Events....Pages 89-122 Composite Trials....Pages 123-142 Front Matter....Pages 143-143 Random Variables and Probabilities....Pages 145-159 Borel Sets, Random Variables, and Borel Functions....Pages 160-163 Distribution and Density Functions....Pages 165-195 Random Vectors and Joint Distributions....Pages 197-213 Independence of Random Vectors....Pages 215-232 Functions of Random Variables....Pages 233-265 Some Properties of the Quantile Function....Pages 266-271 Front Matter....Pages 273-273 Mathematical Expectation....Pages 275-285 Expectation and Integrals....Pages 287-311 Supplementary Theoretical Details....Pages 312-322 Properties of Expectation....Pages 323-354 Variance and Standard Deviation....Pages 355-370 Covariance, Correlation, and Linear Regression....Pages 371-391 Front Matter....Pages 273-273 Convergence in Probability Theory....Pages 393-408 Transform Methods....Pages 409-441 Front Matter....Pages 443-443 Conditional Expectation, Given a Random Vector....Pages 445-480 Some Theoretical Details....Pages 481-490 Random Selection and Counting Processes....Pages 491-540 Poisson Processes....Pages 541-567 21a....Pages 568-581 Conditional Independence, Given a Random Vector....Pages 583-604 Proofs of Properties....Pages 605-614 Markov Sequences....Pages 615-660 Some Theoretical Details....Pages 661-668 Back Matter....Pages 669-681