1. Chapter 5. Operations on Multiple R. V.'s 1 Chapter 5. Operations on Multiple Random Variables 0. Introduction 1. Expected Value of a Function of Random Variables 2. Joint Characteristic Functions 3. Jointly Gaussian Random Variables 4. Transformations of Multiple Random Variables 5. Linear Transformations of Gaussian Random Variables 6. Computer Generation of Multiple Random Variables 7. Sampling and Some Limit Theorems 8. Complex Random Variables

2. Chapter 5. Operations on Multiple R. V.'s 2 5.1 Expected Value of a Function of Random Variables

3. Chapter 5. Operations on Multiple R. V.'s 3 5.1 Expected Value of a Function of Random Variables

4. Chapter 5. Operations on Multiple R. V.'s 4 5.1 Expected Value of a Function of Random Variables

5. Chapter 5. Operations on Multiple R. V.'s 5 5.1 Expected Value of a Function of Random Variables

6. Chapter 5. Operations on Multiple R. V.'s 6 5.1 Expected Value of a Function of Random Variables

7. Chapter 5. Operations on Multiple R. V.'s 7 5.1 Expected Value of a Function of Random Variables

8. Chapter 5. Operations on Multiple R. V.'s 8 5.1 Expected Value of a Function of Random Variables

9. Chapter 5. Operations on Multiple R. V.'s 9 5.1 Expected Value of a Function of Random Variables

10. Chapter 5. Operations on Multiple R. V.'s 10 5.2 Joint Characteristic Functions

11. Chapter 5. Operations on Multiple R. V.'s 11 5.2 Joint Characteristic Functions

12. Chapter 5. Operations on Multiple R. V.'s 12 5.2 Joint Characteristic Functions

13. Chapter 5. Operations on Multiple R. V.'s 13 5.3 Jointly Gaussian Random Variables

14. Chapter 5. Operations on Multiple R. V.'s 14 5.3 Jointly Gaussian Random Variables

15. Chapter 5. Operations on Multiple R. V.'s 15 5.3 Jointly Gaussian Random Variables

16. Chapter 5. Operations on Multiple R. V.'s 16 5.3 Jointly Gaussian Random Variables

17. Chapter 5. Operations on Multiple R. V.'s 17 5.3 Jointly Gaussian Random Variables

18. Chapter 5. Operations on Multiple R. V.'s 18 5.4 Transformations of Multiple Random Variables

19. Chapter 5. Operations on Multiple R. V.'s 19 5.4 Transformations of Multiple Random Variables

20. Chapter 5. Operations on Multiple R. V.'s 20 5.4 Transformations of Multiple Random Variables

21. Chapter 5. Operations on Multiple R. V.'s 21 5.4 Transformations of Multiple Random Variables

22. Chapter 5. Operations on Multiple R. V.'s 22 5.4 Transformations of Multiple Random Variables

23. Chapter 5. Operations on Multiple R. V.'s 23 5.4 Transformations of Multiple Random Variables

24. Chapter 5. Operations on Multiple R. V.'s 24 5.5 Linear Transformations of Gaussian Random Variables

25. Chapter 5. Operations on Multiple R. V.'s 25 5.5 Linear Transformations of Gaussian Random Variables

26. Chapter 5. Operations on Multiple R. V.'s 26 5.5 Linear Transformations of Gaussian Random Variables

27. Chapter 5. Operations on Multiple R. V.'s 27 5.6 Computer Generation of Multiple Random Variables

28. Chapter 5. Operations on Multiple R. V.'s 28 5.7 Sampling and Some Limit Theorems

29. Chapter 5. Operations on Multiple R. V.'s 29 5.7 Sampling and Some Limit Theorems

30. Chapter 5. Operations on Multiple R. V.'s 30 5.7 Sampling and Some Limit Theorems

31. Chapter 5. Operations on Multiple R. V.'s 31 5.7 Sampling and Some Limit Theorems

32. Chapter 5. Operations on Multiple R. V.'s 32 5.7 Sampling and Some Limit Theorems

33. Chapter 5. Operations on Multiple R. V.'s 33 5.7 Sampling and Some Limit Theorems

34. Chapter 5. Operations on Multiple R. V.'s 34 5.8 Complex Random Variables