Probability And Random Variable Lecture(Lec9)

18
Lecture 9 Examples of Characteristic functions

Transcript of Probability And Random Variable Lecture(Lec9)

Page 1: Probability And Random Variable Lecture(Lec9)

Lecture 9

Examples of Characteristic functions

Page 2: Probability And Random Variable Lecture(Lec9)
Page 3: Probability And Random Variable Lecture(Lec9)
Page 4: Probability And Random Variable Lecture(Lec9)
Page 5: Probability And Random Variable Lecture(Lec9)
Page 6: Probability And Random Variable Lecture(Lec9)
Page 7: Probability And Random Variable Lecture(Lec9)
Page 8: Probability And Random Variable Lecture(Lec9)
Page 9: Probability And Random Variable Lecture(Lec9)
Page 10: Probability And Random Variable Lecture(Lec9)

Assignment

• Derive the moment generating function and using it derive the mean and variance of following random variables.

• Binomial, poisson

• Gaussian, uniform and exponential

Page 11: Probability And Random Variable Lecture(Lec9)

Transformation

Page 12: Probability And Random Variable Lecture(Lec9)
Page 13: Probability And Random Variable Lecture(Lec9)
Page 14: Probability And Random Variable Lecture(Lec9)
Page 15: Probability And Random Variable Lecture(Lec9)
Page 16: Probability And Random Variable Lecture(Lec9)
Page 17: Probability And Random Variable Lecture(Lec9)
Page 18: Probability And Random Variable Lecture(Lec9)

Chapter 3 is over