1. CSE 221: Probabilistic Analysis of Computer Systems Topics covered: Statistical inference

2. Parameter estimation: Poisson distribution  Parameters to be estimated:  Observations:

3. Parameter estimation: Poisson distribution (contd..)  Likelihood function:

4. Parameter estimation: Poisson distribution (contd..)  Maximum likelihood estimate:

5. Parameter estimation: Poisson distribution (contd..)  Example:

6. Parameter estimation: Exponential distribution  Parameters to be estimated:  Observations:

7. Parameter estimation: Exponential distribution (contd..)  Likelihood function:

8. Parameter estimation: Exponential distribution (contd..)  Maximum likelihood estimate:

9. Parameter estimation: Exponential distribution (contd..)  Example:

10. Parameter estimation: Uniform distribution  Parameters to be estimated:  Observations:

11. Parameter estimation: Uniform distribution (contd..)  Likelihood function

12. Parameter estimation: Uniform distribution (contd..)  Maximum likelihood estimate

13. Parameter estimation: Uniform distribution (contd..)  Example: