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

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

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

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

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

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

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

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

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

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

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

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

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

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