Likelihood Function Quiz

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Questions and Answers

What is the likelihood function?

  • The joint probability of observed data viewed as a function of the parameters of a statistical model (correct)
  • The posterior probability in Bayesian statistics
  • The probability density of observed data
  • The arg max over the parameter in maximum likelihood estimation

In maximum likelihood estimation, what serves as a point estimate for the parameter?

  • The Fisher information
  • Arg max of the likelihood function (correct)
  • The posterior probability
  • The Hessian matrix of the likelihood function

What does the Fisher information indicate in maximum likelihood estimation?

  • The estimate's precision (correct)
  • The estimate's consistency
  • The estimate's bias
  • The estimate's accuracy

How are parameter estimates derived in Bayesian statistics?

<p>From the posterior probability (C)</p> Signup and view all the answers

How is the likelihood function parameterized?

<p>By a (possibly multivariate) parameter $\theta$ (B)</p> Signup and view all the answers

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