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On this page

  • Simple understanding
  • Basics of statistical inference
  • Topics in statistical modeling
  • Simulation and the Monte Carlo Method

Simple understanding

  • Imitating a probability distribution
  • Probability density is not probability
  • Simply the probability density function
  • Statistical procedure to conclude whether a given coin is biased

Basics of statistical inference

  • Nonparametric does not mean no parameters
  • Explaining the terms used in classical statistical inference
  • Confidence interval versus prediction interval: confidence interval will be always narrower than prediction interval

Topics in statistical modeling

  • Modeling data after transformation: advantages and disadvantages

Simulation and the Monte Carlo Method

  • Inverse transformation sampling
  • Rejection sampling
  • Importance sampling
  • Gibbs sampling
  • Metropolis sampling
  • Metropolis-Hastings sampling
  • Slice sampling
  • Elliptical slice sampling
  • HMC

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