Importance sampling

Importance sampling is a Monte Carlo method for evaluating properties of a particular distribution, while only having samples generated from a different distribution than the distribution of interest. Its introduction in statistics is generally attributed to a paper by Teun Kloek and Herman K. van Dijk in 1978,[1] but its precursors can be found in statistical physics as early as 1949.[2][3] Importance sampling is also related to umbrella sampling in computational physics. Depending on the application, the term may refer to the process of sampling from this alternative distribution, the process of inference, or both.

  1. ^ Kloek, T.; van Dijk, H. K. (1978). "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo" (PDF). Econometrica. 46 (1): 1–19. doi:10.2307/1913641. JSTOR 1913641.
  2. ^ Goertzle, G. (1949). "Quota Sampling and Importance Functions in Stochastic Solution of Particle Problems". Technical Report ORNL-434, Oak Ridge National Laboratory. Aecd; 2793. hdl:2027/mdp.39015086443671.
  3. ^ Kahn, H.; Harris, T. E. (1949). "Estimation of Particle Transmission by Random Sampling". Monte Carlo Method. Applied Mathematics Series. 12. National Bureau of Standards.: 27–30.