Monte Carlo Methods and Importance Sampling

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Lecture Notes for Stat 578Cc Eric C. AndersonStatistical Genetics20 October 1999(subbin' Thompson) Monte Carlo Methods and Importance SamplingHistory and de nition:The term \ Monte Carlo " was apparently rst used by Ulam and vonNeumann as a Los Alamos code word for the stochastic simulations they applied to building betteratomic bombs. Their Methods , involving the laws of chance, were aptly named after the inter-national gaming destination; the moniker stuck and soon after the War a wide range of stickyproblems yielded to the new techniques. Despite the widespread use of the Methods , and numerousdescriptions of them in articles and monographs, it is virtually impossible to nd a succint de ni-tion of \ Monte Carlo method" in the literature.

Monte Carlo Methods and Importance Sampling History and deflnition: The term \Monte Carlo" was apparently flrst used by Ulam and von Neumann as a Los Alamos code word for the stochastic simulations they applied to building better atomic bombs. Their methods, involving the laws of chance, were aptly named after the inter-

  Importance, Sampling, Importance sampling