Sequential Computer Experimental Design for Estimating an Extreme Probability or Quantile

Autor: Chen, Hao, Welch, William J.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: A computer code can simulate a system's propagation of variation from random inputs to output measures of quality. Our aim here is to estimate a critical output tail probability or quantile without a large Monte Carlo experiment. Instead, we build a statistical surrogate for the input-output relationship with a modest number of evaluations and then sequentially add further runs, guided by a criterion to improve the estimate. We compare two criteria in the literature. Moreover, we investigate two practical questions: how to design the initial code runs and how to model the input distribution. Hence, we close the gap between the theory of sequential design and its application.
Databáze: arXiv