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Importance Sampling×Teori Nilai Extrem (EVT)×
BidangSimulasiKewangan
KeluargaProcess / pipelineRegression model
Tahun asal19512001
PengasasHerman Kahn & Theodore Harris (RAND Corporation, 1951)Coles (textbook treatment); McNeil, Frey & Embrechts
JenisMonte Carlo variance-reduction techniqueTail / extreme-event model
Sumber perintisRubinstein, R.Y. & Kroese, D.P. (2016). Simulation and the Monte Carlo Method (3rd ed.). Wiley. DOI ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598
AliasIS, weighted Monte Carlo, Önem ÖrneklemesiEVT, generalized extreme value, generalized Pareto distribution, peaks over threshold
Berkaitan55
RingkasanImportance sampling is a Monte Carlo variance-reduction technique that shifts the sampling distribution toward the region of interest — typically a rare or extreme event — so that informative samples are drawn far more often than under the original distribution. Developed at the RAND Corporation by Herman Kahn and Theodore Harris around 1951, it makes tail-probability estimation (such as Value-at-Risk or system-failure probability) tractable where standard Monte Carlo would require an astronomically large number of runs.Extreme Value Theory is a statistical framework for modelling the rare events that live in the tail of a probability distribution. As developed in Coles (2001) and applied to risk by McNeil, Frey & Embrechts (2005), it offers two standard routes: the Generalized Extreme Value (GEV) distribution for block maxima and the Generalized Pareto Distribution (GPD), used in the peaks-over-threshold approach, for exceedances above a high threshold.
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ScholarGateBandingkan kaedah: Importance Sampling · Extreme Value Theory. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare