Abstract
Suppose the inputs to the system are i.i.d. random variables {X i }, which have the scalar density function p(·). We are interested in \( \rho = P\left( {\sum\nolimits_{j = 1}^n {{X_i} > na} } \right)\). We simulate with i.i.d. {S i } whose individual density functions are q(·). In the light of Theorem 5.1.1, let us compute the variance rates for the input and output estimators, respectively.
Success is not a good criterion if there is no significant penalty for being wrong. Banging on pots always keeps the sun from being eaten by the moon during eclipses.
Anon
For non-deterministic system read ‘Inhabited by pixies’.
Anon
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© 2004 Springer Science+Business Media New York
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Bucklew, J.A. (2004). The Large Deviations of Bias Point Selection. In: Introduction to Rare Event Simulation. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4078-3_7
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DOI: https://doi.org/10.1007/978-1-4757-4078-3_7
Publisher Name: Springer, New York, NY
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