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The Large Deviations of Bias Point Selection

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Introduction to Rare Event Simulation

Part of the book series: Springer Series in Statistics ((SSS))

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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.

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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

  • Print ISBN: 978-1-4419-1893-2

  • Online ISBN: 978-1-4757-4078-3

  • eBook Packages: Springer Book Archive

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