On optimizing importance sampling simulations

The importance sampling technique can result in large savings in simulation time for simulation of tail probabilities, but only when performed optimally. In this paper, we derive criteria for optimal importance sampling simulation of an arbitrarily weighted sum of independent exponential variates. W...

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Veröffentlicht in:IEEE transactions on circuits and systems 1987-12, Vol.34 (12), p.1558-1563
Hauptverfasser: Parhi, K., Berkowitz, R.
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Berkowitz, R.
description The importance sampling technique can result in large savings in simulation time for simulation of tail probabilities, but only when performed optimally. In this paper, we derive criteria for optimal importance sampling simulation of an arbitrarily weighted sum of independent exponential variates. We illustrate the use of importance sampling for false alarm threshold settings in square law integrators and MTI delay line cancelers in the presence of gaussian spectrum correlated clutter. For these systems, importance sampling simulation can not be optimally performed. Hence, we apply a linear transformation to decorrelate the clutter and perform importance sampling simulation optimally on the transformed system.
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subjects Applied sciences
Clutter
Decorrelation
Delay lines
Discrete event simulation
Error analysis
Exact sciences and technology
Information, signal and communications theory
Monte Carlo methods
Radar
Random variables
Sampling methods
Tail
Telecommunications and information theory
title On optimizing importance sampling simulations
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