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In this chapter we review some of the recent developments for efficient estimation of rare-events, most of which involve application of importance sampling techniques to achieve variance reduction.
In this section we briefly explain how the weighting approach, as defined in the previous section, is an application of importance sampling.
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Cavitation results into dissipation of large quantity of energy locally through the violent collapse of cavities, intensifying chemical and physical processing applications of importance in food, pharmaceutical, and bioprocessing industries.
The processes of long memory have evolved into a vital and important part of the time series analysis during the last decades, as studies in empirical finance have sought to use the "ideal" models in practical applications of importance in the financial engineering.
Further, with respect to data sharing, when trials determine at the outset the purpose(s) for which they will use adherence data, it will be easier to develop strategies for sharing that information with other trials, planned or under way, thereby achieving economies of scale and helping accumulate a body of common knowledge for various applications of importance.
Occupant detection in vehicles is an application of particular importance for capacitive sensors.
Other approximated approaches have been also proposed, considering the application of the importance sampling within the Gibbs sampler [32].
An example of application of great importance to the chemical pulping of wood is used, emphasizing the differences with the typical situation where only diffusion is considered.
This paper proposes the application of sequential importance sampling (SIS) to the estimation of the probability of failure in structural reliability.
This chapter describes the series solution of second-order ordinary differential equations (ODEs) by the method of Frobenius, with application to ODEs of importance in physics and engineering.
The device physics, however, may lead to various applications of technological importance.
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