A Saddlepoint Approximation Method for Uncertainty Analysis

Abstract

The availability of computationally efficient and accurate methods for probabilistic computation is crucial to the success of applications of probabilistic design using complex engineering simulation models. to address this need, a Saddlepoint Approximation method for probabilistic engineering analysis is introduced. a general performance function is approximated at the Most Likelihood Point with either linear or quadratic forms and the Saddlepoint Approximation is then applied to evaluate the probability associated with the performance. the proposed approach provides highly accurate probabilistic results while maintaining minimum computational requirement. Two examples are presented to demonstrate the effectiveness of the proposed method.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Most Likelihood Point; Saddlepoint approximation; Uncertainty analysis

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 American Society of Mechanical Engineers, All rights reserved.

Publication Date

01 Jan 2004

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