TECHNICAL NOTES
Apr 1, 1984

Approximations of Convolution Integrals

Publication: Journal of Engineering Mechanics
Volume 110, Issue 4

Abstract

The distribution of sums of independent variables can generally be obtained from convolution integrals by numerical analysis. This paper develops closed-form approximations of and bounds on convolution integrals based on pragmatical and analytical considerations. It shows that convolution integrals can be approximated simply and that the Chernoff inequality provides a satisfactory bound on these integrals.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Benjamin, J. R., and Cornell, C. A., Probability, Statistics, and Decision for Civil Engineers, McGraw‐Hill Book Co., New York, N.Y., 1970.
2.
Hasofer, A. M., and Lind, N. C., “Exact and Invariant Second‐Moment Code Format,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM1, Paper 10376, Feb., 1974, pp. 111–121.
3.
Rackwitz, R., and Fiessler, B., “An Algorithm for the Calculation of Structural Reliability under Combined Loading,” Heft No. 17, LKI, Technische Universitat Munchen, July, 1977, pp. 1–5.
4.
Turkstra, C. J., “Theory of Structural Design Decision,” Solid Mechanics Study No. 2, University of Waterloo, Waterloo, Ontario, Canada, 1970.
5.
Van Trees, H. L., Detection, Estimation, and Modulation Theory, Part 1, John Wiley and Sons, Inc., New York, N.Y., 1968.
6.
Wozencraft, J. M., and Jacobs, I. M., Principles of Communication Engineering, John Wiley and Sons, Inc., New York, N.Y., 1965.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 110Issue 4April 1984
Pages: 633 - 639

History

Published online: Apr 1, 1984
Published in print: Apr 1984

Permissions

Request permissions for this article.

Authors

Affiliations

Mircea Grigoriu, M. ASCE
Assoc. Prof. of Civ. Engrg., Cornell Univ., Ithaca, N.Y. 14853

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share