Paper Title:
A Modified High-Order Moment Method Based on the Normal Transformation Polynomial
  Abstract

Normal transformation technique is often used in practical probabilistic analysis in structural or civil engineering especially when multivariate random variables with the probabilistic characteristics expressed using only statistical moments are involved. In this paper, a modified high-order moment method(MHOM) is given based on the polynomial coefficients of a third-order normal transformation polynomial (NTP) using the first four central moments of random variables having unknown distributions. The present high-order moment method is introduced into several typical test problems having unknown distributions are available. Since it needs neither the computation of derivatives nor iteration, and since it is unnecessary to know the probability distribution of the basic random variables, the present method should be practical in actual reliability problems. Applications to several typical examples have helped to elucidate the successful working of the present MHOM.

  Info
Periodical
Advanced Materials Research (Volumes 261-263)
Edited by
Jingying Zhao
Pages
873-877
DOI
10.4028/www.scientific.net/AMR.261-263.873
Citation
W. Li, "A Modified High-Order Moment Method Based on the Normal Transformation Polynomial", Advanced Materials Research, Vols. 261-263, pp. 873-877, 2011
Online since
May 2011
Authors
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Price
$32.00
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