Journal ArticleDOI
Random Fields: Analysis and Synthesis.
J. K. Ord,Erik H. Vanmarcke +1 more
Reads0
Chats0
TLDR
The purpose of this book is to bring together existing and new methodologies of random field theory and indicate how they can be applied to these diverse areas where a "deterministic treatment is inefficient and conventional statistics insufficient."About:
This article is published in Journal of the American Statistical Association.The article was published on 1985-06-01. It has received 1639 citations till now. The article focuses on the topics: Random field.read more
Citations
More filters
Journal ArticleDOI
Using occupancy grids for mobile robot perception and navigation
TL;DR: An approach to robot perception and world modeling that uses a probabilistic tesselated representation of spatial information called the occupancy grid, a multidimensional random field that maintains stochastic estimates of the occupancy state of the cells in a spatial lattice is reviewed.
Journal ArticleDOI
Construction of correlation functions in two and three dimensions
Gregory Gaspari,Stephen E. Cohn +1 more
TL;DR: In this paper, the authors focus on the construction of simply parametrized covariance functions for data-assimilation applications and provide a self-contained, rigorous mathematical summary of relevant topics from correlation theory.
Journal ArticleDOI
Characterization of geotechnical variability
Kok-Kwang Phoon,Fred H. Kulhawy +1 more
TL;DR: In this paper, the three primary sources of geotechnical uncertainties are inherent variability, measurem, and measurem uncertainties, and the three main sources of variability are measurem and inherent variability.
Journal ArticleDOI
The stochastic finite element method: Past, present and future
TL;DR: A state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future are provided.
Journal ArticleDOI
Probabilistic slope stability analysis by finite elements
D. V. Griffiths,Gordon A. Fenton +1 more
TL;DR: In this paper, the authors investigated the probability of failure of a cohesive slope using both simple and more advanced probabilistic analysis tools, and concluded that simplified probabilism, in which spatial variability is ignored by assuming perfect correlation, can lead to unconservative estimates of the failure probability.