Level Crossing Problem Of Random Functions and An Application

Date

1982

Author

Yücemen, M. Semih

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The level crossing theory of random functions provides a convenient framework to evaluate the reliability of engineering systems which are subject to random environmental conditions. In this paper, the main results available for the level crossing problem of random processes and random fields are presented. Particular emphasis is given to the asymptotic results concerning the homogeneous Gaussian random functions. The effective use of these results is demonstrated in the formulation of the seismic reliability of an earth slope in the space-time domain.

Subject Keywords

Level crossing, first passage, random functions, random fields, seismic safety, space-time processes, earth slope reliability

URI

https://hdl.handle.net/11511/112407

Collections

Department of Statistics, Article