@inproceedings{248dd3feb1534a82bc845de8e812eceb,

title = "Exact expression for the distribution of linear combinations of uniform random variables",

abstract = "Structural dynamic analysis have often in the past relied on the assumption that the system under consideration is well known ahd have been associated the unpredictability of the response with a lack of knowledge of the excitation. More recently, however, it has been found that a proper understanding of the behavior of certain mechanical systems can only be reached by considering some of the system parameters, such as mass, stiffness and/or damping to be random variables. The goal of the present paper is to partially address this problem by describing a new numerical technique for the evaluation of the probability that a linear combination of independent uniformly distributed random variables exceeds a given threhshold and also of some related conditional moments.",

author = "Lin, {Chung Chih} and Marc Mignolet",

year = "1992",

month = dec,

day = "1",

language = "English (US)",

isbn = "0872628736",

series = "Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference",

publisher = "Publ by ASCE",

pages = "555--558",

booktitle = "Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference",

note = "Proceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability ; Conference date: 08-07-1992 Through 10-07-1992",

}