### Abstract

A computational technique is presented to evaluate a class of probabilities and expectations of multivariate uniform random variables encountered in the analysis of certain random mechanical systems. First, a finite series representation is derived for the probability that a linear combination of n independent random variables uniformly distributed in the interval [0, 1] does not exceed a given threshold. This exact representation is then used to obtain closed from expressions for various moments, means in particular, of uniform random variables conditional on a linear inequality constraint. Finally, various practical implementation aspects of these computations are discussed and a comparison with the Monte Carlo simulation method is conducted that validates the use of the proposed technique.

Original language | English (US) |
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Pages (from-to) | 65-74 |

Number of pages | 10 |

Journal | Probabilistic Engineering Mechanics |

Volume | 7 |

Issue number | 2 |

DOIs | |

State | Published - 1992 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Civil and Structural Engineering
- Nuclear Energy and Engineering
- Condensed Matter Physics
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering